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Special functions : a unified theory based on singularities / Sergei Yu. Slavyanov and Wolfgang Lay ; with a foreword by Alfred Seeger
| Special functions : a unified theory based on singularities / Sergei Yu. Slavyanov and Wolfgang Lay ; with a foreword by Alfred Seeger |
| Autore | Slavianov, Sergei Yu. |
| Pubbl/distr/stampa | Oxford : Oxford University Press, 2000 |
| Descrizione fisica | xvi, 293 p. : ill. ; 25 cm |
| Disciplina | 515.5 |
| Altri autori (Persone) |
Lay, Wolfgangauthor
Seeger, Alfred |
| Collana | Oxford mathematical monographs |
| Soggetto topico | Special functions |
| ISBN | 0198505736 |
| Classificazione |
AMS 33-01
AMS 33C AMS 34B30 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003697609707536 |
Slavianov, Sergei Yu.
|
||
| Oxford : Oxford University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme
| Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme |
| Autore | Temme N. M |
| Pubbl/distr/stampa | New York, : Wiley, 1996 |
| Descrizione fisica | 1 online resource (392 p.) |
| Disciplina |
515.5
530.15 |
| Soggetto topico |
Functions, Special
Boundary value problems Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-76794-4
9786613678713 1-118-03257-8 1-118-03081-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Special Functions: An Introduction to the Classical Functions of Mathematical Physics; Contents; 1 Bernoulli, Euler and Stirling Numbers; 1.1. Bernoulli Numbers and Polynomials; 1.1.1. Definitions and Properties; 1.1.2. A Simple Difference Equation; 1.1.3. Euler's Summation Formula; 1.2. Euler Numbers and Polynomials; 1.2.1. Definitions and Properties; 1.2.2. Boole's Summation Formula; 1.3. Stirling Numbers; 1.4. Remarks and Comments for Further Reading; 1.5. Exercises and Further Examples; 2 Useful Methods and Techniques; 2.1. Some Theorems from Analysis
2.2. Asymptotic Expansions of Integrals2.2.1. Watson's Lemma; 2.2.2. The Saddle Point Method; 2.2.3. Other Asymptotic Methods; 2.3. Exercises and Further Examples; 3 The Gamma Function; 3.1. Introduction; 3.1.1. The Fundamental Recursion Property; 3.1.2. Another Look at the Gamma Function; 3.2. Important Properties; 3.2.1. Prym's Decomposition; 3.2.2. The Cauchy-Saalschütz Representation; 3.2.3. The Beta Integral; 3.2.4. The Multiplication Formula; 3.2.5. The Reflection Formula; 3.2.6. The Reciprocal Gamma Function; 3.2.7. A Complex Contour for the Beta Integral; 3.3. Infinite Products 3.3.1. Gauss' Multiplication Formula3.4. Logarithmic Derivative of the Gamma Function; 3.5. Riemann's Zeta Function; 3.6. Asymptotic Expansions; 3.6.1. Estimations of the Remainder; 3.6.2. Ratio of Two Gamma Functions; 3.6.3. Application of the Saddle Point Method; 3.7. Remarks and Comments for Further Reading; 3.8. Exercises and Further Examples; 4 Differential Equations; 4.1. Separating the Wave Equation; 4.1.1. Separating the Variables; 4.2. Differential Equations in the Complex Plane; 4.2.1. Singular Points; 4.2.2. Transformation of the Point at Infinity 4.2.3. The Solution Near a Regular Point4.2.4. Power Series Expansions Around a Regular Point; 4.2.5. Power Series Expansions Around a Regular Singular Point; 4.3. Sturm's Comparison Theorem; 4.4. Integrals as Solutions of Differential Equations; 4.5. The Liouville Transformation; 4.6. Remarks and Comments for Further Reading; 4.7. Exercises and Further Examples; 5 Hypergeometric Functions; 5.1. Definitions and Simple Relations; 5.2. Analytic Continuation; 5.2.1. Three Functional Relations; 5.2.2. A Contour Integral Representation; 5.3. The Hypergeometric Differential Equation 5.4. The Singular Points of the Differential Equation5.5. The Riemann-Papperitz Equation; 5.6. Barnes' Contour Integral for F(a, b; c; z); 5.7. Recurrence Relations; 5.8. Quadratic Transformations; 5.9. Generalized Hypergeometric Functions; 5.9.1. A First Introduction to q-functions; 5.10. Remarks and Comments for Further Reading; 5.11. Exercises and Further Examples; 6 Orthogonal Polynomials; 6.1. General Orthogonal Polynomials; 6.1.1. Zeros of Orthogonal Polynomials; 6.1.2. Gauss Quadrature; 6.2. Classical Orthogonal Polynomials; 6.3. Definitions by the Rodrigues Formula 6.4. Recurrence Relations |
| Record Nr. | UNISA-996203517603316 |
|
Temme N. M
|
||
| New York, : Wiley, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Special functions : an introduction to the classical functions of mathematical physics / Nico M. Temme
| Special functions : an introduction to the classical functions of mathematical physics / Nico M. Temme |
| Autore | TEMME, Nico M. |
| Pubbl/distr/stampa | New York, : Wiley, 1996 |
| Descrizione fisica | Testo elettronico (PDF) (XII, 374 p..) |
| Disciplina | 515.5 |
| Soggetto topico | Fisica matematica |
| ISBN | 9781118032572 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996454747703316 |
|
TEMME, Nico M.
