On Generalized Arakawa–Kaneko Zeta Functions with Parameters a,b,c
For k∈ℤ, the generalized Arakawa–Kaneko zeta functions with a, b, c parameters are given by the Laplace-Mellin integral ξks,x;a,b,c=1/Γs∫0∞Lik1−ab−t/bt−a−tc−xtts−1dt, where ℜs>0 and x>0 if k≥1, and ℜs>0 and x>k+1 if k≤0. In this paper, an interpolation formula between these generalized z...
Saved in:
Main Authors: | Nestor G. Acala, Edward Rowe M. Aleluya |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2020-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2020/2041262 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On the mean square of the Lerch zeta-function with respect to the parameter
by: Antanas Laurinčikas
Published: (2000-12-01) -
On the influence of the arithmetical character of the parameters for the Lerch zeta-function
by: Jolita Ignatavičiūtė
Published: (2002-12-01) -
Approximation of analytic functions by generalized shifts of the Lerch zeta-function
by: Aidas Balčiūnas, et al.
Published: (2025-01-01) -
Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function
by: G. Murugusundaramoorthy, et al.
Published: (2011-01-01) -
The mean square of the Lerch zeta-function with respect to the parameter α
by: Antanas Laurinčikas
Published: (2001-12-01)