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.
