ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION

被引：0
|
作者：
Gehlot, K. S. [1 ]
Purohit, S. D. [2 ]
Sharma, J. B. [3 ]
机构：
[1] Govt Coll Jodhpur, First Pulia,Chopasni Housing Board, Jodhpur 342008, Rajasthan, India
[2] Rajasthan Tech Univ, Dept HEAS Math, Kota 324010, India
[3] Rajasthan Tech Univ, Dept ECE, Kota 324010, India
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2020年 / 10卷 / 01期
关键词：
k-Gamma function; k-Pochhammer symbol; k-Bessel function;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our purpose in this paper is to study certain basic properties of k-Bessel function, introduced by Gehlot [Nonl. Anal. Diff. Eq., 2(2)(2014), 61-67]. In this regard, we obtain addition theorem, expansions formula, integral representations and recurrence relation etc. Further, we also evaluate the relation between k-Bessel's function and Gauss hypergemetric function.
引用
收藏
页码：95 / 101
页数：7
相关论文
共 50 条
  • [1] Certain Integral Transforms of Generalized k-Bessel Function
    Kottakkaran Sooppy Nisar
    Waseem Ahmad Khan
    Mohd Ghayasuddin
    Analysis in Theory and Applications, 2018, 34 (02) : 165 - 174
  • [2] Certain Sequences Involving Product of k-Bessel Function
    Chand M.
    Agarwal P.
    Hammouch Z.
    International Journal of Applied and Computational Mathematics, 2018, 4 (4)
  • [3] Certain fractional kinetic equations involving generalized k-Bessel function
    Singh, Gurmej
    Agarwal, Praveen
    Chand, Mehar
    Jain, Shilpi
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2018, 172 (03) : 559 - 570
  • [4] CERTAIN FRACTIONAL INTEGRALS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION
    Agarwal, Praveen
    Chand, Mehar
    Choi, Junesang
    Singh, Gurmej
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (02): : 423 - 436
  • [5] CERTAIN INTEGRATION FORMULAE FOR THE GENERALIZED k-BESSEL FUNCTIONS AND DELEURE HYPER-BESSEL FUNCTION
    Kim, Yongsup
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (02): : 523 - 532
  • [6] Certain fractional kinetic equations involving the product of generalized k-Bessel function
    Agarwal, Praveen
    Chand, Mehar
    Singh, Gurmej
    ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (04) : 3053 - 3059
  • [7] On monotonic and logarithmic concavity properties of generalized k-Bessel function
    Aktas, Ibrahim
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (01): : 180 - 187
  • [8] CERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION
    Agarwal, P.
    Suthar, D. L.
    Tadesse, Hagos
    Habenom, Haile
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (02): : 167 - 181
  • [9] Eisenstein series and an asymptotic for the K-Bessel function
    Jimmy Tseng
    The Ramanujan Journal, 2021, 56 : 323 - 345
  • [10] INTEGRAL REPRESENTATIONS OF THE k-BESSEL'S FUNCTION
    Gehlot, Kuldeep Singh
    Purohit, Sunil Dutt
    HONAM MATHEMATICAL JOURNAL, 2016, 38 (01): : 17 - 23
12345