Combinatorial Sums and Identities associated with Functional Equations of Generating Functions for Fubini Type Polynomials

Year 2023, Volume: 36 Issue: 2, 807 - 817, 01.06.2023

Neslıhan Kılar

https://doi.org/10.35378/gujs.989270

Cited By: 3

https://izlik.org/JA48BH95NC

Abstract

Using generating functions with their functional equations method, a great number of novel combinatorial sums, formulas, and recurrence relation including Fubini type polynomials and numbers, Stirling type numbers, and Apostol type polynomials are given. Applying Riemann integral to this generating function with their functional equations, some identities involving Cauchy and Stirling numbers are obtained. Moreover, some interpretations about the results are given. 

Keywords

Apostol type polynomials and numbers , Fubini type polynomials and numbers , Special polynomials and numbers , Generating functions , Combinatorial sums

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