Development of elliptic functions according to Ramanujan /

Venkatachaliengar, K.

Development of elliptic functions according to Ramanujan / originally by K. Venkatachaliengar ; edited and revised by Shaun Cooper. - [Rev. ed.]. - Singapore ; Hackensack, NJ : World Scientific, ©2012. - 1 online resource (xv, 167 pages) : illustrations. - Monographs in number theory, v. 6 1793-8341 ; . - Monographs in number theory ; v. 6. .

Originally published as a Technical Report 2 by Madurai Kamaraj University in February, 1988.

Includes bibliographical references and index.

The basic identity -- The differential equations of P, Q and R -- The Jordan-Kronecker function -- The Weierstrassian invariants -- The Weierstrassian invariants, II -- Development of elliptic functions -- The modular function [Lambda].

This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter. The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan's work. It can be read by anyone with some undergraduate knowledge of re.

9814366463 9789814366465

40020291186




Ramanujan Aiyangar, Srinivasa, 1887-1920.
Ramanujan Aiyangar, Srinivasa, 1887-1920


Elliptic functions.
Fonctions elliptiques.
MATHEMATICS--Complex Analysis.
Elliptic functions

QA343 / .V46 2012

515.983

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