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

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Revision as of 14:17, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:17, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q11323
		Property / Symbols used: Q11323 / rank
			Normal rank
		Property / Symbols used: Q11323 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11323 / qualifier
			xml-id: C8.S1.XMD2.m1ldec
		Property / Symbols used
			Q11324
		Property / Symbols used: Q11324 / rank
			Normal rank
		Property / Symbols used: Q11324 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q11324 / qualifier
			xml-id: C8.S1.XMD3.m1mdec
		Property / Symbols used
			Q11330
		Property / Symbols used: Q11330 / rank
			Normal rank
		Property / Symbols used: Q11330 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11330 / qualifier
			xml-id: C8.S1.XMD5.m1bdec

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Latest 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

Statements

Defining formula

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

0 references

DLMF id

DLMF:8.21.E16

0 references

constraint

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

0 references

Symbols used

Q10759

Defining formula

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

xml-id

C5.S2.SS3.m1adec

0 references

generalized sine integral

Defining formula

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

xml-id

C8.S21.E2.m3afdec

0 references

spherical Bessel function of the first kind

Defining formula

${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$

xml-id

C10.S47.E3.m2adec

0 references

Q11323

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C8.S1.XMD2.m1ldec

0 references

Q11324

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C8.S1.XMD3.m1mdec

0 references

Q11330

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C8.S1.XMD5.m1bdec

0 references

 

Sitelinks

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