DLMF:36.2.E29 (Q9871): Difference between revisions

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Revision as of 15:07, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:07, 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
			hyperbolic umbilic canonical integral function
		Property / Symbols used: hyperbolic umbilic canonical integral function / rank
			Normal rank
		Property / Symbols used: hyperbolic umbilic canonical integral function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\NVar{\mathbf{x}}\right)}}$ \hyperumbcanonint@{\NVar{\mathbf{x}}}
		Property / Symbols used: hyperbolic umbilic canonical integral function / qualifier
			xml-id: C36.S2.E5.m4afdec
		Property / Symbols used
			imaginary unit
		Property / Symbols used: imaginary unit / rank
			Normal rank
		Property / Symbols used: imaginary unit / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
			xml-id: C1.S9.E1.m2apdec
		Property / Symbols used
			Q12746
		Property / Symbols used: Q12746 / rank
			Normal rank
		Property / Symbols used: Q12746 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q12746 / qualifier
			xml-id: C36.S1.XMD11.m1kdec

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Latest revision as of 15:07, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:36.2.E29	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(0,0,z\right)=\overline{\Psi^{(\mathrm{H})}\left(0,0,-z\right)}=\frac{2^{1/3}}{\sqrt{3}}\exp\left(\frac{1}{27}iz^{3}\right)\Psi^{(\mathrm{E})}\left(0,0,-\frac{z}{2^{2/3}}\right),}}$

0 references

DLMF id

DLMF:36.2.E29

0 references

constraint

${\displaystyle{\displaystyle-\infty<z<\infty}}$

0 references

Symbols used

complex conjugate

Defining formula

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

xml-id

C1.S9.E11.m2acdec

0 references

elliptic umbilic canonical integral function

Defining formula

${\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(\NVar{\mathbf{x}}\right)}}$

xml-id

C36.S2.E5.m3ahdec

0 references

exponential function

Defining formula

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

xml-id

C4.S2.E19.m2andec

0 references

hyperbolic umbilic canonical integral function

Defining formula

${\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\NVar{\mathbf{x}}\right)}}$

xml-id

C36.S2.E5.m4afdec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2apdec

0 references

Q12746

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C36.S1.XMD11.m1kdec

0 references

 

Sitelinks

Wikipedia(0 entries)

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