Orthogonal Polynomials and Special Functions (Mathematics Essentials)
Gebundenes Buch

Orthogonal Polynomials and Special Functions (Mathematics Essentials)

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Orthogonal polynomials are a family of polynomials, wherein any two different polynomials in the sequence are orthogonal to each other under some inner product. Classical orthogonal polynomials, Hermite polynomials, Laguerre polynomials, Jacobi polynomials, and Gegenbauer polynomials are a few examples of orthogonal polynomials. These polynomials are used for least square approximations of a function, difference equations, and Fourier series. Another major application of orthogonal polynomials is error-correcting code and sphere packing. Orthogonal polynomials and special functions are useful ...