Affiliation:
1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Abstract
In this paper, the two-variable unified family of generalized Apostol-type polynomials is introduced, and some implicit forms and general symmetry identities are derived. Also, we obtain new degenerate Apostol-type numbers and polynomials constructed from the new 2-variable unified family. We derive explicit formulae of polynomials and identities that include some special numbers and polynomials. In addition, a probabilistic representation of the new family and some statistical properties are obtained.
Cited by
1 articles.
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1. Generalized Fubini Apostol-Type Polynomials and Probabilistic Applications;International Journal of Mathematics and Mathematical Sciences;2022-10-07