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2022, vol. 26, iss. 1, pp. 2736

Certain integral representations involving hypergeometric functions in two variables
^{a}Aden University, Department of Mathematics, Aden, Yemen ^{b}Poornima College Engineering, Department of Mathematics, Jaipur, India ^{c}Anand International College of Engineering, Department of Mathematics, Jaipur, India + Ajman University, Nonlinear Dynamics Research Center, Ajman UAE + Netaji Subhas University of Technology, New Delhi, India + HarishChandra Research Institute (HRI), Allahabad, India ^{d}University of Jordan, Faculty of Science, Department of Mathematics, Amman, Jordan
email: jihadalsaqqaf@gmail.com, shilpijain1310@gmail.com, goyal.praveen2011@gmail.com, s.momani@ju.edu.jo
Project: Shilpi Jain very thankful to SERB (project number: MTR/2017/000194) for providing necessary facility and Praveen Agarwal thanks the SERB (project TAR/2018/000001),DST (projects DST/INT/DAAD/P21/2019 and INT/RUS/RFBR/308), and NBHM (DAE) (project 02011/12/2020 NBHM (R.P)/RD II/7867).
Keywords: Beta function; Horn double functions; Appell functions; Eulerian integrals
Abstract
Various integral representations of hypergeometric functions have been introduced and investigated due to their important applications in divers fields. In this article, we define some new Eulertype integral representations for the Horn's functions of two variables G1, G2, G3 and H1.



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