BesselJZeros - Maple Help
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BesselJZeros

Real zeros of Bessel J functions

BesselYZeros

Real zeros of Bessel Y functions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

BesselJZeros(v, n)

BesselJZeros(v, n1..n2)

BesselYZeros(v, n)

BesselYZeros(v, n1..n2)

Parameters

v

-

algebraic expression (the order of the Bessel function)

n

-

algebraic expression (the index of a zero)

n1, n2

-

algebraic expressions (a range n1..n2 of indices for consecutive zeros)

Description

• 

BesselJZeros(v, n) denotes the n-th positive real root of the BesselJ function of order v.

  

- If v is numeric, then it must be a real constant. If v is a float, then a numerical evaluation is attempted, otherwise a symbolic representation is returned.

  

- If n is numeric, then it must be a positive integer.

• 

BesselJZeros(v, n1..n2) represents the sequence of consecutive zeros with index from n1 to n2.

• 

BesselYZeros(v, n) and BesselYZeros(v, n1..n2) correspond to the zeros of the BesselY function.

• 

Note that if  then BesselJZeros(v, 0) is also defined and is equal to 0.

• 

These functions may use fsolve to find a floating point approximation for the zeros. To solve ill-conditioned problems, it is convenient to assign the name 'fulldigits' to the environment variable_Envfulldigits.

Examples

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See Also

Bessel

inifcns

 


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