Turkish Journal of Analysis and Number Theory. 2014, 2(4), 130-133
DOI: 10.12691/tjant-2-4-5
Open AccessArticle
Harmendra Kumar Mandia1, and Yashwant Singh2,
1Department of Mathematics, Seth Motilal (P.G.) College, Jhunjhunu, Rajasthan, India
2Department of Mathematics,Government College, Kaladera, Jaipur, Rajasthan , India
Pub. Date: August 15, 2014
Cite this paper:
Harmendra Kumar Mandia and Yashwant Singh. On an Integral Involving Bessel Polynomials and
-Function of Two Variables and Its Application. Turkish Journal of Analysis and Number Theory. 2014; 2(4):130-133. doi: 10.12691/tjant-2-4-5
Abstract
This paper deals with the evaluation of an integral involving product of Bessel polynomials and
-function of two variables. By making use of this integral the solution of the time-domain synthesis problem is investigated.Keywords:
-function of two variables Bessel polynomials Mellin-Barnes type integral Time-domain synthesis problemH-function of two variables
This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit
http://creativecommons.org/licenses/by/4.0/
References:
[1] | Bajpai, S.D. and Al-Hawaj, A.Y.; Application of Bessel polynomials involving generalized hypergeometric functions, J.Indian Acad. Math., vol.13 (1), (1991), 1-5. |
|
[2] | Erdelyi, A. et. al.; Higher Transcendental Functions, vol.1, McGraw-Hill, New York, 1953. |
|
[3] | Erdelyi, A. et. al.; Tables of Integral Transforms, vol.2, McGraw-Hill, New York, 1954. |
|
[4] | Exton, H.; Handbook of Hypergeometric Integrals, ELLIS Harwood Ltd., Chichester, 1978. |
|
[5] | Inayat-Hussain, A.A.; New properties of hypergeometric series derivable from Feynman integrals: II A generalization of the H-function, J. Phys. A. Math. Gen. 20 (1987). |
|
[6] | Mathai, A.M. and Saxena, R.K.; Lecture Notes in Maths. 348, Generalized Hypergeometric Functions With Applications in Statistics and Physical Sciences, Springer-Verlag, Berlin, 1973. |
|
[7] | Mittal, P.K. and Gupta, K.C.; An integral involving generalized function of two variables. Proc. Indian Acad. Sci. Sect. A( 75), (1961), 67-73. |
|
[8] | Singh,Y. and Mandia, H. ; A study of -function of two variables, International Journal of Innovative research in science, engineering and technology,Vol.2,(9),(2013), 4914-4921. |
|