Novel Properties of q-Sine-Based and q-Cosine-Based q-Fubini Polynomials

被引：5
|
作者：
Khan, Waseem Ahmad [1 ]
Alatawi, Maryam Salem [2 ]
Ryoo, Cheon Seoung [3 ]
Duran, Ugur [4 ]
机构：
[1] Prince Mohammad Bin Fahd Univ, Dept Math & Nat Sci, POB 1664, Al Khobar 31952, Saudi Arabia
[2] Univ Tabuk, Fac Sci, Dept Math, Tabuk 71491, Saudi Arabia
[3] Hannam Univ, Dept Math, Daejeon 34430, South Korea
[4] Iskenderun Tech Univ, Fac Engn & Nat Sci, Dept Basic Concepts Engn, TR-31200 Hatay, Turkiye
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 02期
关键词：
q-special polynomials; q-trigonometric polynomials; q-Fubini polynomials; q-Stirling numbers of the second kind;
D O I：
10.3390/sym15020356
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The main purpose of this paper is to consider q-sine-based and q-cosine-Based q-Fubini polynomials and is to investigate diverse properties of these polynomials. Furthermore, multifarious correlations including q-analogues of the Genocchi, Euler and Bernoulli polynomials, and the q-Stirling numbers of the second kind are derived. Moreover, some approximate zeros of the q-sinebased and q-cosine-Based q-Fubini polynomials in a complex plane are examined, and lastly, these zeros are shown using figures.
引用
收藏
页数：18
相关论文
共 50 条
  • [11] EXPLICIT PROPERTIES OF q-SIGMOID POLYNOMIALS COMBINING q-COSINE FUNCTION
    Kang, Jung Yoog
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2021, 39 (3-4): : 541 - 552
  • [12] SOME PROPERTIES AND IDENTITIES FOR (p, q)-GENOCCHI POLYNOMIALS COMBINING (p, q)-COSINE FUNCTION
    Kang, Jung Yoog
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (1-2): : 233 - 242
  • [13] A note on (p, q)-analogue type of Fubini numbers and polynomials
    Khan, Waseem Ahmad
    Nisar, Kottakkaran Sooppy
    Baleanu, Dumitru
    AIMS MATHEMATICS, 2020, 5 (03): : 2743 - 2757
  • [14] Q-learning embedded sine cosine algorithm (QLESCA)
    Hamad, Qusay Shihab
    Samma, Hussein
    Suandi, Shahrel Azmin
    Mohamad-Saleh, Junita
    EXPERT SYSTEMS WITH APPLICATIONS, 2022, 193
  • [15] A note on (p, q)-Bernstein polynomials and their applications based on (p, q)-calculus
    Agyuz, Erkan
    Acikgoz, Mehmet
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [16] PROPERTIES OF Q-POLYNOMIALS
    CARCANAG.J
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1967, 265 (15): : 415 - &
  • [17] STANCU POLYNOMIALS BASED ON THE Q-INTEGERS
    Xueyan Xiang (Lishui University
    Analysis in Theory and Applications, 2012, 28 (03) : 232 - 241
  • [18] Properties of q-Starlike Functions Associated with the q-Cosine Function
    Khan, Mohammad Faisal
    SYMMETRY-BASEL, 2022, 14 (06):
  • [19] q-Legendre based Gould–Hopper polynomials and q-operational methods
    Fadel Mohammed
    William Ramírez
    Clemente Cesarano
    Stiven Díaz
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2025, 71 (2)
  • [20] Some Properties of the (p,q)-Fibonacci and (p,q)-Lucas Polynomials
    Lee, GwangYeon
    Asci, Mustafa
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345