On Some New Results for the q-Series

Autores

  • Asmaa Orabi Mohammed Department of Mathematics Faculty of Science Suez Canal University
  • Harsh Vardhan Harsh Department of Mathematics, The ICFAI University
  • Medhat A. Rakha Department of Mathematics, Faculty of Science, Suez Canal University
  • Arjun K. Rathie Department of Mathematics, Vedant College of Engineering & Technology, (Rajasthan Technical University)

DOI:

https://doi.org/10.5269/bspm.62688

Resumo

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.

Biografia do Autor

  • Asmaa Orabi Mohammed, Department of Mathematics Faculty of Science Suez Canal University
    Department of Mathematics
  • Harsh Vardhan Harsh, Department of Mathematics, The ICFAI University
    Department of Mathematics, The ICFAI University, Jaipur Agra Road, Jamdoli, Near Cambay Golf Resort, Jaipur-302031, Rajasthan State - INDIA
  • Medhat A. Rakha, Department of Mathematics, Faculty of Science, Suez Canal University
    Department of Mathematics, Faculty of Science, Suez Canal University, El-Sheik Zayed 41522, Ismailia - EGYPT
  • Arjun K. Rathie, Department of Mathematics, Vedant College of Engineering & Technology, (Rajasthan Technical University)
    Department of Mathematics, Vedant College of Engineering & Technology, (Rajasthan Technical University), Village: Tulsi, Post: Jakhmund, District: Bundi , Rajasthan State - INDIA

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Publicado

2025-02-04

Edição

v. 43 (2025)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Como Citar

Mohammed, A. O., Vardhan Harsh, H. ., A. Rakha, M., & K. Rathie, A. (2025). On Some New Results for the q-Series. Boletim Da Sociedade Paranaense De Matemática, 43, 1-15. https://doi.org/10.5269/bspm.62688
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