Double Series Identity and Some Laurent Type Hypergeometric Generating Relations
Received:November 22, 2019  Revised:March 17, 2020
Key Word: generalized hypergeometric functions   Laurent type generating relations   double series identity  
Fund ProjectL:This work has been sponsored by Dr. D. S. Kothari Post Doctoral Fellowship (Award letter No.F.4-2/2006(BSR)/MA/17-18/0025) awarded to Dr. Mahvish Ali by the University Grants Commission, Government of India, New Delhi.
Author NameAffiliation
Mohammad Idris QURESHI Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, India 
Mahvish ALI Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, India 
Dilshad AHAMAD Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, India 
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Abstract:
      The main aim of this article is to obtain certain Laurent type hypergeometric generating relations. Using a general double series identity, Laurent type generating functions (in terms of Kamp\'{e} de F\'{e}riet double hypergeometric function) are derived. Some known results obtained by the method of Lie groups and Lie algebras, are also modified here as special cases.
Citation:
DOI:10.3770/j.issn:2095-2651.2020.05.004
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