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BesselJZero

BesselJZero
represents the k^(th) zero of the Bessel function .
BesselJZero
represents the k^(th) zero greater than .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • N gives a numerical approximation so long as the specified zero exists.
  • BesselJZero can be evaluated to arbitrary numerical precision.
Evaluate numerically:
Evaluate symbolically:
Evaluate numerically:
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Click for copyable input
Out[1]=
 
Evaluate symbolically:
In[1]:=
Click for copyable input
Out[1]=
Evaluate to high precision:
Find the first zero of greater than 100:
BesselJZero threads element-wise over lists:
TraditionalForm formatting:
Find a zero of using BesselJZero:
Find the derivative of Bessel zero with respect to k:
Find the first ten eigenmodes of a circular drum with Dirichlet boundary conditions:
Construct an amplitude comprising a certain mixture of modes:
Circular density plot:
Radial drum displacement profile:
Find the coefficient in the for diffraction-limited optics:
Asymptotic behavior of BesselJZero for large k:
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