|
||
| New York, : Wiley, 1996 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme
| Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme |
| Autore | Temme N. M |
| Pubbl/distr/stampa | New York, : Wiley, 1996 |
| Descrizione fisica | 1 online resource (392 p.) |
| Disciplina |
515.5
530.15 |
| Soggetto topico |
Functions, Special
Boundary value problems Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-76794-4
9786613678713 1-118-03257-8 1-118-03081-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Special Functions: An Introduction to the Classical Functions of Mathematical Physics; Contents; 1 Bernoulli, Euler and Stirling Numbers; 1.1. Bernoulli Numbers and Polynomials; 1.1.1. Definitions and Properties; 1.1.2. A Simple Difference Equation; 1.1.3. Euler's Summation Formula; 1.2. Euler Numbers and Polynomials; 1.2.1. Definitions and Properties; 1.2.2. Boole's Summation Formula; 1.3. Stirling Numbers; 1.4. Remarks and Comments for Further Reading; 1.5. Exercises and Further Examples; 2 Useful Methods and Techniques; 2.1. Some Theorems from Analysis
2.2. Asymptotic Expansions of Integrals2.2.1. Watson's Lemma; 2.2.2. The Saddle Point Method; 2.2.3. Other Asymptotic Methods; 2.3. Exercises and Further Examples; 3 The Gamma Function; 3.1. Introduction; 3.1.1. The Fundamental Recursion Property; 3.1.2. Another Look at the Gamma Function; 3.2. Important Properties; 3.2.1. Prym's Decomposition; 3.2.2. The Cauchy-Saalschütz Representation; 3.2.3. The Beta Integral; 3.2.4. The Multiplication Formula; 3.2.5. The Reflection Formula; 3.2.6. The Reciprocal Gamma Function; 3.2.7. A Complex Contour for the Beta Integral; 3.3. Infinite Products 3.3.1. Gauss' Multiplication Formula3.4. Logarithmic Derivative of the Gamma Function; 3.5. Riemann's Zeta Function; 3.6. Asymptotic Expansions; 3.6.1. Estimations of the Remainder; 3.6.2. Ratio of Two Gamma Functions; 3.6.3. Application of the Saddle Point Method; 3.7. Remarks and Comments for Further Reading; 3.8. Exercises and Further Examples; 4 Differential Equations; 4.1. Separating the Wave Equation; 4.1.1. Separating the Variables; 4.2. Differential Equations in the Complex Plane; 4.2.1. Singular Points; 4.2.2. Transformation of the Point at Infinity 4.2.3. The Solution Near a Regular Point4.2.4. Power Series Expansions Around a Regular Point; 4.2.5. Power Series Expansions Around a Regular Singular Point; 4.3. Sturm's Comparison Theorem; 4.4. Integrals as Solutions of Differential Equations; 4.5. The Liouville Transformation; 4.6. Remarks and Comments for Further Reading; 4.7. Exercises and Further Examples; 5 Hypergeometric Functions; 5.1. Definitions and Simple Relations; 5.2. Analytic Continuation; 5.2.1. Three Functional Relations; 5.2.2. A Contour Integral Representation; 5.3. The Hypergeometric Differential Equation 5.4. The Singular Points of the Differential Equation5.5. The Riemann-Papperitz Equation; 5.6. Barnes' Contour Integral for F(a, b; c; z); 5.7. Recurrence Relations; 5.8. Quadratic Transformations; 5.9. Generalized Hypergeometric Functions; 5.9.1. A First Introduction to q-functions; 5.10. Remarks and Comments for Further Reading; 5.11. Exercises and Further Examples; 6 Orthogonal Polynomials; 6.1. General Orthogonal Polynomials; 6.1.1. Zeros of Orthogonal Polynomials; 6.1.2. Gauss Quadrature; 6.2. Classical Orthogonal Polynomials; 6.3. Definitions by the Rodrigues Formula 6.4. Recurrence Relations |
| Record Nr. | UNINA-9910139642203321 |
