Formulas for special numbers and polynomials derived from functional equations of their generating functions

Authors

NESLİHAN KILAR

DOI

10.55730/1300-0098.3280

Abstract

The main purpose of this paper is to investigate various formulas, identities and relations involving Apostol type numbers and parametric type polynomials. By using generating functions and their functional equations, we give many relations among the certain family of combinatorial numbers, the Vieta polynomials, the two-parametric types of the Apostol-Euler polynomials, the Apostol-Bernoulli polynomials, the Apostol-Genocchi polynomials, the Fibonacci and Lucas numbers, the Chebyshev polynomials, and other special numbers and polynomials. Moreover, we give some formulas related to trigonometric functions, special numbers and special polynomials. Finally, some remarks and observations on the results of this paper are given.

Keywords

Apostol type numbers and polynomials, Vieta polynomials, Fibonacci and Lucas numbers, parametric type polynomials, special numbers and polynomials, generating functions

First Page

2450

Last Page

2465

Recommended Citation

KILAR, NESLİHAN (2022) "Formulas for special numbers and polynomials derived from functional equations of their generating functions," Turkish Journal of Mathematics: Vol. 46: No. 6, Article 28. https://doi.org/10.55730/1300-0098.3280
Available at: https://journals.tubitak.gov.tr/math/vol46/iss6/28