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Series Representation of the Modified Bessel Functions

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

Some power series representations of the modified Bessel functions (McDonald functions KαK_{\alpha}) are derived using the relatively little known formalism of fractional derivatives. The resulting summation formulae are believed to be new.

Keywords

Cite

@article{arxiv.math-ph/0104018,
  title  = {Series Representation of the Modified Bessel Functions},
  author = {Krzysztof Maslanka},
  journal= {arXiv preprint arXiv:math-ph/0104018},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-07-22T16:20:20.747Z