|
Temme N. M
|
||
| New York, : Wiley, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme
| Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme |
| Autore | Temme N. M |
| Pubbl/distr/stampa | New York, : Wiley, 1996 |
| Descrizione fisica | 1 online resource (392 p.) |
| Disciplina |
515.5
530.15 |
| Soggetto topico |
Functions, Special
Boundary value problems Mathematical physics |
| ISBN |
1-280-76794-4
9786613678713 1-118-03257-8 1-118-03081-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Special Functions: An Introduction to the Classical Functions of Mathematical Physics; Contents; 1 Bernoulli, Euler and Stirling Numbers; 1.1. Bernoulli Numbers and Polynomials; 1.1.1. Definitions and Properties; 1.1.2. A Simple Difference Equation; 1.1.3. Euler's Summation Formula; 1.2. Euler Numbers and Polynomials; 1.2.1. Definitions and Properties; 1.2.2. Boole's Summation Formula; 1.3. Stirling Numbers; 1.4. Remarks and Comments for Further Reading; 1.5. Exercises and Further Examples; 2 Useful Methods and Techniques; 2.1. Some Theorems from Analysis
2.2. Asymptotic Expansions of Integrals2.2.1. Watson's Lemma; 2.2.2. The Saddle Point Method; 2.2.3. Other Asymptotic Methods; 2.3. Exercises and Further Examples; 3 The Gamma Function; 3.1. Introduction; 3.1.1. The Fundamental Recursion Property; 3.1.2. Another Look at the Gamma Function; 3.2. Important Properties; 3.2.1. Prym's Decomposition; 3.2.2. The Cauchy-Saalschütz Representation; 3.2.3. The Beta Integral; 3.2.4. The Multiplication Formula; 3.2.5. The Reflection Formula; 3.2.6. The Reciprocal Gamma Function; 3.2.7. A Complex Contour for the Beta Integral; 3.3. Infinite Products 3.3.1. Gauss' Multiplication Formula3.4. Logarithmic Derivative of the Gamma Function; 3.5. Riemann's Zeta Function; 3.6. Asymptotic Expansions; 3.6.1. Estimations of the Remainder; 3.6.2. Ratio of Two Gamma Functions; 3.6.3. Application of the Saddle Point Method; 3.7. Remarks and Comments for Further Reading; 3.8. Exercises and Further Examples; 4 Differential Equations; 4.1. Separating the Wave Equation; 4.1.1. Separating the Variables; 4.2. Differential Equations in the Complex Plane; 4.2.1. Singular Points; 4.2.2. Transformation of the Point at Infinity 4.2.3. The Solution Near a Regular Point4.2.4. Power Series Expansions Around a Regular Point; 4.2.5. Power Series Expansions Around a Regular Singular Point; 4.3. Sturm's Comparison Theorem; 4.4. Integrals as Solutions of Differential Equations; 4.5. The Liouville Transformation; 4.6. Remarks and Comments for Further Reading; 4.7. Exercises and Further Examples; 5 Hypergeometric Functions; 5.1. Definitions and Simple Relations; 5.2. Analytic Continuation; 5.2.1. Three Functional Relations; 5.2.2. A Contour Integral Representation; 5.3. The Hypergeometric Differential Equation 5.4. The Singular Points of the Differential Equation5.5. The Riemann-Papperitz Equation; 5.6. Barnes' Contour Integral for F(a, b; c; z); 5.7. Recurrence Relations; 5.8. Quadratic Transformations; 5.9. Generalized Hypergeometric Functions; 5.9.1. A First Introduction to q-functions; 5.10. Remarks and Comments for Further Reading; 5.11. Exercises and Further Examples; 6 Orthogonal Polynomials; 6.1. General Orthogonal Polynomials; 6.1.1. Zeros of Orthogonal Polynomials; 6.1.2. Gauss Quadrature; 6.2. Classical Orthogonal Polynomials; 6.3. Definitions by the Rodrigues Formula 6.4. Recurrence Relations |
| Record Nr. | UNINA-9910831057203321 |
