Well-Poised
A generalized hypergeometric function
![👁 _pF_q[alpha_1,alpha_2,...,alpha_p; beta_1,beta_2,...,beta_q;z]](https://mathworld.wolfram.com/images/equations/Well-Poised/NumberedEquation1.svg){kind=link}
is said to be well-poised if 👁 p=q+1
and
See also
Generalized Hypergeometric Function, k-Balanced, Nearly-Poised, SaalschützianExplore with Wolfram|Alpha
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References
Bailey, W. N. Generalised Hypergeometric Series. Cambridge, 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.Whipple, F. J. W. "On Well-Poised Series, Generalized Hypergeometric Series Having Parameters in Pairs, Each Pair with the Same Sum." Proc. London Math. Soc. 24, 247-263, 1926.Whipple, F. J. W. "Well-Poised Series and Other Generalized Hypergeometric Series." Proc. London Math. Soc. Ser. 2 25, 525-544, 1926.Referenced on Wolfram|Alpha
Well-PoisedCite this as:
Weisstein, Eric W. "Well-Poised." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Well-Poised.html