DLMF:13.14.E21 (Q4510): Difference between revisions

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Revision as of 16:06, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 16:07, 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
			the ratio of the circumference of a circle to its diameter
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
			Normal rank
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \cpi
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			xml-id: C3.S12.E1.m2aedec
		Property / Symbols used
			base of natural logarithm
		Property / Symbols used: base of natural logarithm / rank
			Normal rank
		Property / Symbols used: base of natural logarithm / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{e}}}$ \expe
		Property / Symbols used: base of natural logarithm / qualifier
			xml-id: C4.S2.E11.m2amdec
		Property / Symbols used
			Q10817
		Property / Symbols used: Q10817 / rank
			Normal rank
		Property / Symbols used: Q10817 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{ph}}}$ \phase
		Property / Symbols used: Q10817 / qualifier
			xml-id: C1.S9.E7.m1aadec
		Property / Symbols used
			Q11557
		Property / Symbols used: Q11557 / rank
			Normal rank
		Property / Symbols used: Q11557 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11557 / qualifier
			xml-id: C13.S1.XMD6.m1tdec
		Property / Symbols used
			Q11560
		Property / Symbols used: Q11560 / rank
			Normal rank
		Property / Symbols used: Q11560 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q11560 / qualifier
			xml-id: C13.S1.XMD7.m1adec
		Property / Symbols used
			asymptotic equality
		Property / Symbols used: asymptotic equality / rank
			Normal rank
		Property / Symbols used: asymptotic equality / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sim}}$ \asympeq
		Property / Symbols used: asymptotic equality / qualifier
			xml-id: C2.S1.E1.m2aadec

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Latest revision as of 16:07, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.14.E21	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle W_{\kappa,\mu}\left(z\right)\sim e^{-\frac{1}{2}z}z^{\kappa},}}$

0 references

DLMF id

DLMF:13.14.E21

0 references

constraint

${\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{3}{2}\pi-\delta}}$

0 references

Symbols used

Whittaker confluent hypergeometric function

Defining formula

${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

xml-id

C13.S14.E3.m2akdec

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

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2amdec

0 references

Q10817

Defining formula

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

xml-id

C1.S9.E7.m1aadec

0 references

Q11557

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C13.S1.XMD6.m1tdec

0 references

Q11560

Defining formula

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

xml-id

C13.S1.XMD7.m1adec

0 references

asymptotic equality

Defining formula

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

xml-id

C2.S1.E1.m2aadec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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