|
Temme N. M
|
||
| New York, : Wiley, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme
| Special functions [[electronic resource] ] : an introduction to the classical functions of mathematical physics / / Nico M. Temme |
| Autore | Temme N. M |
| Pubbl/distr/stampa | New York, : Wiley, 1996 |
| Descrizione fisica | 1 online resource (392 p.) |
| Disciplina |
515.5
530.15 |
| Soggetto topico |
Functions, Special
Boundary value problems Mathematical physics |
| ISBN |
1-280-76794-4
9786613678713 1-118-03257-8 1-118-03081-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Special Functions: An Introduction to the Classical Functions of Mathematical Physics; Contents; 1 Bernoulli, Euler and Stirling Numbers; 1.1. Bernoulli Numbers and Polynomials; 1.1.1. Definitions and Properties; 1.1.2. A Simple Difference Equation; 1.1.3. Euler's Summation Formula; 1.2. Euler Numbers and Polynomials; 1.2.1. Definitions and Properties; 1.2.2. Boole's Summation Formula; 1.3. Stirling Numbers; 1.4. Remarks and Comments for Further Reading; 1.5. Exercises and Further Examples; 2 Useful Methods and Techniques; 2.1. Some Theorems from Analysis
2.2. Asymptotic Expansions of Integrals2.2.1. Watson's Lemma; 2.2.2. The Saddle Point Method; 2.2.3. Other Asymptotic Methods; 2.3. Exercises and Further Examples; 3 The Gamma Function; 3.1. Introduction; 3.1.1. The Fundamental Recursion Property; 3.1.2. Another Look at the Gamma Function; 3.2. Important Properties; 3.2.1. Prym's Decomposition; 3.2.2. The Cauchy-Saalschütz Representation; 3.2.3. The Beta Integral; 3.2.4. The Multiplication Formula; 3.2.5. The Reflection Formula; 3.2.6. The Reciprocal Gamma Function; 3.2.7. A Complex Contour for the Beta Integral; 3.3. Infinite Products 3.3.1. Gauss' Multiplication Formula3.4. Logarithmic Derivative of the Gamma Function; 3.5. Riemann's Zeta Function; 3.6. Asymptotic Expansions; 3.6.1. Estimations of the Remainder; 3.6.2. Ratio of Two Gamma Functions; 3.6.3. Application of the Saddle Point Method; 3.7. Remarks and Comments for Further Reading; 3.8. Exercises and Further Examples; 4 Differential Equations; 4.1. Separating the Wave Equation; 4.1.1. Separating the Variables; 4.2. Differential Equations in the Complex Plane; 4.2.1. Singular Points; 4.2.2. Transformation of the Point at Infinity 4.2.3. The Solution Near a Regular Point4.2.4. Power Series Expansions Around a Regular Point; 4.2.5. Power Series Expansions Around a Regular Singular Point; 4.3. Sturm's Comparison Theorem; 4.4. Integrals as Solutions of Differential Equations; 4.5. The Liouville Transformation; 4.6. Remarks and Comments for Further Reading; 4.7. Exercises and Further Examples; 5 Hypergeometric Functions; 5.1. Definitions and Simple Relations; 5.2. Analytic Continuation; 5.2.1. Three Functional Relations; 5.2.2. A Contour Integral Representation; 5.3. The Hypergeometric Differential Equation 5.4. The Singular Points of the Differential Equation5.5. The Riemann-Papperitz Equation; 5.6. Barnes' Contour Integral for F(a, b; c; z); 5.7. Recurrence Relations; 5.8. Quadratic Transformations; 5.9. Generalized Hypergeometric Functions; 5.9.1. A First Introduction to q-functions; 5.10. Remarks and Comments for Further Reading; 5.11. Exercises and Further Examples; 6 Orthogonal Polynomials; 6.1. General Orthogonal Polynomials; 6.1.1. Zeros of Orthogonal Polynomials; 6.1.2. Gauss Quadrature; 6.2. Classical Orthogonal Polynomials; 6.3. Definitions by the Rodrigues Formula 6.4. Recurrence Relations |
