## H.M. Srivastava, M.I. Qureshi, S.H. Malik, Some hypergeometric transformations and reduction formulas for the Gauss function and their applications involving the Clausen function

Full Text: PDF
DOI: 10.23952/jnva.5.2021.6.10

Volume 5, Issue 6, 1 December 2021, Pages 981-987

Abstract. The aim of this paper is to obtain some closed forms of hypergeometric reduction formulas for the following Gauss functions ${}_2F_1\left[\alpha,\alpha+\frac{1}{2};2\alpha-1;z\right]$ and ${_{2}F_{1}} \left[\alpha-1,\alpha-\frac{3}{2};2\alpha-1;z\right]$, and the Clausen function: ${_{3}F_{2}}\left[\gamma+1,\beta,\beta+\frac{1}{2}; \gamma,2\beta;z\right]$ by using the series rearrangement technique.