论文信息 - CERTAIN MULTIPLE INTEGRAL RELATIONS INVOLVING GENERALIZED MELLIN-BARNES TYPE OF CONTOUR INTEGRAL

CERTAIN MULTIPLE INTEGRAL RELATIONS INVOLVING GENERALIZED MELLIN-BARNES TYPE OF CONTOUR INTEGRAL

A remarkably large number of integrals involving a product of the variety of special functions have been investigated by many authors. Motivated by these avenues of works,very recently,Agarwal (Tamsui Oxf. J. Inf. Math. Sci.,27(4) (2011), 449-462) gave two interesting unified integral relations involving the product of the multivariable polynomial and two generalized Mellin-Barnes type of contour integrals. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present two generalized integral relations involving the product of the two H-functions due to Inayat-Hussain. Next, by suitably specializing the function f in the first integral relation, we have evaluated a multiple integral which is new and quite general in nature.Moreover, results for some particular values of the parameters are also pointed out. 2000 Mathematics Subject Classification: Primary 33C20, 33C60, 33C70.

Praveen Agarwal | P. Agarwal

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