DLMF:28.28.E3 (Q8424): Difference between revisions

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Revision as of 15:17, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:17, 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
			Q12279
		Property / Symbols used: Q12279 / rank
			Normal rank
		Property / Symbols used: Q12279 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q12279 / qualifier
			xml-id: C28.S1.XMD2.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.m1bdec
		Property / Symbols used
			Q12274
		Property / Symbols used: Q12274 / rank
			Normal rank
		Property / Symbols used: Q12274 / qualifier
			Defining formula: ${\displaystyle{\displaystyle w(z)}}$ w(z)
		Property / Symbols used: Q12274 / qualifier
			xml-id: C28.S2.XMD1.m1bdec
		Property / Symbols used
			Q12311
		Property / Symbols used: Q12311 / rank
			Normal rank
		Property / Symbols used: Q12311 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: Q12311 / qualifier
			xml-id: C28.S28.XMD1.m1bdec

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Latest revision as of 15:17, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.28.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\dfrac{1}{2\pi}\int_{0}^{2\pi}e^{2\mathrm{i}hw}\mathrm{se}_{n}\left(t,h^{2}\right)\mathrm{d}t={\mathrm{i}^{n}}\mathrm{se}_{n}\left(\alpha,h^{2}\right){\mathrm{Ms}^{(1)}_{n}}\left(z,h\right),}}$

0 references

DLMF id

DLMF:28.28.E3

0 references

Symbols used

Q12286

Defining formula

${\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}\right)}}$

xml-id

C28.S2.SS6.p1.m8adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aadec

0 references

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1aadec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aadec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2aadec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3aadec

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

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1adec

0 references

Q12279

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C28.S1.XMD2.m1adec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1bdec

0 references

Q12274

Defining formula

${\displaystyle{\displaystyle w(z)}}$

xml-id

C28.S2.XMD1.m1bdec

0 references

Q12311

Defining formula

${\displaystyle{\displaystyle\alpha}}$

xml-id

C28.S28.XMD1.m1bdec

0 references

 

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