DLMF:36.11.E5 (Q9988): Difference between revisions

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Revision as of 15:18, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:18, 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
			order less than
		Property / Symbols used: order less than / rank
			Normal rank
		Property / Symbols used: order less than / qualifier
			Defining formula: ${\displaystyle{\displaystyle o\left(\NVar{x}\right)}}$ \littleo@{\NVar{x}}
		Property / Symbols used: order less than / qualifier
			xml-id: C2.S1.E2.m2acdec
		Property / Symbols used
			Q12745
		Property / Symbols used: Q12745 / rank
			Normal rank
		Property / Symbols used: Q12745 / qualifier
			Defining formula: ${\displaystyle{\displaystyle y}}$ y
		Property / Symbols used: Q12745 / qualifier
			xml-id: C36.S1.XMD10.m1adec

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Latest revision as of 15:18, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:36.11.E5	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\Psi_{3}\left(0,y,0\right)=\overline{\Psi_{3}(0,-y,0)}=\exp\left(\tfrac{1}{4}i\pi\right)\sqrt{\ifrac{\pi}{y}}\left(1-(i/{\sqrt{3}})\exp\left(\tfrac{3}{2}i(\ifrac{2y}{5})^{5/3}\right)+o\left(1\right)\right),}}$

0 references

DLMF id

DLMF:36.11.E5

0 references

constraint

${\displaystyle{\displaystyle y\to+\infty}}$

0 references

Symbols used

canonical integral function

Defining formula

${\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}$

xml-id

C36.S2.E4.m2acdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2acdec

0 references

complex conjugate

Defining formula

${\displaystyle{\displaystyle\overline{\NVar{z}}}}$

xml-id

C1.S9.E11.m2adec

0 references

exponential function

Defining formula

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

xml-id

C4.S2.E19.m2acdec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2abdec

0 references

order less than

Defining formula

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

xml-id

C2.S1.E2.m2acdec

0 references

Q12745

Defining formula

${\displaystyle{\displaystyle y}}$

xml-id

C36.S1.XMD10.m1adec

0 references

 

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