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Non-linear integral equations for Heun functions

Non-linear integral equations for Heun functions

Some years ago Lambe and Ward (1) and Erdélyi ( 2 ) obtained integral equations for Heun polynomials and Heun functions. The integral equations discussed by these authors were of the form Further, as is well known, the Heun equation includes, among its special cases, Lamé's equation and Mathieu's equation …