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

Authors : Neslıhan KILAR

Pages : 807-817

Doi:10.35378/gujs.989270

View : 195 | Download : 251

Publication Date : 2023-06-01

Article Type : Research Paper

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