DLMF:14.20.E24 (Q4945)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:14.20.E24	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\rho=\frac{1}{2}\ln\left(\frac{\left(1-\beta^{2}% \right)x^{2}+1+\beta^{2}+2x\left(1+\beta^{2}-\beta^{2}x^{2}\right)^{1/2}}{1-x^% {2}}\right)+\beta\operatorname{arctan}\left(\frac{\beta x}{\sqrt{1+\beta^{2}-% \beta^{2}x^{2}}}\right)-\frac{1}{2}\ln\left(1+\beta^{2}\right),}}

0 references

DLMF:14.20.E24

0 references

Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

C4.S23.SS2.p1.m7abdec

0 references

principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2aadec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1xdec

0 references

Defining formula

{\displaystyle{\displaystyle\beta}}

C14.S20.XMD8.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle\rho}}

C14.S20.XMD9.m1adec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4945&oldid=38405"