modified Bessel equation

modified Bessel equation

[¦mōd·ə‚fīd ′bes·əl i‚kwā·zhən]
(mathematics)
The differential equasion z 2ƒ″(z) + z ƒ′(z) - (z 2+ n 2)ƒ(z) = 0, where z is a variable that can have real or complex values and n is a real or complex number.
References in periodicals archive ?
This function is a zero-order modified Bessel equation, and its boundary conditions are shown below:
Equation (A.3) is the modified Bessel equation of order zero and its solution is
In the similar way as in the previous sections, we can solve the following nonhomogeneous modified Bessel equation:
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