| Record Nr. | UNINA-9910841474403321 |
|
Temme N. M
|
||
| New York, : Wiley, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special functions / Z. X. Wang, D. R.Guo ; Translated by D. R. Guo, X. J. Xia
| Special functions / Z. X. Wang, D. R.Guo ; Translated by D. R. Guo, X. J. Xia |
| Autore | Wang, Z. X. |
| Pubbl/distr/stampa | Singapore : World Scientific, 1989 |
| Descrizione fisica | XVI, 695 p. ; 22 cm |
| Disciplina | 515.5 |
| Altri autori (Persone) | Guo, D. R. |
| Soggetto non controllato | Funzioni speciali |
| ISBN |
978-9971-50-659-9
9971-50-659-9 9971-50-667-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990009192300403321 |
|
Wang, Z. X.
|
||
| Singapore : World Scientific, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special functions / Z. X. Wang, D. R. Guo ; translated by D. R. Guo, X. J. Xia
| Special functions / Z. X. Wang, D. R. Guo ; translated by D. R. Guo, X. J. Xia |
| Autore | Wang, Z. X. |
| Pubbl/distr/stampa | Singapore ; New Jersey : World Scientific, c1989 |
| Descrizione fisica | xvi, 695 p. ; 23 cm |
| Disciplina | 515.5 |
| Altri autori (Persone) | Guo, D. R. |
| Soggetto topico | Functions |
| ISBN |
9789971506674
9789971506599 |
| Classificazione |
AMS 33-02
LC QA331.W296 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001713429707536 |
|
Wang, Z. X.
|
||
| Singapore ; New Jersey : World Scientific, c1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Special functions 2000 : current perspective and future directions / edited by Joaquin Bustoz, Mourad E. H. Ismail, and Sergei K. Suslov
| Special functions 2000 : current perspective and future directions / edited by Joaquin Bustoz, Mourad E. H. Ismail, and Sergei K. Suslov |
| Pubbl/distr/stampa | Dordrecht ; Boston ; London : Kluwer Academic Publishers, c2001 |
| Descrizione fisica | xi, 520 p. : ill. ; 25 cm |
| Disciplina | 515.5 |
| Altri autori (Persone) |
Bustoz, Joaquin
Ismail, Mourad Suslov, Sergei Konstantinovich |
| Altri autori (Convegni) | NATO Advanced Study Institute on special functions 2000 : current perspective and future directions <2000 ; Tempe, Ariz.> |
| Collana | NATO science series. Series II : Mathematics, physics, and chemistry ; 30 |
| Soggetto topico | Functions, Special - Congresses |
| ISBN | 0792371208 |
| Classificazione |
AMS 33-06
LC QA351.S694 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000478199707536 |
| Dordrecht ; Boston ; London : Kluwer Academic Publishers, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Special functions and orthogonal polynomials : AMS special session on special functions and orthogonal polynomials, April 21-22, 2007 Tucson, Arizona / Diego Dominici, Robert S. Maier editors
| Special functions and orthogonal polynomials : AMS special session on special functions and orthogonal polynomials, April 21-22, 2007 Tucson, Arizona / Diego Dominici, Robert S. Maier editors |
| Pubbl/distr/stampa | Providence : American Mathematical Society, c2008 |
| Descrizione fisica | V, 218 p. ; 26 cm |
| Disciplina | 515.5 |
| Collana | Contemporary mathematics |
| Soggetto non controllato |
Funzioni speciali - Analisi di Fourier
Atti di conferenze di interesse specifico vario |
| ISBN | 978-0-8218-4650-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990009133470403321 |
| Providence : American Mathematical Society, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
