Generalization of Classical Summation Relation of Certain Appell’s Double Hypergeometric Functions Associated with Theory of Approximation

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Madhav Prasad Poudel, Narayan Prasad Pahari, Suresh Kumar Sahani, Ganesh Bahadur Basnet, Resham Prasad Poudel

Abstract

In this research note, we have obtained some new classical summation relations of certain Appell’s double hypergeometric functions associated with theory of approximation. This novel relation include, as special case, a set of well-known results. It studies the famous works of the authors [1], [2], [14], [15], [33] –[38].

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Author Biography

Madhav Prasad Poudel, Narayan Prasad Pahari, Suresh Kumar Sahani, Ganesh Bahadur Basnet, Resham Prasad Poudel

Madhav Prasad Poudel1,Narayan Prasad Pahari2, Suresh Kumar Sahani*3, Ganesh Bahadur Basnet4, & Resham Prasad Poudel5

1School of Engineering, Pokhara University, Pokhara-30, Kaski, Nepal

1pdmadav@gmail.com

2Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal

2nppahari@gmail.com

*3Department of Mathematics,  Janakpur Campus, Tribhuvan University, Janakpurdham, Nepal

3sureshkumarsahani35@gmail.com

4,5Department of Mathematics, Tribhuvan University, Tri-Chandra Campus, Kathmandu, Nepal

4gbbmath@gmail.com,  and 5reshamprdpaudel@gmail.com

Corresponding author:    Suresh Kumar Sahani*3

Corresponding author  Email: sureshkumarsahani35@gmail.com