Integral Representation of Solutions to Fuchsian System and Heun’s Equation
نویسنده
چکیده
The Fuchsian differential equation is a linear differential equation whose singularities are all regular. It frequently appears in a range of problems in mathematics and physics. For example, the famous Gauss hypergeometric differential equation is a canonical form of the second-order Fuchsian differential equation with three singularities on the Riemann sphere C ∪ {∞}. Global properties of solutions, i.e., the monodromy, often play decisive roles in the applications of these equations in physics and other areas of mathematics. Heun’s differential equation is a canonical form of a second-order Fuchsian equation with four singularities, which is given by
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تاریخ انتشار 2008