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k-Balanced

A generalized hypergeometric function

_pF_q[alpha_1,alpha_2,...,alpha_p; beta_1,beta_2,...,beta_q;z],

is said to be k-balanced if

sum_(i=1)^qbeta_i=k+sum_(i=1)^palpha_i.

See also

Generalized Hypergeometric Function, Nearly-Poised, Saalschützian, Well-Poised

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References

Koepf, W. Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, p. 43, 1998.

Referenced on Wolfram|Alpha

k-Balanced

Cite this as:

Weisstein, Eric W. "k-Balanced." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/k-Balanced.html

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