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Exposition by Emil Artin : a selection / / Michael Rosen, editor
| Exposition by Emil Artin : a selection / / Michael Rosen, editor |
| Autore | Artin Emil <1898-1962.> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (348 pages) : illustrations |
| Disciplina | 510 |
| Collana | History of Mathematics |
| Soggetto topico |
Algebraic fields
Galois theory Gamma functions |
| ISBN | 1-4704-3897-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794720003321 |
Artin Emil <1898-1962.>
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| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Exposition by Emil Artin : a selection / / Michael Rosen, editor
| Exposition by Emil Artin : a selection / / Michael Rosen, editor |
| Autore | Artin Emil <1898-1962.> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (348 pages) : illustrations |
| Disciplina | 510 |
| Collana | History of Mathematics |
| Soggetto topico |
Algebraic fields
Galois theory Gamma functions |
| ISBN | 1-4704-3897-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910820838203321 |
|
Artin Emil <1898-1962.>
|
||
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Exposition by Emil Artin : a selection / / Michael Rosen, editor
| Exposition by Emil Artin : a selection / / Michael Rosen, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (348 pages) : illustrations |
| Disciplina | 510 |
| Collana | History of Mathematics |
| Soggetto topico |
Algebraic fields
Galois theory Gamma functions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3897-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910478908603321 |
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A generalization of Bohr-Mollerup's theorem for higher order convex functions / / Jean-Luc Marichal, Naïm Zenaïdi
| A generalization of Bohr-Mollerup's theorem for higher order convex functions / / Jean-Luc Marichal, Naïm Zenaïdi |
| Autore | Marichal Jean-Luc |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2022 |
| Descrizione fisica | 1 online resource (xviii, 323 pages) |
| Altri autori (Persone) | ZenaïdiNaïm |
| Collana | Developments in mathematics |
| Soggetto topico |
Convex functions
Gamma functions |
| Soggetto non controllato |
Difference Equation
Higher Order Convexity Bohr-Mollerup's Theorem Principal Indefinite Sums Gauss' Limit Euler Product Form Raabe's Formula Binet's Function Stirling's Formula Euler's Infinite Product Euler's Reflection Formula Weierstrass' Infinite Product Gauss Multiplication Formula Euler's Constant Gamma Function Polygamma Functions Hurwitz Zeta Function Generalized Stieltjes Constants |
| ISBN | 3-030-95088-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface List of main symbols Table of contents Chapter 1. Introduction Chapter 2. Preliminaries Chapter 3. Uniqueness and existence results Chapter 4. Interpretations of the asymptotic conditions Chapter 5. Multiple log-gamma type functions Chapter 6. Asymptotic analysis Chapter 7. Derivatives of multiple log-gamma type functions Chapter 8. Further results Chapter 9. Summary of the main results Chapter 10. Applications to some standard special functions Chapter 11. Defining new log-gamma type functions Chapter 12. Further examples Chapter 13. Conclusion A. Higher order convexity properties B. On Krull-Webster's asymptotic condition C. On a question raised by Webster D. Asymptotic behaviors and bracketing E. Generalized Webster's inequality F. On the differentiability of \sigma_g Bibliography Analogues of properties of the gamma function Index |
| Record Nr. | UNINA-9910583594703321 |
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Marichal Jean-Luc
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| Cham, : Springer Nature, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A generalization of Bohr-Mollerup's theorem for higher order convex functions / / Jean-Luc Marichal, Naïm Zenaïdi
| A generalization of Bohr-Mollerup's theorem for higher order convex functions / / Jean-Luc Marichal, Naïm Zenaïdi |
| Autore | Marichal Jean-Luc |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2022 |
| Descrizione fisica | 1 online resource (xviii, 323 pages) |
| Altri autori (Persone) | ZenaïdiNaïm |
| Collana | Developments in mathematics |
| Soggetto topico |
Convex functions
Gamma functions |
| Soggetto non controllato |
Difference Equation
Higher Order Convexity Bohr-Mollerup's Theorem Principal Indefinite Sums Gauss' Limit Euler Product Form Raabe's Formula Binet's Function Stirling's Formula Euler's Infinite Product Euler's Reflection Formula Weierstrass' Infinite Product Gauss Multiplication Formula Euler's Constant Gamma Function Polygamma Functions Hurwitz Zeta Function Generalized Stieltjes Constants |
| ISBN | 3-030-95088-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface List of main symbols Table of contents Chapter 1. Introduction Chapter 2. Preliminaries Chapter 3. Uniqueness and existence results Chapter 4. Interpretations of the asymptotic conditions Chapter 5. Multiple log-gamma type functions Chapter 6. Asymptotic analysis Chapter 7. Derivatives of multiple log-gamma type functions Chapter 8. Further results Chapter 9. Summary of the main results Chapter 10. Applications to some standard special functions Chapter 11. Defining new log-gamma type functions Chapter 12. Further examples Chapter 13. Conclusion A. Higher order convexity properties B. On Krull-Webster's asymptotic condition C. On a question raised by Webster D. Asymptotic behaviors and bracketing E. Generalized Webster's inequality F. On the differentiability of \sigma_g Bibliography Analogues of properties of the gamma function Index |
| Record Nr. | UNISA-996483153603316 |
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Marichal Jean-Luc
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| Cham, : Springer Nature, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Rankin-Selberg convolutions for SO2l+1 x GLn : local theory / / David Soudry
| Rankin-Selberg convolutions for SO2l+1 x GLn : local theory / / David Soudry |
