Ramanujan s Lost Notebook : Part I
This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook. In addition to the lost notebook, this public...
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
New York, NY :
Springer New York
2005.
Cham : Springer Nature |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ramanujan's lost notebook, Part I, [edited by] George E. Andrews, Bruce Berndt, 2005, New York, Springer, 1 volume (XIV-437 pages), 0-387-25529-X • Ramanujan's Lost Notebook, Texte imprimé, 9780387506401 • Ramanujan's Lost Notebook, Texte imprimé, 9781441920621 • Ramanujan's Lost Notebook, Texte imprimé, 9781493976232 • Ramanujan's Lost Notebook, Texte imprimé, 9781493976256 |
Table des matières:
- Inroduction
- Rogers-Ramanujan Continued Fraction and Its Modular Properties
- Explicit Evaluations of the Rogers-Ramanujan Continued Fraction
- A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions
- The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series
- Finite Rogers-Ramanujan Continued Fractions
- Other q-continued Fractions
- Asymptotic Formulas for Continued Fractions
- Ramanujan s Continued Fraction for (q2;q3)?/(q;q3)?
- The Rogers-Fine Identity
- An Empirical Study of the Rogers-Ramanujan Identities
- Rogers-Ramanujan-Slater Type Identities
- Partial Fractions
- Hadamard Products for Two q-Series
- Integrals of Theta Functions
- Incomplete Elliptic Integrals
- Infinite Integrals of q-Products
- Modular Equations in Ramanujan s Lost Notebook
- Fragments on Lambert Series.