DLMF:8.12.E16 (Q2618): Difference between revisions

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Revision as of 13:59, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:59, 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
			Q11343
		Property / Symbols used: Q11343 / rank
			Normal rank
		Property / Symbols used: Q11343 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q11343 / qualifier
			xml-id: C8.S1.XMD7.m1adec
		Property / Symbols used
			Q11351
		Property / Symbols used: Q11351 / rank
			Normal rank
		Property / Symbols used: Q11351 / qualifier
			Defining formula: ${\displaystyle{\displaystyle c_{k}(\eta)}}$ c_{k}(\eta)
		Property / Symbols used: Q11351 / qualifier
			xml-id: C8.S12.XMD6.m1fdec

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Latest revision as of 13:59, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:8.12.E16	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{e^{\pm\pi ia}}{2i\sin\left(\pi a\right)}Q\left(-a,ae^{\pm\pi i}\right)\sim\pm\frac{1}{2}-\frac{i}{\sqrt{2\pi a}}\sum_{k=0}^{\infty}c_{k}(0)(-a)^{-k},}}$

0 references

DLMF id

DLMF:8.12.E16

0 references

constraint

${\displaystyle{\displaystyle|\operatorname{ph}a|\leq\pi-\delta}}$

0 references

Symbols used

Q10931

Defining formula

${\displaystyle{\displaystyle\sim}}$

xml-id

C2.S1.SS3.p1.m11acdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2agdec

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.m2aadec

0 references

Q11326

Defining formula

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

xml-id

C8.S2.E4.m2acdec

0 references

Q10817

Defining formula

${\displaystyle{\displaystyle\operatorname{ph}}}$

xml-id

C1.S9.E7.m1aadec

0 references

sine function

Defining formula

${\displaystyle{\displaystyle\sin\NVar{z}}}$

xml-id

C4.S14.E1.m2abdec

0 references

Q11324

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C8.S1.XMD3.m1hdec

0 references

Q11330

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C8.S1.XMD5.m1fdec

0 references

Q11343

Defining formula

${\displaystyle{\displaystyle\delta}}$

xml-id

C8.S1.XMD7.m1adec

0 references

Q11351

Defining formula

${\displaystyle{\displaystyle c_{k}(\eta)}}$

xml-id

C8.S12.XMD6.m1fdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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