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Legendre's equation, often encountered in mathematical physics and potential theory, refers to a specific type of ordinary differential equation. It is given in the context of Legendre polynomials, which are solutions to this equation.

A Markov number is a specific type of positive integer that is associated with a particular solution to Markov's equation, which is given by: \[ x^2 + y^2 + z^2 = 3xyz \] where \( x \), \( y \), and \( z \) are positive integers. A set of numbers \( (x, y, z) \) that satisfies this equation is called a Markov triple.

Hume Feldman may refer to either the name of a person or a specific concept, but there is limited information available regarding a notable individual or concept by that exact name. It’s possible that it could refer to someone in academia, business, or another field, but without more context, it is difficult to provide a precise answer.