Legendre Polynomials And Functions

Starting from the Legendre differential equation it introduces the Legendre polynomials, their generating function, their recurrence relations, and the orthogonal property. It also does all this for the associated Legendre differential equation. Other topics are the integral and differential forms, Schaefli's integral, series of Legendre polynomials, Legendre functions of the second kind and the relations between the two kinds, and the shifted Legendre polynomials. There is also a useful summary of the polynomials and functions for quick reference. Finally there are 36 worked-out examples and 37 exercises with hints for the difficult ones.The book is very pleasantly laid out with graphs of the various functions and is compact with only 95 pages. Copious references are surplied

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