ON A FAMILY OF SPECIAL NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-TYPE NUMBERS AND POLYNOMIALS AND COMBINATORIAL NUMBERS

Applicable Analysis and Discrete Mathematics

article

Irem Kucukoglu¹  Yilmaz Simsek² 

[1] Department of Engineering Fundamental Sciences, Faculty of Engineering, Alanya Alaaddin Keykubat University;Department of Mathematics, Faculty of Science, University of Akdeniz TR-07058 Antalya

关键词: Apostol-type Numbers and Polynomials;    Computation algorithm;    Generating functions;    Stirling numbers;    functional equation;   

DOI  :  10.2298/AADM180215016K

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this article, we examine a family of some special numbers and polynomials not only with their generating functions, but also with computationalgorithms for these numbers and polynomials. By using these algorithms,we provide several values of these numbers and polynomials. Furthermore,some new identities, formulas and combinatorial sums are obtained by usingrelations derived from the functional equations of these generating functions.These identities and formulas include the Apostol-type numbers and polynomials, and also the Stirling numbers. Finally, we give further remarks andobservations on the generating function including λ-Apostol-Daehee numbers,special numbers, and finite sums.

【 授权许可】

Unknown