BesselJZeros - Real zeros of Bessel J functions
BesselYZeros - Real zeros of Bessel Y functions
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Calling Sequence
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BesselJZeros(v, n)
BesselJZeros(v, n1..n2)
BesselYZeros(v, n)
BesselYZeros(v, n1..n2)
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Parameters
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v
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algebraic expression (the order of the Bessel function)
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n
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algebraic expression (the index of a zero)
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n1, n2
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algebraic expressions (a range n1..n2 of indices for consecutive zeros)
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Description
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BesselJZeros(v, n) denotes the n-th positive real root of the BesselJ function of order v.
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- 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.
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- If n is numeric, then it must be a positive integer.
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BesselJZeros(v, n1..n2) represents the sequence of consecutive zeros with index from n1 to n2.
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BesselYZeros(v, n) and BesselYZeros(v, n1..n2) correspond to the zeros of the BesselY function.
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Note that if then BesselJZeros(v, 0) is also defined and is equal to 0.
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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.
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Examples
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