DLMF:10.32.E1 (Q3521): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit Newer edit →

Revision as of 13:40, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.32.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{0}\left(z\right)=\frac{1}{\pi}\int_{0}^{\pi}e^% {\pm z\cos\theta}\mathrm{d}\theta=\frac{1}{\pi}\int_{0}^{\pi}\cosh\left(z\cos% \theta\right)\mathrm{d}\theta.}}

0 references

DLMF:10.32.E1

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

0 references

cosine function

Defining formula

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

C4.S14.E2.m2adec

0 references

Defining formula

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

C1.S4.SS4.m1adec

0 references

base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

0 references

hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

0 references

modified Bessel function of the first kind

Defining formula

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

C10.S25.E2.m2adec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3521&oldid=38783"