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

作者:Fiziev Plamen P*
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(3): 035203.
DOI:10.1088/1751-8113/43/3/035203

摘要

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.

  • 出版日期2010-1-22