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

Kilar, Neslihan2024-11-072024-11-0720232147-1762https://doi.org/10.35378/gujs.989270https://hdl.handle.net/11480/14171Using 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.eninfo:eu-repo/semantics/openAccessApostol type polynomials and numbersFubini type polynomials and numbersSpecial polynomials and numbersGenerating functionsCombinatorial sumsCombinatorial Sums and Identities associated with Functional Equations of Generating Functions for Fubini Type PolynomialsArticle36280781710.35378/gujs.9892702-s2.0-85161432197Q3WOS:001011280200020N/A