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
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
  • [31] A Note on the Truncated-Exponential Based Apostol-Type Polynomials
    Srivastava, H. M.
    Araci, Serkan
    Khan, Waseem A.
    Acikgoz, Mehmet
    SYMMETRY-BASEL, 2019, 11 (04):
  • [32] ON GENERALIZED LAGRANGE-BASED APOSTOL-TYPE AND RELATED POLYNOMIALS
    Khan, Waseem A.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (06): : 865 - 882
  • [33] Some results for Apostol-type polynomials associated with umbral algebra
    Lu, Da-Qian
    Xiang, Chang-He
    Luo, Qiu-Ming
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [34] Multiplication Formulas for Apostol-Type Polynomials and Multiple Alternating Sums
    Luo, Qiu-Ming
    MATHEMATICAL NOTES, 2012, 91 (1-2) : 46 - 57
  • [35] The Monomiality Principle Applied to Extensions of Apostol-Type Hermite Polynomials
    Diaz, Stiven
    Ramirez, William
    Cesarano, Clemente
    Hernandez, Juan
    Rodriguez, Escarlin Claribel Perez
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [36] Some results for Apostol-type polynomials associated with umbral algebra
    Da-Qian Lu
    Chang-He Xiang
    Qiu-Ming Luo
    Advances in Difference Equations, 2013
  • [37] NEW RESULTS PARAMETRIC APOSTOL-TYPE FROBENIUS-EULER POLYNOMIALS AND THEIR MATRIX APPROACH
    Ramirez, William
    Ortega, MARiA JOSe
    Bedoya, Daniel
    Urieles, Alejandro
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2025, 49 (03): : 411 - 429
  • [38] Generating Functions for Special Polynomials and Numbers Including Apostol-Type and Humbert-Type Polynomials
    Gulsah Ozdemir
    Yilmaz Simsek
    Gradimir V. Milovanović
    Mediterranean Journal of Mathematics, 2017, 14
  • [39] 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)
  • [40] Generating Functions for Special Polynomials and Numbers Including Apostol-Type and Humbert-Type Polynomials
    Ozdemir, Gulsah
    Simsek, Yilmaz
    Milovanovic, Gradimir V.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (03)