Fractional integral operators involving a general class of polynomials
| dc.contributor.author | Srivastava, H.M. | |
| dc.contributor.author | Goyal, S. P. | |
| dc.contributor.author | Jain, R. M. | |
| dc.date.accessioned | 2009-08-14T21:44:07Z | |
| dc.date.available | 2009-08-14T21:44:07Z | |
| dc.date.copyright | 1987 | en |
| dc.date.issued | 2009-08-14T21:44:07Z | |
| dc.description.abstract | In the present paper the authors derive a number of interesting expressions for the composition of certain multidimensional fractional integral operators involving a general class of polynonials with essentially arbitrary coefficients. It is shown how these fractional integral operators can be identified with elements of the algebra of functions having the multidimensional Mellin convolution as the product. Inversion formulas for the multidimensional fractional integrals are also established. The fractional integral operators studied here are fairly general in character, since (by suitably specializing the coefficients involved) the general class of polynomials can be reduced to each of the classical orthogonal polynomials, the Bessel polynomials, and numerous other classes of generalized hypergeometric polynomials studied in the literature. | en |
| dc.description.sponsorship | NSERC Grant A7353 and University Grants Commission for India | en |
| dc.identifier.uri | http://hdl.handle.net/1828/1514 | |
| dc.language.iso | en | en |
| dc.relation.ispartofseries | DM-433-IR | en |
| dc.subject | technical reports (mathematics and statistics) | |
| dc.subject.department | Department of Mathematics | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Fractional integral operators involving a general class of polynomials | en |
| dc.type | Technical Report | en |