| Autore | Soudry David <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 511.3/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convolutions (Mathematics)
Gamma functions L-functions Functional equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0077-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction and Preliminaries""; ""1. The Integrals to be Studied""; ""2. Estimates for Whittaker Functions on G[sub(l)](Nonarchimedean Case)""; ""3. Estimates for Whittaker Functions on G[sub(l)] (Archimedean Case)""; ""4. Convergence of the Integrals (Nonarchimedean Case)""; ""5. Convergence of the Integrals (Archimedean Case)""; ""6. A(W,Î?[sub(r,s)]) Can Be Made Constant (Nonarchimedean Case)""; ""7. An Analog in the Archimedean Case""; ""8. Uniqueness Theorems""; ""9. Application of the Intertwining Operator""; ""10. Definition of Local Factors"" |
| Record Nr. | UNINA-9910480690403321 |
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Soudry David <1956->
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| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rankin-Selberg convolutions for SO2l+1 x GLn : local theory / / David Soudry
| Rankin-Selberg convolutions for SO2l+1 x GLn : local theory / / David Soudry |
| Autore | Soudry David <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 511.3/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convolutions (Mathematics)
Gamma functions L-functions Functional equations |
| ISBN | 1-4704-0077-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction and Preliminaries""; ""1. The Integrals to be Studied""; ""2. Estimates for Whittaker Functions on G[sub(l)](Nonarchimedean Case)""; ""3. Estimates for Whittaker Functions on G[sub(l)] (Archimedean Case)""; ""4. Convergence of the Integrals (Nonarchimedean Case)""; ""5. Convergence of the Integrals (Archimedean Case)""; ""6. A(W,Î?[sub(r,s)]) Can Be Made Constant (Nonarchimedean Case)""; ""7. An Analog in the Archimedean Case""; ""8. Uniqueness Theorems""; ""9. Application of the Intertwining Operator""; ""10. Definition of Local Factors"" |
| Record Nr. | UNINA-9910788752303321 |
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Soudry David <1956->
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| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rankin-Selberg convolutions for SO2l+1 x GLn : local theory / / David Soudry
| Rankin-Selberg convolutions for SO2l+1 x GLn : local theory / / David Soudry |
| Autore | Soudry David <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 511.3/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convolutions (Mathematics)
Gamma functions L-functions Functional equations |
| ISBN | 1-4704-0077-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction and Preliminaries""; ""1. The Integrals to be Studied""; ""2. Estimates for Whittaker Functions on G[sub(l)](Nonarchimedean Case)""; ""3. Estimates for Whittaker Functions on G[sub(l)] (Archimedean Case)""; ""4. Convergence of the Integrals (Nonarchimedean Case)""; ""5. Convergence of the Integrals (Archimedean Case)""; ""6. A(W,Î?[sub(r,s)]) Can Be Made Constant (Nonarchimedean Case)""; ""7. An Analog in the Archimedean Case""; ""8. Uniqueness Theorems""; ""9. Application of the Intertwining Operator""; ""10. Definition of Local Factors"" |
| Record Nr. | UNINA-9910818932603321 |
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Soudry David <1956->
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| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special functions and their application / / Bipin Singh Koranga, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal
| Special functions and their application / / Bipin Singh Koranga, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal |
| Autore | Koranga Bipin Singh |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Gistrup, Denmark ; ; London ; ; New York, New York : , : River Publishers : , : Routledge, , [2021] |
| Descrizione fisica | 1 online resource (124 pages) |
| Disciplina | 515.5 |
| Collana | River Publishers series in mathematical and engineering sciences |
| Soggetto topico |
Functions, Special
Functional analysis Gamma functions |
| ISBN |
1-00-333959-X
1-003-33959-X 1-000-79559-4 87-7022-625-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover -- Special Functions and their Applications -- Contents -- Preface -- List of Tables -- 1 The Gamma Function -- 1.1 Definition of Gamma Function -- 1.2 Gamma Function and Some Relations -- 1.3 The Logarithmic Derivative of the Gamma Function -- 1.4 Asymptotic Representation of the Gamma Function for Large |z| -- 1.5 Definite Integrals Related to the Gamma Function -- 1.6 Exercises -- 2 The Probability Integral and Related Functions -- 2.1 The Probability Integral and its Basic Properties -- 2.2 Asymptotic Representation of Probability Integral for Large |z| -- 2.3 The Probability Integral of Imaginary Argument -- 2.4 The Probability Fresnel Integrals -- 2.5 Application to Probability Theory -- 2.6 Application to the Theory of Heat Conduction -- 2.7 Application to the Theory of Vibrations -- 2.8 Exercises -- 3 Spherical Harmonics Theory -- 3.1 Introduction -- 3.2 The Hypergeometric Equation and its Series Solution -- 3.3 Legendre Functions -- 3.4 Integral Representations of the Legendre Functions -- 3.5 Some Relations Satisfied by the Legendre Functions -- 3.6 Workskian of Pairs of Solutions of Legendre's Equation -- 3.7 Recurrence Relations for the Legendre Functions -- 3.8 Associated Legendre Functions -- 3.9 Exercises -- 4 Bessel Function -- 4.1 Bessel Functions -- 4.2 Generating Function -- 4.3 Recurrence Relations -- 4.4 Orthonormality -- 4.5 Application to the Optical Fiber -- 4.6 Exercises -- 5 Hermite Polynomials -- 5.1 Hermite Functions -- 5.2 Generating Function -- 5.3 Recurrence Relations -- 5.4 Rodrigues Formula -- 5.5 Orthogonality and Normalilty -- 5.6 Application to the Simple Harmonic Oscillator -- 5.7 Exercises -- 6 Laguerre Polynomials -- 6.1 Laguerre Functions -- 6.2 Generating Function -- 6.3 Recurrence Relations -- 6.4 Rodrigues Formula -- 6.5 Orthonormality -- 6.6 Application to the Hydrogen Atom.
