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1: 16.4 Argument Unity
When k = 1 the function is said to be balanced or Saalschützian. …
Pfaff–Saalschütz Balanced Sum
Contiguous balanced series have parameters shifted by an integer but still balanced. … …
2: 16.24 Physical Applications
These are balanced F 3 4 functions with unit argument. …
3: 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 …
4: 17.9 Further Transformations of ϕ r r + 1 Functions
Sears’ Balanced ϕ 3 4 Transformations
5: 18.38 Mathematical Applications
The 6 j symbol (34.4.3), with an alternative expression as a terminating balanced F 3 4 of unit argument, can be expressend in terms of Racah polynomials (18.26.3). …
6: 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.