Some Hypergeometric Generating Relations Motivated by the Work of Srivastava and Their Generalizations

eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-10-08 6 5 136 147 10.12691/tjant-6-5-3 TJANT2018653 article Some Hypergeometric Generating Relations Motivated by the Work of Srivastava and Their Generalizations M.I. Qureshi 1 Sulakshana Bajaj sulakshana80@ymail.com 2 Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025, India, Department of Applied Sciences and Humanities, Modi Institute of Technology, Rawatbhata Road, Kota, Rajasthan 324010, India In the present paper, we have obtained hypergeometric generating relations associated with two hypergeometric polynomials of one variable and with their independent demonstrations via Gould's identity. As applications, some well known and new generating relations are deduced. Using bounded sequences, further generalizations of two main hypergeometric generating relations have also been given for two generalized polynomials and . http://pubs.sciepub.com/tjant/6/5/3/tjant-6-5-3.pdf Jacobi Polynomials generalized Laguerre polynomial generalized Rice polynomial of Khandekar Gould's identity