Unit-shift in arguments of transformed generalized hypergeometric functions: The case of 4F3(β, −1/2 , 1, 3/2; β+σ, 1/2 , 3; z)
Abstract
The function 4F3(β, −1/2 , 1, 3/2 ; β+σ, 1/2, 3; z) is shown to have a transformation equation in terms of 2F1(1−z), which is a unit-shift in argument. Subsequently, a new closed form expression for the 4F3 at unit argument is found.
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