DLMF:33.2.E8 (Q9503): Difference between revisions

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Revision as of 14:21, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:21, 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
			Q12667
		Property / Symbols used: Q12667 / rank
			Normal rank
		Property / Symbols used: Q12667 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\rho}}$ \rho
		Property / Symbols used: Q12667 / qualifier
			xml-id: C33.S1.XMD5.m1ddec
		Property / Symbols used
			Q12668
		Property / Symbols used: Q12668 / rank
			Normal rank
		Property / Symbols used: Q12668 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\eta}}$ \eta
		Property / Symbols used: Q12668 / qualifier
			xml-id: C33.S1.XMD7.m1gdec

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Latest revision as of 14:21, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:33.2.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{H^{\pm}_{\ell}}\left(\eta,\rho\right)=e^{\pm\mathrm{i}{\theta_{\ell}}\left(\eta,\rho\right)}(\mp 2\mathrm{i}\rho)^{\ell+1\pm\mathrm{i}\eta}U\left(\ell+1\pm\mathrm{i}\eta,2\ell+2,\mp 2\mathrm{i}\rho\right),}}$

0 references

DLMF id

DLMF:33.2.E8

0 references

Symbols used

phase of Coulomb functions

Defining formula

${\displaystyle{\displaystyle{\theta_{\NVar{\ell}}}\left(\NVar{\eta},\NVar{\rho}\right)}}$

xml-id

C33.S2.E9.m2adec

0 references

Kummer confluent hypergeometric function

Defining formula

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

xml-id

C13.S2.E6.m2adec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2addec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2addec

0 references

irregular Coulomb radial functions

Defining formula

${\displaystyle{\displaystyle{H^{\NVar{\pm}}_{\NVar{\ell}}}\left(\NVar{\eta},\NVar{\rho}\right)}}$

xml-id

C33.S2.E7.m2aadec

0 references

Q12666

Defining formula

${\displaystyle{\displaystyle\ell}}$

xml-id

C33.S1.XMD2.m1gdec

0 references

Q12667

Defining formula

${\displaystyle{\displaystyle\rho}}$

xml-id

C33.S1.XMD5.m1ddec

0 references

Q12668

Defining formula

${\displaystyle{\displaystyle\eta}}$

xml-id

C33.S1.XMD7.m1gdec

0 references

 

Sitelinks

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