A new class of degenerate biparametric Apostol-type polynomials

被引：0
|
作者：
Bedoya, Daniel [1 ]
Cesarano, Clemente [2 ]
Ramirez, William [3 ]
Castilla, Letelier [4 ]
机构：
[1] Univ Metropolitana Barranquilla, Dept Ciencias Basicas, Barranquilla, Colombia
[2] Univ Telemat Int Uninettuno Rome, Rome, Italy
[3] Univ Costa Barranquilla, Dept Ciencias Nat & Exactas, Barranquilla, Colombia
[4] IEE Normal Super Nuestra Senora Fatima, Sabanagrande, Colombia
来源：
DOLOMITES RESEARCH NOTES ON APPROXIMATION | 2023年 / 16卷 / 01期
关键词：
Bernoulli polynomials; Apostol-type polynomials; degenerate Apostol-type; biparametric polynomials;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main objective of this paper is to introduce and explore two novel classes of degenerate biparametric Apostol-type polynomials, which are based on a definition of degenerate Apostol-type polynomials provided by Subuhi Khan et al. We derive various algebraic and differential properties associated with these polynomials. Additionally, we provide a series of illustrative examples for these newly introduced polynomial families along with their corresponding graphs. The majority of the results are proven utilizing well-established generating functions and identities.
引用
收藏
页码：10 / 19
页数：10
相关论文
共 50 条
  • [21] Some results on power sums and Apostol-type polynomials
    Wang, Weiping
    Wang, Wenwen
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (04) : 307 - 318
  • [22] Some formulas for the generalized Apostol-type polynomials and numbers
    Shao, Wen-Kai
    He, Yuan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2511 - 2519
  • [23] Some unified formulas and representations for the Apostol-type polynomials
    Lu, Da-Qian
    Luo, Qiu-Ming
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 16
  • [24] On the generalized Apostol-type Frobenius-Euler polynomials
    Kurt, Burak
    Simsek, Yilmaz
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [25] On the generalized Apostol-type Frobenius-Euler polynomials
    Burak Kurt
    Yilmaz Simsek
    Advances in Difference Equations, 2013
  • [26] On the generalized Apostol-type Frobenius-Genocchi polynomials
    Khan, Waseem A.
    Srivastava, Divesh
    FILOMAT, 2019, 33 (07) : 1967 - 1977
  • [27] Formulas Associated with Combinatorial Polynomials and two Parametric Apostol-type Polynomials
    Gun, Damla
    Simsek, Yilmaz
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, 2020, 2293
  • [28] A Family of Generalized Legendre-Based Apostol-Type Polynomials
    Usman, Talha
    Khan, Nabiullah
    Aman, Mohd
    Choi, Junesang
    AXIOMS, 2022, 11 (01)
  • [29] On unified Gould-Hopper based Apostol-type polynomials
    Khan, Waseem Ahmad
    Nisar, Kottakkaran Sooppy
    Acikgoz, Mehmet
    Duran, Ugur
    Abusufian, Abdallah Hassan
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 24 (04): : 287 - 298
  • [30] Multiplication formulas for Apostol-type polynomials and multiple alternating sums
    Qiu-Ming Luo
    Mathematical Notes, 2012, 91 : 46 - 57
12345