DLMF:12.7.E2 (Q4125): Difference between revisions

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Revision as of 15:11, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:11, 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
			Q11513
		Property / Symbols used: Q11513 / rank
			Normal rank
		Property / Symbols used: Q11513 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11513 / qualifier
			xml-id: C12.S1.XMD3.m1adec
		Property / Symbols used
			Q11518
		Property / Symbols used: Q11518 / rank
			Normal rank
		Property / Symbols used: Q11518 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11518 / qualifier
			xml-id: C12.S1.XMD4.m1dec

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Latest revision as of 15:11, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:12.7.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle U\left(-n-\tfrac{1}{2},z\right)=D_{n}\left(z\right)=e^{-\frac{1}{4}z^{2}}\mathit{He}_{n}\left(z\right)=2^{-n/2}e^{-\frac{1}{4}z^{2}}H_{n}\left(z/\sqrt{2}\right),}}$

0 references

DLMF id

DLMF:12.7.E2

0 references

constraint

${\displaystyle{\displaystyle n=0,1,2,\dots}}$

0 references

Symbols used

Q10922

Defining formula

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

xml-id

C18.S3.T1.t1.r13.m2adec

0 references

Q11525

Defining formula

${\displaystyle{\displaystyle\mathit{He}_{\NVar{n}}\left(\NVar{x}\right)}}$

xml-id

C18.S3.T1.t1.r14.m2adec

0 references

Q11515

Defining formula

${\displaystyle{\displaystyle D_{\NVar{\nu}}\left(\NVar{z}\right)}}$

xml-id

C12.S1.p3.m6aadec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aadec

0 references

Q11320

Defining formula

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

xml-id

C12.S2.SS1.p1.m1aadec

0 references

Q11513

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C12.S1.XMD3.m1adec

0 references

Q11518

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C12.S1.XMD4.m1dec

0 references

 

Sitelinks

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