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

By P. Fiziev. 2009

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The present paper 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.

Subfields: Atomic and Molecular Physics, and Optics, Spectroscopy, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e94464df932bee537356bb581f3d13b2f2ab59a0