INTEGRAL REPRESENTATIONS OF EULER-TYPE FOR THE QUADRUPLE HYPERGEOMETRIC FUNCTIONS F(4)20.

The authors establish a set of fifteen new integral representations of Euler-type for the Sharma and Parihar hypergeometric function in four variables F(4)20; whose kernels include the quadruple functions K1;K10; F(4)14 and X(4)8; the Exton hypergeometric functions of three variables X4; the Lauricella functions of three variable FE; FN and FR; the Appell's series of two variables F2; F3 and F4; and the Gauss hypergeometric function. [ABSTRACT FROM AUTHOR]