DLMF:15.12.E7 (Q5167): 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: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier | |||
test: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}\hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}} | |||
| Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier | |||
xml-id: C15.S2.E1.m2abdec | |||
Revision as of 13:24, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:15.12.E7 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{a}{b-\lambda}{c+\lambda}{-z}=2^{b-c+(1/2)}\left(\frac{z+1}{2\sqrt{z}}\right)^{\lambda}\left(\lambda^{a/2}\paraU@{a-\tfrac{1}{2}}{-\alpha\sqrt{\lambda}}\left((1+z)^{c-a-b}z^{1-c}\left(\frac{\alpha}{z-1}\right)^{1-a}+\bigO(\lambda^{-1})\right)+\frac{\lambda^{\ifrac{(a-1)}{2}}}{\alpha}\paraU@{a-\tfrac{3}{2}}{-\alpha\sqrt{\lambda}}\left((1+z)^{c-a-b}z^{1-c}\left(\frac{\alpha}{z-1}\right)^{1-a}-2^{c-b-(\ifrac{1}{2})}\left(\frac{\alpha}{z-1}\right)^{a}+\bigO(\lambda^{-1})\right)\right),}
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