DLMF:10.21.E44 (Q3351)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:10.21.E44	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{\nu}\left(j_{\nu,m}'\right)=\frac{h(\zeta)% \mathrm{Ai}\left(a^{\prime}_{m}\right)}{\nu^{\frac{1}{3}}}\left(1+O\left(\frac% {1}{\nu^{\frac{4}{3}}}\right)\right),}}

0 references

DLMF:10.21.E44

0 references

{\displaystyle{\displaystyle\zeta=\nu^{-\frac{2}{3}}a^{\prime}_{m}}}

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

C9.S2.SS1.m1aadec

0 references

Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2agdec

0 references

order not exceeding

Defining formula

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

C2.S1.E3.m2acdec

0 references

Defining formula

{\displaystyle{\displaystyle j_{\NVar{\nu},\NVar{m}}}}

C10.S21.SS1.p2.m11apdec

0 references

Defining formula

{\displaystyle{\displaystyle a^{\prime}_{\NVar{k}}}}

C9.S9.SS1.p1.m11abdec

0 references

Defining formula

{\displaystyle{\displaystyle m}}

C10.S1.XMD1.m1sdec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1ajdec

0 references

function (locally)

Defining formula

{\displaystyle{\displaystyle h(\zeta)}}

C10.S21.XMD8.m1cdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3351&oldid=60874"