Certain q-series identities

Praveen Agarwal; Shilpi Jain; Junesang Choi

doi:10.1007/s13398-016-0281-7

Certain q-series identities

Praveen Agarwal
, Shilpi Jain
, Junesang Choi

International College of Engineering
Poornima College of Engineering
Dongguk University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper, we choose to investigate some interesting and useful identities found in the ‘Lost’ notebook of Ramanujan and give their generalizations by using the well-known q-binomial theorem. We also consider some special cases of our main results presented here, some of which are indicated to have relevant connections with those involving relatively simpler and earlier identities.

Original language	English
Pages (from-to)	139-146
Number of pages	8
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	111
Issue number	1
DOIs	https://doi.org/10.1007/s13398-016-0281-7
State	Published - 1 Jan 2017
Externally published	Yes

Keywords

Basic q-hypergeometric series
Continued fractions
q-Identities

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10.1007/s13398-016-0281-7

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KW - Continued fractions

KW - q-Identities

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Certain q-series identities

Abstract

Keywords

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