Open AccessCertain multiple integral relations involving multivariable $ H $-function and general polynomials
Author(s) -
O. P. Garg,
Virendra Kumar
Publication year - 2001
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.32.2001.340
Subject(s) - multivariable calculus , mathematics , lemma (botany) , function (biology) , pure mathematics , multiple integral , daniell integral , improper integral , algebra over a field , integral equation , mathematical analysis , singular integral , ecology , poaceae , control engineering , evolutionary biology , engineering , biology
In this paper, first we obtain a finite integral involving multivariable $ H $-function and general classes of polynomials. Next, with the application of this and a lemma due to Srivastava et al. (1981) we obtain two general multiple integral relations involving the multivariable $ H $-function, general classes of polynomials and two arbitrary function $ f $ and $ g $. Again, by suitably specializing the functions $ f $ and $ g $ occurring in the main integral relations, we have also evaluated multiple integrals which are new and quite general in nature