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1: 17.4 Basic Hypergeometric Functions
The series (17.4.1) is said to be balanced or Saalschützian when it terminates, r = s , z = q , and … The series (17.4.1) is said to be k-balanced when r = s and …
2: 16.4 Argument Unity
Balanced F 3 4 ( 1 ) series have transformation formulas and three-term relations. … Contiguous balanced series have parameters shifted by an integer but still balanced. … …
3: Bibliography M
  • S. C. Milne (1997) Balanced Θ 2 3 summation theorems for U ( n ) basic hypergeometric series. Adv. Math. 131 (1), pp. 93–187.