On Some New Results for the q-Series

  • 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)

Resumen

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.

Descargas

La descarga de datos todavía no está disponible.

Biografía del autor/a

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
Publicado
2025-02-04
Sección
Research Articles