Inversion of an Integral Involving a Product of General Class of Polynomials and H-function as Kernel
Author Affiliations
- 1Department of Mathematics, Govt. Model Science College, Jabalpur, MP, INDIA
- 2Department of Mathematics, Govt. Model Science College, Jabalpur, MP, INDIA
Res. J. Mathematical & Statistical Sci., Volume 1, Issue (2), Pages 4-6, March,12 (2013)
Abstract
Solution for a certain convolution integral equation of Fredholm types whose kernel involves a product of general class of polynomials and -function has been obtained. The main result is believed to be general and unified in nature. A number of results follow as special cases by specializing the parameters of the general class of polynomials and -function.
References
- Mishra P.P. and Shrivastava R., Inversion of an integral involving a product of generalized hypergeometric function and Fox’s -function as kernel, Reflection des ERA, 6, 367-376 (2011)
- Lala A. and Shrivastava P.N., Bull. Calcutta Math. Soc., 82, 115 (1990)
- Goyal S.P. and Salim Tariq O., Inversion of an integral involving a product of general class of polynomials and Fox’s -function askernel, Proc. Nat. Acad. Sci. India, 69(A), 69-76 (1999)
- Shrivastava R.J., Math. Anal. Appl., 186, 14 (1994)
- Srivastava H.M., A contour integral involving Fox’s -function, Indian J. Math., 14, 1-6 (1972)
- Inayat-Hussain A.A., New Properties of Hypergeometric Series Derivable from Feynman Integrals: II A Generalization of the -function, J. Phys. A. Math. Gen. 20 (1987)
- Bushman R.G. and Srivastava H.M., The – function associated with a certain class of Feynman integrals, J. Phys. A: Math. Gen., 23 4707-4710 (1990)
- Rathie A.K., le Mathematiche Fasc II, 52, 297-310 (1997)
- Erdelyi A., Magnus W., Oberhittinger F. and Tricomi F.G., Tables of integral Transforms, 1, Mc-Graw Hill, New York, 307 (1954)