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Asymptotic forms of Whittaker's confluent hypergeometric functions / / A. Erdélyi, C.A. Swanson
| Asymptotic forms of Whittaker's confluent hypergeometric functions / / A. Erdélyi, C.A. Swanson |
| Autore | Erdélyi Arthur |
| Pubbl/distr/stampa | Providence, R.I. : , : American Mathematical Society, , 1957 |
| Descrizione fisica | 1 online resource (60 pages) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Airy functions
Coulomb functions Hypergeometric functions |
| ISBN | 0-8218-9967-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Confluent hypergeometric functions""; ""3. Bessel functions""; ""4. Airy functions""; ""5. The Bessel comparison functions""; ""6. The functions U and T""; ""7. Asymptotic forms for the functions u[sub(r)] and u[sub(r)]'""; ""8. The Airy comparison functions""; ""9. Asymptotic forms for the functions v[sub(r)] and v[sub(r)]'""; ""10. Asymptotic forms for Whittaker functions""; ""11. Asymptotic forms for Coulomb wave functions""; ""12. Simplified asymptotic forms for restricted x-intervals""; ""References"" |
| Altri titoli varianti | Whittaker's confluent hypergeometric functions |
| Record Nr. | UNINA-9910788769303321 |
Erdélyi Arthur
|
||
| Providence, R.I. : , : American Mathematical Society, , 1957 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic forms of Whittaker's confluent hypergeometric functions / / A. Erdélyi, C.A. Swanson
| Asymptotic forms of Whittaker's confluent hypergeometric functions / / A. Erdélyi, C.A. Swanson |
| Autore | Erdélyi Arthur |
| Pubbl/distr/stampa | Providence, R.I. : , : American Mathematical Society, , 1957 |
| Descrizione fisica | 1 online resource (60 pages) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Airy functions
Coulomb functions Hypergeometric functions |
| ISBN | 0-8218-9967-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Confluent hypergeometric functions""; ""3. Bessel functions""; ""4. Airy functions""; ""5. The Bessel comparison functions""; ""6. The functions U and T""; ""7. Asymptotic forms for the functions u[sub(r)] and u[sub(r)]'""; ""8. The Airy comparison functions""; ""9. Asymptotic forms for the functions v[sub(r)] and v[sub(r)]'""; ""10. Asymptotic forms for Whittaker functions""; ""11. Asymptotic forms for Coulomb wave functions""; ""12. Simplified asymptotic forms for restricted x-intervals""; ""References"" |
| Altri titoli varianti | Whittaker's confluent hypergeometric functions |
| Record Nr. | UNINA-9910828811703321 |
|
Erdélyi Arthur
|
||
| Providence, R.I. : , : American Mathematical Society, , 1957 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation
| Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation |
| Autore | Hammond Alan |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (146 pages) |
| Disciplina | 530.13 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Brownian motion processes
Gibbs' equation Airy functions Set theory Percolation (Statistical physics) Geodesics (Mathematics) Stochastic partial differential equations Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Interacting particle systems Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Exactly solvable models; Bethe ansatz Probability theory and stochastic processes -- Stochastic analysis -- Stochastic partial differential equations |
| ISBN |
9781470470951
1470470950 |
| Classificazione | 82C2282B2360H15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Kardar-Parisi-Zhang universality -- 1.2. A conceptual overview of the scaled Brownian last passage percolation study -- 1.3. Non-intersecting line ensembles and their integrable and probabilistic analysis -- 1.4. The article's main results -- Chapter 2. Brownian Gibbs ensembles: Definition and statements -- 2.1. Preliminaries: Bridge ensembles and the Brownian Gibbs property -- 2.2. Statements of principal results concerning regular ensembles -- 2.3. Some generalities: Notation and basic properties of Brownian Gibbs ensembles -- Chapter 3. Missing closed middle reconstruction and the Wiener candidate -- 3.1. Close encounter between finitely many non-intersecting Brownian bridges -- 3.2. The reconstruction of the missing closed middle -- 3.3. Applications of the Wiener candidate approach -- Chapter 4. The jump ensemble method: Foundations -- 4.1. The jump ensemble method -- 4.2. General tools for the jump ensemble method -- Chapter 5. The jump ensemble method: Applications -- 5.1. Upper bound on the probability of curve closeness over a given point -- 5.2. Closeness of curves at a general location -- 5.3. Brownian bridge regularity of regular ensembles -- Appendix A. Properties of regular Brownian Gibbs ensembles -- A.1. Scaled Brownian LPP line ensembles are regular -- A.2. The lower tail of the lower curves -- A.3. Regular ensemble curves collapse near infinity -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910966329903321 |
|
Hammond Alan
|
||
| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
