Special functions
This course is scheduled for the physics department students, third year
In the field of mathematics there are functions in different forms and attributes. Sometimes the functions share certain attributes and at other times the functions have their own qualities which are not shared by other functions and are therefore called special function.
These functions are highly capable of simplifying scientific issues towards finding solutions
In this course we will discuss some of the basic concepts and points that the course requires, then we turn to study two types of special functions:
The first type that is useful and practical is to find solutions to real integrations difficult and complex and may be complementary integrations on one hand or more in an easy and simple way to know the characteristics of these functions as:
Gamma function-
The beta function -
Second, we discuss some of the functions that are a solution to a difficult differential equation that we solve using the series (Frobenis method) and the functions we will discuss
- Bessel function
- Hermite function
Lagender function-
Lager function -
Gaussian function (geometric function) -
Chepchev function -
Good luck for everbody
Ali Elhelaly