DLMF:11.11.E3 (Q4063)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:11.11.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathbf{E}_{\nu}\left(z\right)\sim-Y_{\nu}\left(z% \right)-\frac{1+\cos\left(\pi\nu\right)}{\pi z}\sum_{k=0}^{\infty}\frac{F_{k}(% \nu)}{z^{2k}}-\frac{\nu(1-\cos\left(\pi\nu\right))}{\pi z^{2}}\sum_{k=0}^{% \infty}\frac{G_{k}(\nu)}{z^{2k}},}}

0 references

DLMF:11.11.E3

0 references

Bessel function of the second kind

Defining formula

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

C10.S2.E3.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C11.S10.E2.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11aadec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

0 references

cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C11.S1.XMD2.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C11.S1.XMD3.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle k}}

C11.S1.XMD5.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle F_{k}(\nu)}}

C11.S11.XMD1.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle G_{k}(\nu)}}

C11.S11.XMD2.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4063&oldid=53292"