The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions
Copyright policy )The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions
A two point connection problem for local solutions at two regular singularities of a general linear ordinary differential equation is studied. Explicit formulas for the connection coefficients are obtained which have a wide field of applications especially in the theory of special functions of mathematical physics. Applications to the ellipsoidal wave equation and to Heun’s equation are considered.
mathematical physics, Special functions, two point connection problem, Linear ordinary differential equations and systems, General theory for ordinary differential equations, ellipsoidal wave equation, Heun's equation, regular singular points, theory of special functions
mathematical physics, Special functions, two point connection problem, Linear ordinary differential equations and systems, General theory for ordinary differential equations, ellipsoidal wave equation, Heun's equation, regular singular points, theory of special functions
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