Higher Mathematics for Science, Technology and Engineering

Author(s): S. G. Ahmed

DOI: 10.2174/9781681082813116010009

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Special Functions

Pp: 290-341 (52)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

Special functions are mostly wide and found in different branches of practical and engineering problems. No one can cover all different types and classifications of such functions. In the present chapter, we will do our best to cover most and famous special functions. This study will cover main topics in each type starting from the basic definition, mathematical formula, properties and more.

Keywords:

Bessel functions, beta function, error function, Gamma function, Legendre polynomials, orthogonal property, Rodrige polynomials.

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