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Turkish Journal of Mathematics

Authors

WENCHANG CHU

Abstract

The classical Gaussian $_2F_1$-series containing two free variables $\{x,y\}$ and two integer parameters $\{m,n\}$ are investigated by the linearization method. Several closed formulae are derived in terms of trigonometric functions. Some of them are lifted up, via a trigonometric integral approach, to identities of nonterminating $_3F_2$-series.

DOI

10.3906/mat-1810-27

Keywords

Classical hypergeometric series, Pfaff-Saalsch summation theorem, linearization method, Gould-Hsu inversions, trigonometric integral approach

First Page

1823

Last Page

1836

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