DLMF:28.28.E34 (Q8461): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

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
(6 intermediate revisions by the same user not shown)
		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.m2awdec
		Property / Symbols used
			Cauchy principal value
		Property / Symbols used: Cauchy principal value / rank
			Normal rank
		Property / Symbols used: Cauchy principal value / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$ \pvint_{\NVar{a}}^{\NVar{b}}
		Property / Symbols used: Cauchy principal value / qualifier
			xml-id: C1.S4.E24.m2adec
		Property / Symbols used
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2akdec
		Property / Symbols used
			Q12284
		Property / Symbols used: Q12284 / rank
			Normal rank
		Property / Symbols used: Q12284 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q12284 / qualifier
			xml-id: C28.S1.XMD1.m1odec
		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.m1acdec
		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.m1pdec
		Property / Symbols used
			DLMF:28.28.E27
		Property / Symbols used: DLMF:28.28.E27 / rank
			Normal rank
		Property / Symbols used: DLMF:28.28.E27 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha^{(s)}_{\nu,m}}}$ \alpha^{(s)}_{\nu,m}
		Property / Symbols used: DLMF:28.28.E27 / qualifier
			xml-id: C28.S28.XMD7.m1fdec

---

Latest revision as of 15:28, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.28.E34	No description defined

Statements

Defining formula

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

0 references

DLMF id

DLMF:28.28.E34

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.m1ajdec

0 references

Q12299

Defining formula

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

xml-id

C28.S12.SS2.p2.m2amdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aacdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aaadec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2awdec

0 references

Cauchy principal value

Defining formula

${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$

xml-id

C1.S4.E24.m2adec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2akdec

0 references

Q12284

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C28.S1.XMD1.m1odec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1acdec

0 references

Q12278

Defining formula

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

xml-id

C28.S1.XMD7.m1pdec

0 references

DLMF:28.28.E27

Defining formula

${\displaystyle{\displaystyle\alpha^{(s)}_{\nu,m}}}$

xml-id

C28.S28.XMD7.m1fdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8461&oldid=58107"