DLMF:18.18.E11 (Q5801): Difference between revisions

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Revision as of 01:23, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:23, 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
			Q11726
		Property / Symbols used: Q11726 / rank
			Normal rank
		Property / Symbols used: Q11726 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11726 / qualifier
			xml-id: C18.S1.XMD6.m1jdec
		Property / Symbols used
			DLMF:18.18.E1
		Property / Symbols used: DLMF:18.18.E1 / rank
			Normal rank
		Property / Symbols used: DLMF:18.18.E1 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a_{n}}}$ a_{n}
		Property / Symbols used: DLMF:18.18.E1 / qualifier
			xml-id: C18.S18.XMD3.m1cdec
		Property / Symbols used
			Q11727
		Property / Symbols used: Q11727 / rank
			Normal rank
		Property / Symbols used: Q11727 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11727 / qualifier
			xml-id: C18.S2.XMD3.m1gdec

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Latest revision as of 01:23, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:18.18.E11	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{(a_{1}^{2}+\dots+a_{r}^{2})^{\frac{1}{2}n}}{n!}H_{n}\left(\frac{a_{1}x_{1}+\cdots+a_{r}x_{r}}{(a_{1}^{2}+\cdots+a_{r}^{2})^{\frac{1}{2}}}\right)=\sum_{m_{1}+\cdots+m_{r}=n}\frac{a_{1}^{m_{1}}\cdots a_{r}^{m_{r}}}{m_{1}!\cdots m_{r}!}H_{m_{1}}\left(x_{1}\right)\cdots H_{m_{r}}\left(x_{r}\right).}}$

0 references

DLMF id

DLMF:18.18.E11

0 references

Symbols used

Q10922

Defining formula

${\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}$

xml-id

C18.S3.T1.t1.r13.m2abdec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5aedec

0 references

Q11730

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C18.S1.XMD5.m1adec

0 references

Q11726

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C18.S1.XMD6.m1jdec

0 references

DLMF:18.18.E1

Defining formula

${\displaystyle{\displaystyle a_{n}}}$

xml-id

C18.S18.XMD3.m1cdec

0 references

Q11727

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C18.S2.XMD3.m1gdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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