DLMF:13.20.E18 (Q4607): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 16:16, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.20.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle W_{\kappa,\mu}\left(x\right)=\left(\tfrac{1}{2}% \mu\right)^{-\frac{1}{4}}\*\left(\frac{\kappa+\mu}{e}\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 \overline{U}\left(\mu-\kappa,-\zeta\sqrt{2\mu% }\right)O\left(\mu^{-\frac{2}{3}}\right)\right),}}

0 references

DLMF:13.20.E18

0 references

order not exceeding

Defining formula

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

C2.S1.E3.m2ahdec

0 references

Whittaker confluent hypergeometric function

Defining formula

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

C13.S14.E3.m2addec

0 references

Defining formula

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

C14.S15.SS5.p1.m9aadec

0 references

base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

0 references

Defining formula

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

C12.S2.SS1.p1.m1addec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1odec

0 references

function (locally)

Defining formula

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

C13.S20.XMD4.m1edec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4607&oldid=63176"