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BesselI






Mathematica Notation

Traditional Notation









Bessel-Type Functions >BesselI[nu,z]





Series representations

Generalized power series

Expansions at nu==+-n

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Expansions at generic point z==z0

For the function itself

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Expansions on branch cuts

For the function itself

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Expansions at z==0

For the function itself

General case

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Special cases

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Generic formulas for main term

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For small integer powers of the function

For the second power

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Asymptotic series expansions

Expansions inside Stokes sectors

Expansions containing z->infinity

In exponential form ||| In exponential form

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In hyperbolic form ||| In hyperbolic form

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Expansions containing z->-infinity

In exponential form ||| In exponential form

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In hyperbolic form ||| In hyperbolic form

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Expansions for any z in exponential form

Using exponential function with branch cut-containing arguments

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Using exponential function with branch cut-free arguments

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Expansions for any z in trigonometric form

Using trigonometric functions with branch cut-containing arguments

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Using trigonometric functions with branch cut-free arguments

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Residue representations

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