DLMF:9.13.E9 (Q2971): Difference between revisions

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Revision as of 14:59, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:59, 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
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2abdec
		Property / Symbols used
			Q11381
		Property / Symbols used: Q11381 / rank
			Normal rank
		Property / Symbols used: Q11381 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11381 / qualifier
			xml-id: C9.S1.XMD3.m1gdec
		Property / Symbols used
			Q11386
		Property / Symbols used: Q11386 / rank
			Normal rank
		Property / Symbols used: Q11386 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q11386 / qualifier
			xml-id: C9.S1.XMD4.m1dec
		Property / Symbols used
			parameter (locally)
		Property / Symbols used: parameter (locally) / rank
			Normal rank
		Property / Symbols used: parameter (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: parameter (locally) / qualifier
			xml-id: C9.S13.XMD1.m1gdec
		Property / Symbols used
			Q11414
		Property / Symbols used: Q11414 / rank
			Normal rank
		Property / Symbols used: Q11414 / qualifier
			Defining formula: ${\displaystyle{\displaystyle p}}$ p
		Property / Symbols used: Q11414 / qualifier
			xml-id: C9.S13.XMD3.m1gdec
		Property / Symbols used
			Q11415
		Property / Symbols used: Q11415 / rank
			Normal rank
		Property / Symbols used: Q11415 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\zeta}}$ \zeta
		Property / Symbols used: Q11415 / qualifier
			xml-id: C9.S13.XMD4.m1edec

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Latest revision as of 14:59, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:9.13.E9	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle A_{n}\left(z\right)=\sqrt{\ifrac{p}{\pi}}\sin\left(p\pi\right)z^{-n/4}e^{-\zeta}\left(1+O\left(\zeta^{-1}\right)\right),}}$

0 references

DLMF id

DLMF:9.13.E9

0 references

constraint

${\displaystyle{\displaystyle|\operatorname{ph}z|\leq 3p\pi-\delta}}$

0 references

Symbols used

order not exceeding

Defining formula

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

xml-id

C2.S1.E3.m2adec

0 references

Q11416

Defining formula

${\displaystyle{\displaystyle A_{\NVar{n}}\left(\NVar{z}\right)}}$

xml-id

C9.S13.SS1.p2.m3aedec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2abdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2adec

0 references

Q10817

Defining formula

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

xml-id

C1.S9.E7.m1adec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2abdec

0 references

Q11381

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C9.S1.XMD3.m1gdec

0 references

Q11386

Defining formula

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

xml-id

C9.S1.XMD4.m1dec

0 references

parameter (locally)

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C9.S13.XMD1.m1gdec

0 references

Q11414

Defining formula

${\displaystyle{\displaystyle p}}$

xml-id

C9.S13.XMD3.m1gdec

0 references

Q11415

Defining formula

${\displaystyle{\displaystyle\zeta}}$

xml-id

C9.S13.XMD4.m1edec

0 references

 

Sitelinks

Wikipedia(0 entries)

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