Special Functions and Their Applications

Special functions are mathematical functions that have established names  and notations due to their importance in mathematical analysis,  functional analysis, geometry, physics, or other applications. This  short text gives clear descriptions and explanations of the Gamma  function, the Probability Integral and its related functions, Spherical  Harmonics Theory, The Bessel function, Hermite polynomials and Laguerre  polynomials. Each chapter finishes with a description of how the  function is most commonly applied and a set of examples for the student  to work through.