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
  • [41] Unification of Two-Variable Family of Apostol-Type Polynomials with Applications
    El-Desouky, Beih S.
    Gomaa, Rabab S.
    Magar, Alia M.
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [42] Combinatorial approach of unified Apostol-type polynomials using α-distanced words
    Benyi, Beata
    Nkonkobe, Sithembele
    DISCRETE APPLIED MATHEMATICS, 2024, 344 : 23 - 31
  • [43] THE MULTI-VARIABLE UNIFIED FAMILY OF GENERALIZED APOSTOL-TYPE POLYNOMIALS
    El-Desouky, Beih S.
    Gomaa, Rabab S.
    Magar, Alia M.
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020, 14 (02) : 317 - 334
  • [44] A New Class of Generalized Hermite Based Apostol Type Polynomials
    Batra, Saniya
    Rai, Prakriti
    Batra, Saniya, 1600, International Association of Engineers (51): : 1 - 8
  • [45] A new class of Laguerre-based Apostol type polynomials
    Khan, Waseem A.
    Araci, Serkan
    Acikgoz, Mehmet
    COGENT MATHEMATICS, 2016, 3
  • [46] A parametric unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials and numbers
    Kurt, Burak
    FILOMAT, 2023, 37 (19) : 6307 - 6317
  • [47] Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums
    Kurt, Veli
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [48] Exploring the properties of multivariable Hermite polynomials in relation to Apostol-type Frobenius-Genocchi polynomials
    Wani, Shahid Ahmad
    Shah, Tafaz Ul Rahman
    Ramirez, William
    Cesarano, Clemente
    GEORGIAN MATHEMATICAL JOURNAL, 2024,
  • [49] Some Properties of Generalized Apostol-Type Frobenius-Euler-Fibonacci Polynomials
    Alatawi, Maryam Salem
    Khan, Waseem Ahmad
    Kizilates, Can
    Ryoo, Cheon Seoung
    MATHEMATICS, 2024, 12 (06)
  • [50] IMPLEMENTATION OF COMPUTATION FORMULAS FOR CERTAIN CLASSES OF APOSTOL-TYPE POLYNOMIALS AND SOME PROPERTIES ASSOCIATED WITH THESE POLYNOMIALS
    Kucukoglu, Irem
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (01): : 426 - 442
12345