On Some New Results for the q-Series

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.