DLMF:13.20.E19 (Q4608)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:13.20.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle M_{\kappa,\mu}\left(x\right)=\left(8\mu\right)^{% \frac{1}{4}}\*\left(\frac{2\mu}{e}\right)^{2\mu}\*\left(\frac{e}{\kappa+\mu}% \right)^{\frac{1}{2}(\kappa+\mu)}\*\Phi(\kappa,\mu,x)\*\left(U\left(\mu-\kappa% ,-\zeta\sqrt{2\mu}\right)+\mathrm{env}\mskip-1.0mu U\left(\mu-\kappa,-\zeta% \sqrt{2\mu}\right)O\left(\mu^{-\frac{2}{3}}\right)\right),}}

0 references

DLMF:13.20.E19

0 references

order not exceeding

Defining formula

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

C2.S1.E3.m2aidec

0 references

Whittaker confluent hypergeometric function

Defining formula

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

C13.S14.E2.m2addec

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{env}\mskip-1.0mu U\left(\NVar{c},\NVar{x}% \right)}}

C14.S15.SS5.p1.m7aadec

0 references

base of natural logarithm

Defining formula

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

C4.S2.E11.m2agdec

0 references

Defining formula

{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}

C12.S2.SS1.p1.m1aedec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1pdec

0 references

function (locally)

Defining formula

{\displaystyle{\displaystyle\Phi(\kappa,\mu,x)}}

C13.S20.XMD4.m1fdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4608&oldid=63183"

Navigation menu