6.7 Associated Laguerre Polynomials -- 6.7.1 Properties of Associated Laguerre Polynomials -- 6.8 Exercises -- Bibliography -- Index -- About the Authors -- Back Cover. |
| Record Nr. | UNINA-9910794620603321 |
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Koranga Bipin Singh
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| Gistrup, Denmark ; ; London ; ; New York, New York : , : River Publishers : , : Routledge, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special functions and their application / / Bipin Singh Koranga, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal
| Special functions and their application / / Bipin Singh Koranga, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal |
| Autore | Koranga Bipin Singh |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Gistrup, Denmark ; ; London ; ; New York, New York : , : River Publishers : , : Routledge, , [2021] |
| Descrizione fisica | 1 online resource (124 pages) |
| Disciplina | 515.5 |
| Collana | River Publishers series in mathematical and engineering sciences |
| Soggetto topico |
Functions, Special
Functional analysis Gamma functions |
| ISBN |
1-00-333959-X
1-003-33959-X 1-000-79559-4 87-7022-625-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover -- Special Functions and their Applications -- Contents -- Preface -- List of Tables -- 1 The Gamma Function -- 1.1 Definition of Gamma Function -- 1.2 Gamma Function and Some Relations -- 1.3 The Logarithmic Derivative of the Gamma Function -- 1.4 Asymptotic Representation of the Gamma Function for Large |z| -- 1.5 Definite Integrals Related to the Gamma Function -- 1.6 Exercises -- 2 The Probability Integral and Related Functions -- 2.1 The Probability Integral and its Basic Properties -- 2.2 Asymptotic Representation of Probability Integral for Large |z| -- 2.3 The Probability Integral of Imaginary Argument -- 2.4 The Probability Fresnel Integrals -- 2.5 Application to Probability Theory -- 2.6 Application to the Theory of Heat Conduction -- 2.7 Application to the Theory of Vibrations -- 2.8 Exercises -- 3 Spherical Harmonics Theory -- 3.1 Introduction -- 3.2 The Hypergeometric Equation and its Series Solution -- 3.3 Legendre Functions -- 3.4 Integral Representations of the Legendre Functions -- 3.5 Some Relations Satisfied by the Legendre Functions -- 3.6 Workskian of Pairs of Solutions of Legendre's Equation -- 3.7 Recurrence Relations for the Legendre Functions -- 3.8 Associated Legendre Functions -- 3.9 Exercises -- 4 Bessel Function -- 4.1 Bessel Functions -- 4.2 Generating Function -- 4.3 Recurrence Relations -- 4.4 Orthonormality -- 4.5 Application to the Optical Fiber -- 4.6 Exercises -- 5 Hermite Polynomials -- 5.1 Hermite Functions -- 5.2 Generating Function -- 5.3 Recurrence Relations -- 5.4 Rodrigues Formula -- 5.5 Orthogonality and Normalilty -- 5.6 Application to the Simple Harmonic Oscillator -- 5.7 Exercises -- 6 Laguerre Polynomials -- 6.1 Laguerre Functions -- 6.2 Generating Function -- 6.3 Recurrence Relations -- 6.4 Rodrigues Formula -- 6.5 Orthonormality -- 6.6 Application to the Hydrogen Atom.
6.7 Associated Laguerre Polynomials -- 6.7.1 Properties of Associated Laguerre Polynomials -- 6.8 Exercises -- Bibliography -- Index -- About the Authors -- Back Cover. |
| Record Nr. | UNINA-9910827482503321 |
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Koranga Bipin Singh
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| Gistrup, Denmark ; ; London ; ; New York, New York : , : River Publishers : , : Routledge, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
