๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some convolution series identities

โœ Scribed by R.K. Raina; H.M. Srivastava


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
399 KB
Volume
21
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Some Eisenstein Series Identities
โœ Zhi-Guo Liu ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

dedicated to bruce c. berndt on the occasion of his 60th birthday In this paper we use the theory of elliptic functions to provide different proofs of some Eisenstein series identities of Ramanujan from those given in a recent paper by B. C. Berndt, S. Bhargava, and F. G. Garvan (1995, Trans. Amer.

Some multiple series identities
โœ B.B. Jaimini; C.L. Koul; H.M. Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB
Some q-series identities related to divi
โœ Karl Dilcher ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 336 KB

The generating functions of the divisor functions adn) ---Ydl,d k are expressed as sums of products of the series U,(q):= ~ nmq" [1 (l-qJ), m= 1 ..... k+ 1, n=l j=n+l and vice versa. Other related q-series identities are derived, including

Convolution identities and lacunary recu
โœ Takashi Agoh; Karl Dilcher ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 169 KB

We extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can be written in symbolic notation as (B 0 + B 0 ) n = -nB n-1 -(n -1)B n , to obtain explicit expressions for (B k + B m ) n with arbitrary fixed integers k, m 0. The proof uses convolution identities for Stirl

On some resultant identities
โœ N. Kravitsky; Z. Waksman ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 850 KB