DLMF:28.28.E32 (Q8459): Difference between revisions

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Revision as of 15:28, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:28, 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
			Q12278
		Property / Symbols used: Q12278 / rank
			Normal rank
		Property / Symbols used: Q12278 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\nu}}$ \nu
		Property / Symbols used: Q12278 / qualifier
			xml-id: C28.S1.XMD7.m1ndec
		Property / Symbols used
			DLMF:28.28.E33
		Property / Symbols used: DLMF:28.28.E33 / rank
			Normal rank
		Property / Symbols used: DLMF:28.28.E33 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\gamma_{\nu,m}}}$ \gamma_{\nu,m}
		Property / Symbols used: DLMF:28.28.E33 / qualifier
			xml-id: C28.S28.XMD8.m1adec

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Latest revision as of 15:28, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.28.E32	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\dfrac{\sinh\left(2z\right)}{\pi^{2}}\int_{0}^{2\pi}\dfrac{\mathrm{me}_{\nu}'\left(t,h^{2}\right)\mathrm{me}_{-\nu-2m}\left(t,h^{2}\right)}{{\sinh^{2}}z+{\sin^{2}}t}\mathrm{d}t=(-1)^{m+1}\mathrm{i}\gamma_{\nu,m}\mathrm{D}_{1}\left(\nu,\nu+2m,z\right),}}$

0 references

DLMF id

DLMF:28.28.E32

0 references

Symbols used

Q12317

Defining formula

${\displaystyle{\displaystyle\mathrm{D}_{\NVar{j}}\left(\NVar{\nu},\NVar{\mu},\NVar{z}\right)}}$

xml-id

C28.S28.E24.m1ahdec

0 references

Q12299

Defining formula

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

xml-id

C28.S12.SS2.p2.m2akdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aaadec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aydec

0 references

hyperbolic sine function

Defining formula

${\displaystyle{\displaystyle\sinh\NVar{z}}}$

xml-id

C4.S28.E1.m2ahdec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2audec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3aydec

0 references

sine function

Defining formula

${\displaystyle{\displaystyle\sin\NVar{z}}}$

xml-id

C4.S14.E1.m2ajdec

0 references

Q12284

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C28.S1.XMD1.m1mdec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1aadec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1zdec

0 references

Q12278

Defining formula

${\displaystyle{\displaystyle\nu}}$

xml-id

C28.S1.XMD7.m1ndec

0 references

DLMF:28.28.E33

Defining formula

${\displaystyle{\displaystyle\gamma_{\nu,m}}}$

xml-id

C28.S28.XMD8.m1adec

0 references

 

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