Ramanujan's Lost Notebook Part II /

• Κύριοι συγγραφείς: Andrews, George E. (Συγγραφέας), Berndt, Bruce C. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2009.
• Θέματα: Mathematics.; Algebraic geometry.; Sequences (Mathematics).; Special functions.; Algebraic Geometry.; Sequences, Series, Summability.; Special Functions.

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lost notebook, which is broadly interpreted to include all material published in The Lost Notebook and Other Unpublished Papers in 1988.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

Πίνακας περιεχομένων:

• The Heine Transformation
• The Sears#x2013; Thomae Transformation
• Bilateral Series
• Well-Poised Series
• Bailey#x02019;s Lemma and Theta Expansions
• Partial Theta Functions
• Special Identities
• Theta Function Identities
• Ramanujan#x02019;s Cubic Analogue of the Classical Ramanujan#x2013;Weber Class Invariants
• Miscellaneous Results on Elliptic Functions and Theta Functions
• Formulas for the Power Series Coefficients of Certain Quotients of Eisenstein Series
• Two Letters on Eisenstein Series Written from Matlock House
• Eisenstein Series and Modular Equations
• Series Representable in Terms of Eisenstein Series
• Eisenstein Series and Approximations to #x03C0;
• Miscellaneous Results on Eisenstein Series.