DLMF:2.10.E20 (Q1007): Difference between revisions

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Latest revision as of 17:35, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:2.10.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{j=0}^{n-1}\frac{x^{j}}{(j!)^{3}}=\frac{1}{2i% }\int_{\mathscr{C}}\frac{x^{t}}{(\Gamma\left(t+1\right))^{3}}\cot\left(\pi t% \right)\mathrm{d}t,}}

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DLMF:2.10.E20

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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.m2abdec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

C4.S14.E7.m2adec

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Defining formula

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

C1.S4.SS4.m1acdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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Defining formula

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

C1.S9.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3acdec

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Defining formula

{\displaystyle{\displaystyle\mathscr{C}}}

C2.S10.XMD12.m1dec

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Sitelinks

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