Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order

Details Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order

2009-04-02

arxiv.org/abs/0904.0245v3

J. Phys. A: Math. Theor. 43 (2010) 035203

Physics

Mathematical Physics

8 pages, no figures, LaTeX file, final version

Scientific paper

The present article reveals important properties of the confluent Heun's
functions. We derive a set of novel relations for confluent Heun's functions
and their derivatives of arbitrary order. Specific new subclasses of confluent
Heun's functions are introduced and studied. A new alternative derivation of
confluent Heun's polynomials is presented.

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