DLMF:14.15.E16 (Q4862): Difference between revisions

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Revision as of 01:51, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:51, 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
			Q11590
		Property / Symbols used: Q11590 / rank
			Normal rank
		Property / Symbols used: Q11590 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\nu}}$ \nu
		Property / Symbols used: Q11590 / qualifier
			xml-id: C14.S1.XMD8.m1ldec
		Property / Symbols used
			Q11617
		Property / Symbols used: Q11617 / rank
			Normal rank
		Property / Symbols used: Q11617 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\beta}}$ \beta
		Property / Symbols used: Q11617 / qualifier
			xml-id: C14.S15.XMD10.m1adec
		Property / Symbols used
			Q11618
		Property / Symbols used: Q11618 / rank
			Normal rank
		Property / Symbols used: Q11618 / qualifier
			Defining formula: ${\displaystyle{\displaystyle y}}$ y
		Property / Symbols used: Q11618 / qualifier
			xml-id: C14.S15.XMD11.m1adec
		Property / Symbols used
			Q11619
		Property / Symbols used: Q11619 / rank
			Normal rank
		Property / Symbols used: Q11619 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: Q11619 / qualifier
			xml-id: C14.S15.XMD9.m1adec

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Latest revision as of 01:51, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:14.15.E16	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathsf{Q}^{-\mu}_{\nu}\left(x\right)=-\frac{\pi\beta}{2}\left(\frac{y-\alpha^{2}}{1-\alpha^{2}-x^{2}}\right)^{1/4}\left(Y_{\mu}\left(\left(\nu+\tfrac{1}{2}\right)y^{1/2}\right)+O\left(\frac{1}{\nu}\right)\mathrm{env}\mskip-2.0mu Y_{\mu}\left(\left(\nu+\tfrac{1}{2}\right)y^{1/2}\right)\right),}}$

0 references

DLMF id

DLMF:14.15.E16

0 references

Symbols used

Bessel function of the second kind

Defining formula

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

xml-id

C10.S2.E3.m2aadec

0 references

order not exceeding

Defining formula

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

xml-id

C2.S1.E3.m2akdec

0 references

Ferrers function of the second kind

Defining formula

${\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C14.S3.E2.m2aadec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2aedec

0 references

Q11091

Defining formula

${\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu Y_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C2.S8.SS4.p5.m4aadec

0 references

Q11589

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C14.S1.XMD1.m1idec

0 references

Q11591

Defining formula

${\displaystyle{\displaystyle\mu}}$

xml-id

C14.S1.XMD7.m1ldec

0 references

Q11590

Defining formula

${\displaystyle{\displaystyle\nu}}$

xml-id

C14.S1.XMD8.m1ldec

0 references

Q11617

Defining formula

${\displaystyle{\displaystyle\beta}}$

xml-id

C14.S15.XMD10.m1adec

0 references

Q11618

Defining formula

${\displaystyle{\displaystyle y}}$

xml-id

C14.S15.XMD11.m1adec

0 references

Q11619

Defining formula

${\displaystyle{\displaystyle\alpha}}$

xml-id

C14.S15.XMD9.m1adec

0 references

 

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