Difference between revisions of "Modified Bessel I"
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[[Relationship between Bessel I sub n and Bessel J sub n]]<br /> | [[Relationship between Bessel I sub n and Bessel J sub n]]<br /> | ||
[[Relationship between Airy Bi and modified Bessel I]]<br /> | [[Relationship between Airy Bi and modified Bessel I]]<br /> | ||
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<center>{{:Bessel functions footer}}</center> | <center>{{:Bessel functions footer}}</center> |
Revision as of 20:12, 9 June 2016
The modified Bessel function of the first kind is defined by $$I_{\nu}(z)=i^{-\nu}J_{\nu}(iz),$$ where $J_{\nu}$ is the Bessel function of the first kind.
Domain coloring of analytic continuation of $I_1(z)$.
Properties
Relationship between Bessel I sub -1/2 and cosh
Relationship between Bessel I sub 1/2 and sinh
Relationship between Bessel I sub n and Bessel J sub n
Relationship between Airy Bi and modified Bessel I
Bessel $I_{\nu}$