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Pseudo-Bessel functions and applications. (English) Zbl 1008.33001

The authors make use of a decomposition theorem with respect to the cyclic group of order \(k\) to introduce several families of pseudo-Bessel functions and to study their properties. They also briefly discuss some applications of their results in probability theory and electromagnetism.

MSC:

33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
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