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- W4287613186 abstract "The cumulative distribution function of the non-central chi-square distribution $chi_nu'^2(lambda),, nuinmathbb{R}^+$ possesses an integral representation in terms of a generalized Marcum $Q$-function. Regarding some already known results, here we derive a simpler form of the cumulative distribution function for $nu = 2n inmathbb{N}$ degrees of freedom. Also, we express these representations in terms of an incomplete Fox-Wright function ${}_pPsi_q^{(gamma)}$ and the generalized incomplete hypergeometric functions concerning the important special cases as ${}_1Gamma_1,, {}_2Gamma_1$ and ${}_2gamma_1$. New identities are established between ${}_1Gamma_1$ and ${}_2Gamma_1$ as well." @default.
- W4287613186 created "2022-07-25" @default.
- W4287613186 creator A5044440588 @default.
- W4287613186 creator A5080528362 @default.
- W4287613186 date "2020-11-02" @default.
- W4287613186 modified "2023-09-27" @default.
- W4287613186 title "CDF of non-central $chi^2$ distribution revisited. Incomplete hypergeometric type functions approach" @default.
- W4287613186 doi "https://doi.org/10.48550/arxiv.2011.01432" @default.
- W4287613186 hasPublicationYear "2020" @default.
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