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.
Authors
- Medhat A. Rakha (ORCID: https://orcid.org/0000-0002-5542-6194)
- Arjun K. Rathie (ORCID: https://orcid.org/0000-0003-3902-3050)
- Asmaa O. Mohammed (ORCID: https://orcid.org/0000-0002-1938-6033)
- Harsh Vardhan Harsh
Institutions
- Suez Canal University (EG)
- Rajasthan Technical University (IN)
- Institute of Chartered Financial Analysts of India University, Jaipur (IN)
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
- Field-Weighted Citation Impact
- 0.00