DLMF:31.8.E2 (Q9037): Difference between revisions

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Revision as of 13:33, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:33, 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
			Q12483
		Property / Symbols used: Q12483 / rank
			Normal rank
		Property / Symbols used: Q12483 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q12483 / qualifier
			xml-id: C31.S1.XMD4.m1adec
		Property / Symbols used
			Q12461
		Property / Symbols used: Q12461 / rank
			Normal rank
		Property / Symbols used: Q12461 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q12461 / qualifier
			xml-id: C31.S1.XMD6.m1dec
		Property / Symbols used
			Q12487
		Property / Symbols used: Q12487 / rank
			Normal rank
		Property / Symbols used: Q12487 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\lambda=-4q}}$ \lambda=-4q
		Property / Symbols used: Q12487 / qualifier
			xml-id: C31.S8.XMD1.m1dec
		Property / Symbols used
			Q12488
		Property / Symbols used: Q12488 / rank
			Normal rank
		Property / Symbols used: Q12488 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Psi_{g,N}(\lambda,z)}}$ \Psi_{g,N}(\lambda,z)
		Property / Symbols used: Q12488 / qualifier
			xml-id: C31.S8.XMD2.m1dec
		Property / Symbols used
			Q12489
		Property / Symbols used: Q12489 / rank
			Normal rank
		Property / Symbols used: Q12489 / qualifier
			Defining formula: ${\displaystyle{\displaystyle g}}$ g
		Property / Symbols used: Q12489 / qualifier
			xml-id: C31.S8.XMD3.m1dec
		Property / Symbols used
			Q12490
		Property / Symbols used: Q12490 / rank
			Normal rank
		Property / Symbols used: Q12490 / qualifier
			Defining formula: ${\displaystyle{\displaystyle N}}$ N
		Property / Symbols used: Q12490 / qualifier
			xml-id: C31.S8.XMD4.m1dec

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Latest revision as of 13:33, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:31.8.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle w_{\pm}(\mathbf{m};\lambda;z)=\sqrt{\Psi_{g,N}(\lambda,z)}\*\exp\left(\pm\frac{i\nu(\lambda)}{2}\int_{z_{0}}^{z}\frac{t^{m_{1}}(t-1)^{m_{2}}(t-a)^{m_{3}}\mathrm{d}t}{\Psi_{g,N}(\lambda,t)\sqrt{t(t-1)(t-a)}}\right)}}$

0 references

DLMF id

DLMF:31.8.E2

0 references

Symbols used

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1adec

0 references

exponential function

Defining formula

${\displaystyle{\displaystyle\exp\NVar{z}}}$

xml-id

C4.S2.E19.m2adec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2adec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3adec

0 references

Q12457

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C31.S1.XMD1.m1dec

0 references

Q12485

Defining formula

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

xml-id

C31.S1.XMD13.m1dec

0 references

Q12483

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C31.S1.XMD4.m1adec

0 references

Q12461

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C31.S1.XMD6.m1dec

0 references

Q12487

Defining formula

${\displaystyle{\displaystyle\lambda=-4q}}$

xml-id

C31.S8.XMD1.m1dec

0 references

Q12488

Defining formula

${\displaystyle{\displaystyle\Psi_{g,N}(\lambda,z)}}$

xml-id

C31.S8.XMD2.m1dec

0 references

Q12489

Defining formula

${\displaystyle{\displaystyle g}}$

xml-id

C31.S8.XMD3.m1dec

0 references

Q12490

Defining formula

${\displaystyle{\displaystyle N}}$

xml-id

C31.S8.XMD4.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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