MODIFICATION EXPONENTIAL EULER TYPE SPLINES DERIVED FROM APOSTOL-EULER NUMBERS AND POLYNOMIALS OF COMPLEX ORDER

Applicable Analysis and Discrete Mathematics

article

Damla Gun¹  Yilmaz Simsek¹ 

[1] Department of Mathematics, University of Akdeniz

关键词: Exponential Euler splines;    Apostol-Euler numbers and polynomials;    Generating functions;    Beta-type rational functions;   

DOI  :  10.2298/AADM220712011G

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 】

The purpose of this paper is to give formulas and Recurrence relations forthe Apostol-Euler numbers and polynomials of order with complex numberswith the aid of the Euler operator and partial derivatives of the generatingfunction. Relations among the these numbers and polynomials of neqativeinteger order, the beta-type rational functions, finite combinatorial sums,the Stirling numbers, and the Lah numbers are given. Finally, new classes ofpolynomials and modification exponential Euler type splines are constructed.

【 授权许可】

Unknown