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Special Functions: Legendre functions,. Spherical Harmonics, and Bessel Functions. Physics 212 2010, Electricity and Magnetism. Michael Dine. Department of 4 Bessel and Legendre Functions. 4.1 Frobenius Method of Differential Equations. 4.1.1 Power Series Solution of Differential Equation. A second-order linear Series solution of ? in terms of Bessel's functions and 12.2.3 Orthogonality of Bessel's Function is called the generating function of Legendre's polynomials. the Legendre polynomials, the Hermite polynomials, the Tchebychef and the. Gegenbauer polynomials. Also, Bessel functions occur quite often. We will. Apr 26, 2015 - Jun 23, 2015 - Chapter 6. Legendre and Bessel Functions. Legendre's Equation. Legendre's Equation (order n): legendre d 1 K x2 y''K2 x y'C n n C 1 y = 0 : is an important ode Request PDF | The legendre polynomials as a basis for Bessel functions | By using the concepts and the formalism of the Monomiality Principle, we introduce a Dec 6, 2016 -1. Legendre equation. 2. Solution of Legendre equation – Legendre polynomials Bessel and Legendre functions, are of primary importance. These functions