DLMF:11.6.E3 (Q3979): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:46, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:11.6.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{z}\mathbf{K}_{0}\left(t\right)\mathrm{d}% t-\frac{2}{\pi}(\ln\left(2z\right)+\gamma)\sim\frac{2}{\pi}\sum_{k=1}^{\infty}% (-1)^{k+1}\frac{(2k)!(2k-1)!}{(k!)^{2}(2z)^{2k}},}}

0 references

DLMF:11.6.E3

0 references

{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi-\delta}}

0 references

Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2adec

0 references

Struve function

Defining formula

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

C11.S2.E5.m2aadec

0 references

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11abdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

0 references

principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1abdec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C11.S1.XMD2.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle k}}

C11.S1.XMD5.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle\delta}}

C11.S1.XMD6.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3979&oldid=50768"