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.