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convert/Bessel

convert an expression with Airy wave functions or Bessel functions into Bessel functions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert(expr, Bessel)

convert(expr, BesselI)

convert(expr, BesselJ)

convert(expr, BesselK)

convert(expr, BesselY)

convert(expr, Hankel)

Parameters

expr

-

Maple expression

Description

• 

convert/Bessel converts Airy wave functions, their derivatives, and Bessel functions in an expression to the Bessel functions.

• 

The option Bessel will give the simplest conversion. The other options will force a conversion to an expression in that function, if it is possible.

Examples

convertAiryAix,Bessel

13xBesselI13,23x3x31/6+13x31/6BesselI13,23x3

(1)

convertAiryBix,Bessel

133xBesselI13,23x3/2+BesselI13,23x3/2x3/21/3x3/21/6

(2)

convertAiryAi1,x,BesselI

13x2BesselI23,23x3x31/313x31/3BesselI23,23x3

(3)

convertsinHankelH1v,x,Bessel

sinBesselJv,x+IBesselYv,x

(4)

convertBesselJv,2,BesselY

BesselYv,2BesselYv,2cosvπsinvπ

(5)

convertKelvinKeiv,z2,BesselK

12Iⅇ12Ivπ2BesselKv,1212Iz22BesselKv,12+12Iz22ⅇ12Ivπ

(6)

See Also

Airy

Bessel

convert/Airy

 


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