DLMF:12.7.E12 (Q4135): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:12.7.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle u_{1}(a,z)=e^{-\tfrac{1}{4}z^{2}}M\left(\tfrac{1}% {2}a+\tfrac{1}{4},\tfrac{1}{2},\tfrac{1}{2}z^{2}\right)=e^{\tfrac{1}{4}z^{2}}M% \left(-\tfrac{1}{2}a+\tfrac{1}{4},\tfrac{1}{2},-\tfrac{1}{2}z^{2}\right),}}

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DLMF:12.7.E12

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Symbols defined

solution (locally)

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$$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

C13.S2.E2.m2adec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2agdec

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Defining formula

{\displaystyle{\displaystyle z}}

C12.S1.XMD3.m1kdec

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Defining formula

{\displaystyle{\displaystyle a}}

C12.S1.XMD6.m1dec

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Sitelinks

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