DLMF:15.12.E9 (Q5169): Difference between revisions
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imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
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| Property / Symbols used | |||
| Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / qualifier | |||
test: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}\hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}} | |||
| Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / qualifier | |||
xml-id: C15.S2.E2.m2aadec | |||
Revision as of 13:25, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:15.12.E9 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (z+1)^{3\lambda/2}(2\lambda)^{c-1}\hyperOlverF@@{a+\lambda}{b+2\lambda}{c}{-z}={\lambda^{-1/3}\left(e^{\pi\iunit(a-c+\lambda+(1/3))}\AiryAi@{e^{-\ifrac{2\pi\iunit}{3}}\lambda^{\ifrac{2}{3}}\beta^{2}}+e^{\pi\iunit(c-a-\lambda-(1/3))}\AiryAi@{e^{\ifrac{2\pi\iunit}{3}}\lambda^{\ifrac{2}{3}}\beta^{2}}\right)\left(a_{0}(\zeta)+\bigO(\lambda^{-1})\right)}+\lambda^{-2/3}\left(e^{\pi\iunit(a-c+\lambda+(2/3))}\AiryAi'@{e^{-\ifrac{2\pi\iunit}{3}}\lambda^{\ifrac{2}{3}}\beta^{2}}+e^{\pi\iunit(c-a-\lambda-(2/3))}\AiryAi'@{e^{\ifrac{2\pi\iunit}{3}}\lambda^{\ifrac{2}{3}}\beta^{2}}\right)\left(a_{1}(\zeta)+\bigO(\lambda^{-1})\right),}
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