DLMF:10.68.E17 (Q3887)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:10.68.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\ln M_{\nu}\left(x\right)=\frac{x}{\sqrt{2}}-\frac% {1}{2}\ln\left(2\pi x\right)-\frac{\mu-1}{8\sqrt{2}}\frac{1}{x}-\frac{(\mu-1)(% \mu-25)}{384\sqrt{2}}\frac{1}{x^{3}}-\frac{(\mu-1)(\mu-13)}{128}\frac{1}{x^{4}% }+O\left(\frac{1}{x^{5}}\right),}}

0 references

DLMF:10.68.E17

0 references

order not exceeding

Defining formula

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

C2.S1.E3.m2aadec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

0 references

modulus of Bessel functions

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}

C10.S18.E1.m2aldec

0 references

principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1ndec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1mdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3887&oldid=47842"