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...

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Bibliographic Details
Main Authors: Nestor G. Acala, Edward Rowe M. Aleluya
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/2041262