DLMF:28.26.E2 (Q8418): Difference between revisions

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Revision as of 15:15, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:15, 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
			Q12294
		Property / Symbols used: Q12294 / rank
			Normal rank
		Property / Symbols used: Q12294 / qualifier
			Defining formula: ${\displaystyle{\displaystyle h}}$ h
		Property / Symbols used: Q12294 / qualifier
			xml-id: C28.S1.XMD11.m1adec
		Property / Symbols used
			Q12272
		Property / Symbols used: Q12272 / rank
			Normal rank
		Property / Symbols used: Q12272 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q12272 / qualifier
			xml-id: C28.S1.XMD6.m1adec
		Property / Symbols used
			Q12310
		Property / Symbols used: Q12310 / rank
			Normal rank
		Property / Symbols used: Q12310 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi}}$ \phi
		Property / Symbols used: Q12310 / qualifier
			xml-id: C28.S26.XMD1.m1adec

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Latest revision as of 15:15, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.26.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{i}{\mathrm{Ms}^{(3)}_{m+1}}\left(z,h\right)=\dfrac{e^{\mathrm{i}\phi}}{(\pi h\cosh z)^{\ifrac{1}{2}}}\*{\left(\MathieuFs{m}@{z}{h}-\mathrm{i}\MathieuGs{m}@{z}{h}\right)},}}$

0 references

DLMF id

DLMF:28.26.E2

0 references

Symbols used

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aadec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aadec

0 references

hyperbolic cosine function

Defining formula

${\displaystyle{\displaystyle\cosh\NVar{z}}}$

xml-id

C4.S28.E2.m2aadec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2aadec

0 references

radial Mathieu function

Defining formula

${\displaystyle{\displaystyle{\mathrm{Ms}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z},\NVar{h}\right)}}$

xml-id

C28.S20.E16.m2adec

0 references

Q12284

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C28.S1.XMD1.m1adec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1adec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1adec

0 references

Q12310

Defining formula

${\displaystyle{\displaystyle\phi}}$

xml-id

C28.S26.XMD1.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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