On some new results for the q-series

This paper deals with some new results for the q-series. The paper is divided into four sections. In section two, we aim to establish three interesting results closely related to the q-analogue of the Kummer's second summation theorem obtained earlier by Srivastava and Jain. As limiting cases, we recover known results obtained earlier by Kim, et al.. In third section , we obtain a q-contiguous quadratic transformation formula closely related to q-quadratic transformation formula obtained earlier by Jain. As limiting case, we recover a known result obtained earlier by Kim and Rathie. In fourth section, an attempt has been made to obtain a q-contiguous result closely related to Reed Dawson identity obtained earlier by Andrews. As limiting case, we recover a result due to Choi, er al. An application of our results are given in section fifth.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-04
DOI
https://doi.org/10.5269/bspm.62688
Primary Topic
Advanced Mathematical Identities
Type
article
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article

On some new results for the q-series

Medhat A. Rakha, Arjun K. Rathie, Asmaa O. Mohammed, Harsh Vardhan Harsh
Boletim da Sociedade Paranaense de Matemática
Advanced Mathematical Identities
article

On some new results for the q-series

Medhat A. Rakha, Arjun K. Rathie, Asmaa O. Mohammed, Harsh Vardhan Harsh
article en

Abstract

This paper deals with some new results for the q-series. The paper is divided into four sections. In section two, we aim to establish three interesting results closely related to the q-analogue of the Kummer's second summation theorem obtained earlier by Srivastava and Jain. As limiting cases, we recover known results obtained earlier by Kim, et al.. In third section , we obtain a q-contiguous quadratic transformation formula closely related to q-quadratic transformation formula obtained earlier by Jain. As limiting case, we recover a known result obtained earlier by Kim and Rathie. In fourth section, an attempt has been made to obtain a q-contiguous result closely related to Reed Dawson identity obtained earlier by Andrews. As limiting case, we recover a result due to Choi, er al. An application of our results are given in section fifth.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Suez Canal University (EG), Rajasthan Technical University (IN), Institute of Chartered Financial Analysts of India University, Jaipur (IN)
Openalex Percentile: Top 94%
Advanced Mathematical Identities
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