DLMF:8.21.E16 (Q2738): Difference between revisions

Revision as of 14:17, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:8.21.E16	No description defined

{\displaystyle{\displaystyle\mathrm{Si}\left(a,z\right)=z^{a}\sum_{k=0}^{% \infty}\frac{\left(2k+\frac{3}{2}\right){\left(1-\frac{1}{2}a\right)_{k}}}{{% \left(\frac{1}{2}+\frac{1}{2}a\right)_{k+1}}}\mathsf{j}_{2k+1}\left(z\right),}}

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DLMF:8.21.E16

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{\displaystyle{\displaystyle a\neq-1,-3,-5,\dots}}

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{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1adec

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{\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{a},\NVar{z}\right)}}

C8.S21.E2.m3afdec

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@@ Property / Symbols used @@
+generalized sine integral
@@ Property / Symbols used: generalized sine integral / rank @@
+Normal rank
@@ Property / Symbols used: generalized sine integral / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{a},\NVar{z}\right)}}$ 
\gensinint@{\NVar{a}}{\NVar{z}}
@@ Property / Symbols used: generalized sine integral / qualifier @@
+xml-id: C8.S21.E2.m3afdec