On a Formula for the Sum of a Finite Number of Terms of the Hypergeometric Series when the Fourth Element is Equal to Unity
M. J. M. Hill · Proceedings of the London Mathematical Society · 1907
The saies being , a{3 , q (q " • " l ^" ' 2 2!y(y+l) r let a P = a(a+l)... (a+r-1).The (r+D-th term is ^L .Also r!y r a/3 (a + Dr-l r!(y-l) P r!y r ( y -l ) y (r-1)!(y+1),-!' Now, let G{a, (3, y, s) denote the sum of the first (s-f-1) terms of the series.Then