Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new families, but also derive many new identities, r...

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Bibliographic Details
Main Authors: Irem Kucukoglu, Burcin Simsek, Yilmaz Simsek
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Axioms
Subjects:
generating functions
functional equations
partial differential equations
special numbers and polynomials
bernoulli numbers
euler numbers
stirling numbers
bell polynomials
cauchy numbers
poisson-charlier polynomials
bernstein basis functions
daehee numbers and polynomials
combinatorial sums
binomial coefficients
p-adic integral
probability distribution
Online Access:https://www.mdpi.com/2075-1680/8/4/112

Internet

https://www.mdpi.com/2075-1680/8/4/112

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