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Hypergeometric summation : an algorithmic approach to summation and special function identities / Wolfram Koepf
| Hypergeometric summation : an algorithmic approach to summation and special function identities / Wolfram Koepf |
| Autore | Koepf, Wolfram |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | London, : Springer, 2014 |
| Descrizione fisica | XVII, 279 p. ; 24 cm |
| Soggetto topico |
33F10 - Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) [MSC 2020]
68W30 - Symbolic computation and algebraic computation [MSC 2020] 33C45 - Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [MSC 2020] 05A19 - Combinatorial identities, bijective combinatorics [MSC 2020] 13P05 - Computational aspects and applications of commutative rings [MSC 2020] 33D15 - Basic hypergeometric functions in one variable, ${}_r\phi_s$ [MSC 2020] 33C20 - Generalized hypergeometric series, ${}_pF_q$ [MSC 2020] 33D45 - Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) [MSC 2020] 05A30 - $q$-calculus and related topics [MSC 2020] 11B65 - Binomial coefficients; factorials; $q$-identities [MSC 2020] |
| Soggetto non controllato |
Algorithmic Summation
Antidifference Basic Hypergeometric Series Combinatorics Differential Equation Fasenmyer Algorithm Generating Function Gosper Algorithm Hypergeometric series Non-commutative Factorization Operator Equation Ordinary differential equations Petkovsek Algorithm Recurrence Equation Rodrigues Formulas Van Hoeij Algorithm Zeilberger Algorithm |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0102576 |
Koepf, Wolfram
|
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| London, : Springer, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Hypergeometric summation : an algorithmic approach to summation and special function identities / Wolfram Koepf
| Hypergeometric summation : an algorithmic approach to summation and special function identities / Wolfram Koepf |
| Autore | Koepf, Wolfram |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | London, : Springer, 2014 |
| Descrizione fisica | XVII, 279 p. ; 24 cm |
| Soggetto topico |
05A19 - Combinatorial identities, bijective combinatorics [MSC 2020]
05A30 - $q$-calculus and related topics [MSC 2020] 11B65 - Binomial coefficients; factorials; $q$-identities [MSC 2020] 13P05 - Computational aspects and applications of commutative rings [MSC 2020] 33C20 - Generalized hypergeometric series, ${}_pF_q$ [MSC 2020] 33C45 - Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [MSC 2020] 33D15 - Basic hypergeometric functions in one variable, ${}_r\phi_s$ [MSC 2020] 33D45 - Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) [MSC 2020] 33F10 - Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) [MSC 2020] 68W30 - Symbolic computation and algebraic computation [MSC 2020] |
| Soggetto non controllato |
Algorithmic Summation
Antidifference Basic Hypergeometric Series Combinatorics Differential equations Fasenmyer Algorithm Generating Function Gosper Algorithm Hypergeometric series Non-commutative Factorization Operator Equation Ordinary Differential Equations Petkovsek Algorithm Recurrence Equation Rodrigues Formulas Van Hoeij Algorithm Zeilberger Algorithm |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00102576 |
|
Koepf, Wolfram
|
||
| London, : Springer, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Iterative methods for ill-posed problems [[electronic resource] ] : an introduction / / Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Alexandra Smirnova
| Iterative methods for ill-posed problems [[electronic resource] ] : an introduction / / Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Alexandra Smirnova |
| Autore | Bakushinskiĭ A. B (Anatoliĭ Borisovich) |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2011 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) |
KokurinM. I͡U (Mikhail I͡Urʹevich)
SmirnovaA. B (Aleksandra Borisovna) |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Differential equations, Partial - Improperly posed problems
Iterative methods (Mathematics) |
| Soggetto non controllato |
Hilbert Space
Ill-posed Problem Inverse Problem Iterative Method Operator Equation |
| ISBN |
1-283-16637-2
9786613166371 3-11-025065-9 |
| Classificazione | 510 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 The regularity condition. Newton's method -- 2 The Gauss-Newton method -- 3 The gradient method -- 4 Tikhonov's scheme -- 5 Tikhonov's scheme for linear equations -- 6 The gradient scheme for linear equations -- 7 Convergence rates for the approximation methods in the case of linear irregular equations -- 8 Equations with a convex discrepancy functional by Tikhonov's method -- 9 Iterative regularization principle -- 10 The iteratively regularized Gauss-Newton method -- 11 The stable gradient method for irregular nonlinear equations -- 12 Relative computational efficiency of iteratively regularized methods -- 13 Numerical investigation of two-dimensional inverse gravimetry problem -- 14 Iteratively regularized methods for inverse problem in optical tomography -- 15 Feigenbaum's universality equation -- 16 Conclusion -- References -- Index |
| Record Nr. | UNINA-9910781355703321 |
|
Bakushinskiĭ A. B (Anatoliĭ Borisovich)
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| Berlin ; ; New York, : De Gruyter, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theory of reproducing Kernels and applications / Saburou Saitoh, Yoshihiro Sawano
| Theory of reproducing Kernels and applications / Saburou Saitoh, Yoshihiro Sawano |
| Autore | Saitoh, Saburou |
| Pubbl/distr/stampa | [Singapore], : Springer, 2016 |
| Descrizione fisica | XVIII, 452 p. : ill. ; 24 cm |
| Altri autori (Persone) | Sawano, Yoshihiro |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46E22 - Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [MSC 2020] |
| Soggetto non controllato |
Hilbert Space
Inverse problem Operator Equation Partial differential equations Reproducing Kernel Tikhonov regularization (discretization) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0115443 |
|
Saitoh, Saburou
|
||
| [Singapore], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Theory of reproducing Kernels and applications / Saburou Saitoh, Yoshihiro Sawano
| Theory of reproducing Kernels and applications / Saburou Saitoh, Yoshihiro Sawano |
| Autore | Saitoh, Saburou |
| Pubbl/distr/stampa | [Singapore], : Springer, 2016 |
| Descrizione fisica | XVIII, 452 p. : ill. ; 24 cm |
| Altri autori (Persone) | Sawano, Yoshihiro |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46E22 - Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [MSC 2020] |
| Soggetto non controllato |
Hilbert Space
Inverse problem Operator Equation Partial Differential Equations Reproducing Kernel Tikhonov regularization (discretization) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00115443 |
|
Saitoh, Saburou
|
||
| [Singapore], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||