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)
A. Khan, Waseem; S. Nisar, K.; Duran, Ugur; Acikgoz, Mehmet; and Araci, Serkan
"Multifarious Implicit Summation Formulae of Hermite-Based Poly-Daehee Polynomials,"
Applied Mathematics & Information Sciences: Vol. 12
, Article 4.
Available at: https://dc.naturalspublishing.com/amis/vol12/iss2/4