DLMF:2.10.E16 (Q1003): 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.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle S(\alpha,\beta,n)=\frac{e^{i\beta}}{e^{i\beta}-1}% \left(e^{i(n-1)\beta}n^{\alpha}-\alpha S(\alpha-1,\beta,n)+O\left(n^{\alpha-1}% \right)+O\left(1\right)\right).}}

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DLMF:2.10.E16

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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Defining formula

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

C1.S9.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle S(\alpha,\beta,n)}}

C2.S10.XMD11.m1cdec

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