Terminating ₂𝐹₁(4)-series perturbed by two integer parameters

Chu, Wenchang

doi:10.1090/proc/13293

Terminating ${}_2F_1(4)$-series perturbed by two integer parameters
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Proc. Amer. Math. Soc. 145 (2017), 1031-1040 Request permission

Abstract:

By means of generating functions and the linearization method, we establish analytical formulae for a class of terminating $_2F_1(4)$-series perturbed by two integer parameters. Under the Pfaff transformation, these formulae confirm, unexpectedly, a conjecture about evaluation of the $_2F_1(-3)$-series made by Apagodu and Zeilberger (2008).

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