On a new set of orthogonal polynomials
An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.
An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.
The author considers the Klein-Gordon equation for -dimensional flat spacetime. He is interested in those coordinate systems for which the equation is separable. These coordinate systems are explicitly known and generally do not cover the whole plane. The author constructs tensor fields which he can use to express the locus of points where the coordinates break down.
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