DLMF:13.21.E13 (Q4621): Difference between revisions

From DRMF

Jump to navigation Jump to search

Revision as of 16:18, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.21.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle M_{\kappa,\mu}\left(x\right)=\Gamma\left(2\mu+1% \right)\*\left(\frac{e^{2}}{\kappa^{2}-\mu^{2}}\right)^{\frac{1}{2}\mu}\*\left% (\frac{\kappa-\mu}{\kappa+\mu}\right)^{\frac{1}{2}\kappa}\*\Psi(\kappa,\mu,x)% \*\left(J_{2\mu}\left(\sqrt{\zeta\kappa}\right)+\mathrm{env}\mskip-2.0mu J_{2% \mu}\left(\sqrt{\zeta\kappa}\right)O\left(\kappa^{-1}\right)\right),}}

0 references

DLMF:13.21.E13

0 references

Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2abdec

0 references

order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2afdec

0 references

Defining formula

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

C5.S2.E1.m2aedec

0 references

Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E2.m2abdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4621&oldid=63247"