On Generalized Arakawa–Kaneko Zeta Functions with Parameters a,b,c
Joint Authors
Acala, Nestor
Aleluya, Edward Rowe M.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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 zeta functions and the poly-Bernoulli polynomials with a,b,c parameters is obtained.
Moreover, explicit, difference, and Raabe’s formulas for ξks,x;a,b,c are derived.
American Psychological Association (APA)
Acala, Nestor& Aleluya, Edward Rowe M.. 2020. On Generalized Arakawa–Kaneko Zeta Functions with Parameters a,b,c. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1172619
Modern Language Association (MLA)
Acala, Nestor& Aleluya, Edward Rowe M.. On Generalized Arakawa–Kaneko Zeta Functions with Parameters a,b,c. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1172619
American Medical Association (AMA)
Acala, Nestor& Aleluya, Edward Rowe M.. On Generalized Arakawa–Kaneko Zeta Functions with Parameters a,b,c. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1172619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172619