DLMF:11.5.E8 (Q3975)

From DRMF

Revision as of 14:45, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:11.5.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(\tfrac{1}{2}x)^{-\nu-1}\mathbf{H}_{\nu}\left(x% \right)=-\frac{1}{2\pi i}\int_{-i\infty}^{i\infty}\frac{\pi\csc\left(\pi s% \right)}{\Gamma\left(\tfrac{3}{2}+s\right)\Gamma\left(\tfrac{3}{2}+\nu+s\right% )}(\tfrac{1}{4}x^{2})^{s}\mathrm{d}s,}}

0 references

DLMF:11.5.E8

0 references

{\displaystyle{\displaystyle\Re\nu>-1}}

0 references

{\displaystyle{\displaystyle x>0}}

0 references

{\displaystyle{\displaystyle\Re\nu>-1}}

0 references

Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2aedec

0 references

Struve function

Defining formula

{\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C11.S2.E1.m2aadec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

0 references

cosecant function

Defining formula

{\displaystyle{\displaystyle\csc\NVar{z}}}

C4.S14.E5.m2adec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3975&oldid=50498"