q-Sumudu Transforms of q-Analogues of Bessel Functions

被引：6
|
作者：
Ucar, Faruk [1 ]
机构：
[1] Marmara Univ, Dept Math, TR-34722 Istanbul, Turkey
来源：
SCIENTIFIC WORLD JOURNAL | 2014年
关键词：
D O I：
10.1155/2014/327019
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 evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions. The results may help to extend the q-theory of orthogonal functions.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Juggling and applications to q-analogues
    Ehrenborg, R
    Readdy, M
    DISCRETE MATHEMATICS, 1996, 157 (1-3) : 107 - 125
  • [22] The q-Sumudu transform and its certain properties in a generalized q-calculus theory
    Shrideh Khalaf Al-Omari
    Advances in Difference Equations, 2021
  • [23] Landau constants and their q-analogues
    Ismail, Mourad E. H.
    Li, Xin
    Rahman, M.
    ANALYSIS AND APPLICATIONS, 2015, 13 (02) : 217 - 231
  • [24] On q-analogues and stability theorems
    Blokhuis A.
    Brouwer A.
    Szonyi T.
    Weiner Z.
    Journal of Geometry, 2011, 101 (1-2) : 31 - 50
  • [25] Geometric juggling with q-analogues
    Engstrom, Alexander
    Leskela, Lasse
    Varpanen, Harri
    DISCRETE MATHEMATICS, 2015, 338 (07) : 1067 - 1074
  • [26] HERMITE'S FORMULAS FOR q-ANALOGUES OF HURWITZ ZETA FUNCTIONS
    Tomita, Yoshinobu
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2011, 45 (02) : 289 - 301
  • [27] The continuity in q of the Lupaş q-analogues of the Bernstein operators
    Yilmaz, Ovgue Gurel
    Ostrovska, Sofiya
    Turan, Mehmet
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 529 (02)
  • [28] q-Rational reduction and q-analogues of series for π
    Wang, Rong-Hua
    Zhong, Michael X. X.
    JOURNAL OF SYMBOLIC COMPUTATION, 2023, 116 : 58 - 71
  • [29] CHARACTERIZATIONS OF ULTRASPHERICAL POLYNOMIALS AND THEIR q-ANALOGUES
    Kahler, Stefan
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (01) : 87 - 101
  • [30] q-Analogues of Some Series for Powers of π
    Hou, Qing-Hu
    Sun, Zhi-Wei
    ANNALS OF COMBINATORICS, 2021, 25 (01) : 167 - 177
12345