Some evaluations for the generalized hypergeometric series

Whipple's theorem on the sum of a 3 F2 (1) plays a key role in obtaining a family of summation formulas for the generalized hypergeometric series of unit argument. 1. Introduction and Main Result. The object of this paper is to put on record a family of evaluation formulas for the generalized hypergeometric series of unit argument, in terms of the logarithmic derivative of the gamma function +(z)= d(ln F(z))/dz and the polygamma function 4(/)(z) = d'4i(z)/dzn. These results are: