DLMF:2.5.E10 (Q786): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:2.5.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu h\mskip 3.0mu \left(z% \right)=\frac{2^{z-1}\Gamma\left(\nu+\frac{1}{2}z\right)}{{\Gamma^{2}}\left(1-% \frac{1}{2}z\right)\Gamma\left(1+\nu-\frac{1}{2}z\right)\Gamma\left(z\right)}% \frac{\pi}{\sin\left(\pi z\right)},}}

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DLMF:2.5.E10

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{\displaystyle{\displaystyle-2\nu<\Re z<1}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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Mellin transform

Defining formula

{\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}

C1.S14.E32.m2agdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1abdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle h(t)={J_{\nu}^{2}}\left(t\right)}}

C2.S5.XMD10.m1dec

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