transform a b s t r a c t It is shown that there exists a companion formula to Srivastava's formula for the Lipschitz-Lerch Zeta function [see H.M. Srivastava, Some formulas for the Bernoulli and Euler polynomials at rational arguments, Math. Proc. Cambridge Philos. Soc. 129 (2000) 77-84] and that t
On the taylor expansion of the Lerch zeta-function
β Scribed by Dieter Klusch
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 428 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we define Ξ»-joint, a -joint, (Ξ», Ξ»)-joint, (Ξ», a )-joint and (a , a )-joint t-universality of Lerch zeta functions and consider the relations among those. Next we show the existence of (Ξ», Ξ»)joint t-universality. Finally, we also show the existence of Ξ»-joint, a -joint, (Ξ», a )-joint
In this paper, we show the following theorems. Suppose 0 < a l < 1 are algebraically independent numbers and 0 < Ξ» l 1 for 1 l m. Then we have the joint t-universality for Lerch zeta functions L(Ξ» l , a l , s) for 1 l m. Next we generalize Lerch zeta functions, and obtain the joint t-universality fo