| Double Series Identity and Some Laurent Type Hypergeometric Generating Relations |
| Received:November 22, 2019 Revised:March 17, 2020 |
| Key Words:
generalized hypergeometric functions Laurent type generating relations double series identity
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| Fund Project: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 Name | Affiliation | | 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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