主题
Search

良好态势

一个 广义超几何函数

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

被称为是良好态势的，如果 p=q+1 并且

1+alpha_1=beta_1+a_2=...=beta_q+alpha_(q+1).

参见

广义超几何函数, k-平衡, 近乎良好态势, Saalschützian

使用 Wolfram|Alpha 探索

参考文献

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.

在 Wolfram|Alpha 中被引用

良好态势

引用为

Weisstein, Eric W. "良好态势。" 来自 MathWorld--一个 Wolfram 网络资源。 https://mathworld.net.cn/Well-Poised.html

主题分类