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http://dx.doi.org/10.5831/HMJ.2016.38.1.17

INTEGRAL REPRESENTATIONS OF THE k-BESSEL'S FUNCTION  

Gehlot, Kuldeep Singh (Government College Jodhpur)
Purohit, Sunil Dutt (Department of HEAS (Mathematics), Rajasthan Technical University)
Publication Information
Honam Mathematical Journal / v.38, no.1, 2016 , pp. 17-23 More about this Journal
Abstract
This paper deals with the study of newly defined special function known as k-Bessel's function due to Gehlot [2]. Certain integral representations of k-Bessel's function are investigated. Known integrals of classical Bessel's function are seen to follow as special cases of our main results.
Keywords
k-Gamma function; k-Pochhammer symbols; k-Bessel function;
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  • Reference
1 R. Diaz and E. Pariguan, On hypergeometric functions and Pochhammer k-symbol, Divulgaciones Mathematicas 15(2) (2007), 179-192.
2 K. S. Gehlot, Differential Equation of k-Bessel's Function and its Properties, Nonl. Anal. Diff. Eq. 2(2) (2014), 61-67.
3 K. S. Gehlot, Recurrence relations of k-Bessel's function, Thai J. Math. (2015), Accepted.
4 K. S. Gehlot and S. D. Purohit, Fractional calculus of k-Bessel's function, Acta Univ. Apulensis, Math. Inform. 38 (2014), 273-278.
5 Earl D. Rainville, Special Functions, The Macmillan Company, New York, 1963.