q-Bessel-Macdonald functions

Details q-Bessel-Macdonald functions q-Bessel-Macdonald functions

2000-10-17

arxiv.org/abs/math/0010170v1

Mathematics

Quantum Algebra

10 pages, Latex

Scientific paper

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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