# CERTAIN INTEGRALS INVOLVING THE PRODUCT OF GAUSSIAN HYPERGEOMETRIC FUNCTION AND ALEPH FUNCTION

• Suthar, D.L. (Department of Mathematics, Wollo University, Dessie Campus) ;
• Agarwal, S. (Department of Mathematics, Poornima University) ;
• Kumar, Dinesh (Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University of Jodhpur)
• 투고 : 2017.05.28
• 심사 : 2019.01.21
• 발행 : 2019.03.25
• 361 17

#### 초록

The aim of this paper is to establish certain integrals involving product of the Aleph function with exponential function and multi Gauss's hypergeometric function. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, twelve corollaries are also recorded here as special case of our main results.

#### 키워드

Aleph function;Hypergeometric function;H-Function;I-function;Mellin-Barnes type contour integral

#### 참고문헌

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