MILAN JOURNAL OF MATHEMATICS, vol.89, no.1, pp.217-239, 2021 (SCI-Expanded)
Article / Article
MILAN JOURNAL OF MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Bernoulli numbers and polynomials, Euler numbers and polynomials, Stirling numbers, Cosine-type Bernoulli and Euler polynomials, Sine-type Bernoulli and Euler polynomials, Trigonometric and generating functions, COMBINATORIAL SUMS, EULER, BERNOULLI, IDENTITIES
Akdeniz University Affiliated:
The aim of this paper is to apply trigonometric functions with functional equations of generating functions. Using the resulted new equations and formulas from this application, we obtain many special numbers and polynomials such as the Stirling numbers, Bernoulli and Euler type numbers, the array polynomials, the Catalan numbers, and the central factorial numbers. We then introduce combinatorial sums related to these special numbers and polynomials. Moreover, we gave some remarks that relates our new findings from this paper to the relations found in earlier studies.