StruveH, StruveL - Maple Programming Help

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StruveH, StruveL

Struve functions

 

Calling Sequence

Parameters

Description

Examples

References

Calling Sequence

StruveH(v, x)

StruveL(v, x)

Parameters

v

-

algebraic expression (order or index)

x

-

algebraic expression (argument)

Description

• 

The Struve function StruveH(v, x) solves the inhomogeneous Bessel equation

x2`y''`+x`y'`+v2+x2y=4x2v+1πΓv+12

• 

The modified Struve function StruveL(v, x) solves the inhomogeneous Bessel equation

x2`y''`+x`y'`v2+x2y=4x2v+1πΓv+12

Examples

StruveH0,0

0

(1)

StruveL1.5I,2.6+3I

6.1361092060.3149238903I

(2)

seriesStruveH13,x,x,4

3522/3x4/3πΓ5635522/3x10/3πΓ56+Ox4

(3)

StruveH32,x

StruveH32,x

(4)

xStruveLv,x

StruveLv+1,x+vStruveLv,xx+12xvπΓv+32

(5)

References

  

Abramowitz, M., and Stegun, I., eds. Handbook of Mathematical Functions. New York: Dover, 1972.

See Also

Airy

Anger

Bessel

convert/Bessel

initialfunctions

Kelvin