convert an expression with Airy wave functions or Bessel functions into Bessel functions - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Programming : Data Types : Conversion : convert/Bessel

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

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


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam