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Development of elliptic functions according to Ramanujan /
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 i...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2012.
|
| Edición: | [Rev. ed.]. |
| Colección: | Monographs in number theory ;
v. 6. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Venkatachaliengar, K. | |
| 245 | 1 | 0 | |a Development of elliptic functions according to Ramanujan / |c originally by K. Venkatachaliengar ; edited and revised by Shaun Cooper. |
| 250 | |a [Rev. ed.]. | ||
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c ©2012. | ||
| 300 | |a 1 online resource (xv, 167 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Monographs in number theory, |x 1793-8341 ; |v v. 6 | |
| 500 | |a Originally published as a Technical Report 2 by Madurai Kamaraj University in February, 1988. | ||
| 505 | 0 | |6 880-01 |a 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]. | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 600 | 1 | 0 | |a Ramanujan Aiyangar, Srinivasa, |d 1887-1920. |
| 600 | 1 | 7 | |a Ramanujan Aiyangar, Srinivasa, |d 1887-1920 |2 fast |
| 650 | 0 | |a Elliptic functions. | |
| 650 | 6 | |a Fonctions elliptiques. | |
| 650 | 7 | |a MATHEMATICS |x Complex Analysis. |2 bisacsh | |
| 650 | 7 | |a Elliptic functions |2 fast | |
| 700 | 1 | |a Cooper, Shaun. | |
| 776 | 0 | 8 | |i Print version: |z 9789814366458 |z 9814366455 |w (DLC) 2011293884 |
| 830 | 0 | |a Monographs in number theory ; |v v. 6. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=426455 |z Texto completo |
| 880 | 0 | |6 505-01/(S |a Machine generated contents note: 1.1. Introduction -- 1.2. The generalized Ramanujan identity -- 1.3. The Weierstrass elliptic function -- 1.4. Notes -- 2.1. Ramanujan's differential equations -- 2.2. Ramanujan's 1ψ1 summation formula -- 2.3. Ramanujan's transcendentals U2n and V2n -- 2.4. The imaginary transformation and Dedekind's eta-function -- 2.5. Notes -- 3.1. The Jordan-Kronecker function -- 3.2. The fundamental multiplicative identity -- 3.3. Partitions -- 3.4. The hypergeometric function 2F1(1/2,1/2;1;x): first method -- 3.5. Notes -- 4.1. Halphen's differential equations -- 4.2. Jacobi's identities and sums of two and four squares -- 4.3. Quadratic transformations -- 4.4. The hypergeometric function 2F1(1/2,1/2;1;x): second method -- 4.5. Notes -- 5.1. Parameterizations of Eisenstein series -- 5.2. Sums of eight squares and sums of eight, triangular numbers -- 5.3. Quadratic transformations -- 5.4. The hypergeometric function 2F1(1/4, 3/4; 1; x). | |
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