DLMF:15.9.E13 (Q5103)

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Language	Label	Description	Also known as
English	DLMF:15.9.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle f(t)=\frac{1}{2\pi\mathrm{i}}\int_{-\mathrm{i}% \infty}^{\mathrm{i}\infty}\widetilde{f}(\mathrm{i}\lambda)\Phi^{(\alpha,\beta)% }_{\mathrm{i}\lambda}(t)\frac{\Gamma\left(\tfrac{1}{2}(\alpha+\beta+1+\lambda)% \right)\Gamma\left(\tfrac{1}{2}(\alpha-\beta+1+\lambda)\right)}{\Gamma\left(% \alpha+1\right)\Gamma\left(\lambda\right)2^{\alpha+\beta+1-\lambda}}\mathrm{d}% \lambda,}}

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DLMF:15.9.E13

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Defining formula

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

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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Defining formula

{\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}

introduction.Sx4.p1.t1.r29.m6adec

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Defining formula

{\displaystyle{\displaystyle f(t)}}

C15.S9.XMD1.m1adec

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function (locally)

Defining formula

{\displaystyle{\displaystyle\Phi^{(\alpha,\beta)}_{\lambda}(t)}}

C15.S9.XMD2.m1dec

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