Ramanujan's Lost Notebook Part II /

• Main Authors: Andrews, George E. (Author), Berndt, Bruce C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Subjects: Mathematics.; Geometry, algebraic.; Sequences (Mathematics).; Functions, special.; Special Functions.; Sequences, Series, Summability.; Algebraic Geometry.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b13290

This volume is the second of approximately four volumes that the authors plan to write on Ramanujans lost notebook, which is broadly interpreted to include all material published in The Lost Notebook and Other Unpublished Papers in 1988. The primary topics addressed in the authors second volume on...

Table of Contents:

• Preface
• Introduction
• The Heine Transformation
• The Sears-Thomae Transformation
• Bilateral Series
• Well-poised Series
• Bailey's Lemma and Theta Expansions
• Partial Theta Functions
• Special Identities
• Theta Function Identities
• Ramanujan's Cubic Class Invariant
• Miscellaneous Results on Elliptic Functions and Theta Functions
• Formulas for the Power Series Cofficients of Certain Quotients of Eisenstein Series
• Letters From Matlock House
• Eisenstein Series and Modular Equations
• Series Representable in Terms of Eisenstein Series
• Eisenstein Series and Approximations to p
• Miscellaneous Results on Eisenstein Series
• Location Guide
• Provenance
• References.-.