DLMF:14.20.E17 (Q4938): Difference between revisions

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Revision as of 13:36, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:36, 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
			Q11630
		Property / Symbols used: Q11630 / rank
			Normal rank
		Property / Symbols used: Q11630 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\tau}}$ \tau
		Property / Symbols used: Q11630 / qualifier
			xml-id: C14.S1.XMD3.m1xdec
		Property / Symbols used
			Q11591
		Property / Symbols used: Q11591 / rank
			Normal rank
		Property / Symbols used: Q11591 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mu}}$ \mu
		Property / Symbols used: Q11591 / qualifier
			xml-id: C14.S1.XMD7.m1ldec
		Property / Symbols used
			Q11633
		Property / Symbols used: Q11633 / rank
			Normal rank
		Property / Symbols used: Q11633 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: Q11633 / qualifier
			xml-id: C14.S20.XMD5.m1dec
		Property / Symbols used
			Q11634
		Property / Symbols used: Q11634 / rank
			Normal rank
		Property / Symbols used: Q11634 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sigma(\mu,\tau)}}$ \sigma(\mu,\tau)
		Property / Symbols used: Q11634 / qualifier
			xml-id: C14.S20.XMD6.m1dec
		Property / Symbols used
			Q11635
		Property / Symbols used: Q11635 / rank
			Normal rank
		Property / Symbols used: Q11635 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\eta}}$ \eta
		Property / Symbols used: Q11635 / qualifier
			xml-id: C14.S20.XMD7.m1dec

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Latest revision as of 13:36, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:14.20.E17	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathsf{P}^{-\mu}_{-\frac{1}{2}+i\tau}\left(x\right)=\sigma(\mu,\tau)\left(\frac{\alpha^{2}+\eta}{1+\alpha^{2}-x^{2}}\right)^{1/4}I_{\mu}\left(\tau\eta^{1/2}\right)\*\left(1+O\left(\ifrac{1}{\tau}\right)\right),}}$

0 references

DLMF id

DLMF:14.20.E17

0 references

Symbols used

order not exceeding

Defining formula

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

xml-id

C2.S1.E3.m2abdec

0 references

Ferrers function of the first kind

Defining formula

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

xml-id

C14.S3.E1.m2aidec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2awdec

0 references

modified Bessel function of the first kind

Defining formula

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

xml-id

C10.S25.E2.m2aadec

0 references

Q11589

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C14.S1.XMD1.m1tdec

0 references

Q11630

Defining formula

${\displaystyle{\displaystyle\tau}}$

xml-id

C14.S1.XMD3.m1xdec

0 references

Q11591

Defining formula

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

xml-id

C14.S1.XMD7.m1ldec

0 references

Q11633

Defining formula

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

xml-id

C14.S20.XMD5.m1dec

0 references

Q11634

Defining formula

${\displaystyle{\displaystyle\sigma(\mu,\tau)}}$

xml-id

C14.S20.XMD6.m1dec

0 references

Q11635

Defining formula

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

xml-id

C14.S20.XMD7.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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