About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations

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摘要

We discuss how the derivative of solutions of some Heun’s differential equations can be given, in some particular cases, from the solution of another Heun’s equation. This work uses some algebraic links between Heun and hypergeometric equations.

论文关键词:Heun’s differential equations,Hypergeometric functions

论文评审过程:Available online 25 December 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.12.049