Special Functions of Mathematical Physics – V. Uvarov, A. Nikiforov – 1st Edition

Description

With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and mechanics.

We have not attempted to provide the most extensive collection possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it provides a simple and effective method for the independent solution of that arise in in physics, engineering and mathematics.

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Table of Contents


1: Foundations of the Theory of Special Functions
2: The Classical Orthogonal Polynomials
3: Bessel Functions
5: Hypergeometric functions
6: Solution of some problems of Mathematical Physics, Quantum Mechanics, and Numerical Analysis

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