Modified Apostol-Euler numbers and polynomials of higher order

被引：0

作者：

Bin-Saad, Maged G. ^{[1
]}

Bin-Alhag, Ali Z. ^{[1
]}

机构：

[1] Aden Univ, Dept Math, POB 6014, Kohrmakssar, Yemen

来源：

TBILISI MATHEMATICAL JOURNAL | 2018年 / 11卷 / 04期

关键词：

Euler polynomials; Euler polynomials of higher order; Apostol-Euler polynomials; Apostol-Euler polynomials of higher order;

D O I：

10.32513/tbilisi/1546570885

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this work is to give modified definitions of Apostol-Euler polynomials and numbers of higher order. We establish their elementary properties, sums, explicit relations, integrals and differential relations. A number of new results which introduced are generalization of known results and their special cases lead to the corresponding formulas of the classical Euler numbers and polynomials.

引用

页码：53 / 66

页数：14

共 50 条

[1] The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order
Luo, Qiu-Ming
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (05) : 377 - 391
[2] Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
Luo, Qiu-Ming
TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (04): : 917 - 925
[3] On the q-Extension of Apostol-Euler Numbers and Polynomials
Kim, Young-Hee
Kim, Wonjoo
Jang, Lee-Chae
ABSTRACT AND APPLIED ANALYSIS, 2008,
[4] Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
He, Yuan
Araci, Serkan
Srivastava, Hari M.
Abdel-Aty, Mahmoud
MATHEMATICS, 2018, 6 (12):
[5] Remarks on Generalized Apostol-Euler Type Polynomials and Numbers
Yuluklu, Eda
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
[6] On Hermite Base Apostol-Euler Type Polynomials and Numbers
Yuluklu, Eda
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
[7] Fourier expansions for higher-order Apostol-Genocchi, Apostol-Bernoulli and Apostol-Euler polynomials
Corcino, Cristina B.
Corcino, Roberto B.
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[8] MODIFICATION EXPONENTIAL EULER TYPE SPLINES DERIVED FROM APOSTOL-EULER NUMBERS AND POLYNOMIALS OF COMPLEX ORDER
Gun, Damla
Simsek, Yilmaz
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2023, 17 (01) : 197 - 215
[9] Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
Zhao, Jiao-Lian
Wang, Jing-Lin
Qi, Feng
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1345 - 1349
[10] Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol-Bernoulli Polynomials and Numbers, and Degenerate Apostol-Euler Polynomials and Numbers
Jin, Siqintuya
Dagli, Muhammet Cihat
Qi, Feng
AXIOMS, 2022, 11 (09)

← 1 2 3 4 5 →