Multifarious Implicit Summation Formulae of Hermite-Based Poly-Daehee Polynomials

Authors

Waseem A. Khan, Department of Mathematics, Faculty of Science, Integral University, Lucknow-226026, IndiaFollow
K. S. Nisar, Department of Mathematics, College of Arts and Science-Wadi Al dawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi ArabiaFollow
Ugur Duran, Department of the Basic Concepts of Engineering, Faculty of Engineering and Natural Sciences, ˙Iskenderun Technical University, TR-31200 Hatay, TurkeyFollow
Mehmet Acikgoz, Department of Mathematics, Faculty of Science and Arts, Gaziantep University, TR-27310 Gaziantep, TurkeyFollow
Serkan Araci, Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, TurkeyFollow

Author Country (or Countries)

India

Abstract

In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based poly-Daehee numbers and polynomials including recurrence relations, addition property and correlations with poly-Bernoulli polynomials of second kind. We then derive diverse implicit summation formula for Hermite-based poly-Daehee numbers and polynomials by applying the series manipulation methods.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100304

Recommended Citation

A. Khan, Waseem; S. Nisar, K.; Duran, Ugur; Acikgoz, Mehmet; and Araci, Serkan (2018) "Multifarious Implicit Summation Formulae of Hermite-Based Poly-Daehee Polynomials," Applied Mathematics & Information Sciences: Vol. 12: Iss. 2, Article 4.
DOI: http://dx.doi.org/10.18576/journal/100304
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss2/4