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q-Bessel-Macdonald functions

V. -B. K. Rogov
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Abstract

The modified q-Bessel functions and the q-Bessel-Macdonald functions of the first and second kind are introduced. Their definition is based on representations as power series. Recurrence relations, the q-Wronskians, asymptotic decompositions and q-integral representations are received. In addition, the q-Bessel-Macdonald function of kind 3 is determined by its q-integral representation.

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V. -B. K. Rogov. 2000-10-17. q-Bessel-Macdonald functions. https://arxiv.org/abs/math/0010170

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