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arXiv · 0904.0245

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

Plamen P. Fiziev
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Abstract

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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Plamen P. Fiziev. 2009-12-18. Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order. https://doi.org/10.1088/1751-8113%2F43%2F3%2F035203

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