A Parametric Type of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials

Authors

H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada\\ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of ChinaFollow
Mohammad Masjed-Jamei, Department of Mathematics, K. N. Toosi University of Technology, P. O. Box 1618, Tehran 16315-1618, IranFollow
Mohammad Reza Beyki, Department of Mathematics, K. N. Toosi University of Technology, P. O. Box 1618, Tehran 16315-1618, IranFollow

Author Country (or Countries)

Republic of China

Abstract

By defining six specific generating functions, we introduce a kind of parametric Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, we study their basic properties in a systematic manner. As an application of the introduced polynomials, we use them in computing some new series of the Taylor type.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120502

Recommended Citation

M. Srivastava, H.; Masjed-Jamei, Mohammad; and Reza Beyki, Mohammad (2018) "A Parametric Type of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials," Applied Mathematics & Information Sciences: Vol. 12: Iss. 5, Article 2.
DOI: http://dx.doi.org/10.18576/amis/120502
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss5/2