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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 ${}_4{}^{}F_3^{}$ 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 ${}_{r+1}{}^{}\varphi _r^{}$ Functions

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Sears’ Balanced ${}_4{}^{}\varphi _3^{}$ Transformations

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5: 18.38 Mathematical Applications

… ►The $6j$ symbol (34.4.3), with an alternative expression as a terminating balanced ${}_4{}^{}F_3^{}$ of unit argument, can be expressend in terms of Racah polynomials (18.26.3). …

6: Bibliography M

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Balanced ${}_3{}^{}\Theta _2^{}$ summation theorems for $U(n)$ basic hypergeometric series. Adv. Math. 131 (1), pp. 93–187.

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External Links:

ISSN 0001-8708, Document, MathReview (Jiang Zeng), ZentralBlatt

Referenced by:

§17.15.

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