Higher Mathematics for Science, Technology and Engineering

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Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The ...
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Special Functions

Pp. 290-341 (52)

S. G. Ahmed

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.

Affiliation:

Department of Engineering Physics and Mathematics, Faculty of Engineering, Zagazig University, Egypt.