On the Expansions of the Elliptic and Zeta Functions of 2/3K in Powers of q
โ Scribed by Glaisher, J. W. L.
- Book ID
- 120104414
- Publisher
- Oxford University Press
- Year
- 1905
- Tongue
- English
- Weight
- 279 KB
- Volume
- s2-2
- Category
- Article
- ISSN
- 0024-6115
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
*Zeta and q-Zeta Functions and Associated Series and Integrals* is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory
A recurrence relation is derived for expansion coefficients in a power series of the nome q exp[-rrK(k')/K(k)]= + ~, where K(k) is the complete elliptic integral of the first kind, k' = (1-k 2)'~2, and A = ~(1 -k '~2/(i + k~I~~2)โข A simple numerical method based on the recurrence relation is develop