ABSTRACT
Saalschu¨tzian A GENERALIZED HYPERGEOMETRIC FUNCTION
pFq a1; a2; . . . ; ap b1; b2; . . . ; bq
; z
;
is said to be Saalschu¨tzian if it is K -BALANCED with k1,
bi1 Xp i1
ai:
See also GENERALIZED HYPERGEOMETRIC FUNCTION, K -BALANCED, NEARLY-POISED, WELL-POISED
References Bailey, W. N. Generalised Hypergeometric Series. Cam-
bridge, England: Cambridge University Press, p. 11, 1935. Koepf, W. Hypergeometric Summation: An Algorithmic
Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, p. 43, 1998.