1. Mathematics 2 The ninth and tenth Lectures
The sixth week
/ 6/ 1438 هـ
أ / سمر السلمي

2. Outline for today Office Hours fifth homework due
Chapter three : Special functions
The Factorial Function
Definition of the gamma Function, Recursion Relation
the gamma Function of negative numbers
some important formulas involving gamma Function

3. Office Hours Time of Periodic Exams
Sunday, Tuesday and Thursday from 11 to 12 p.m.
you can put any paper or homework in my mailbox in Faculty of Physics Department
I will put any announcement or apology in my website ( , so please check it
my is for any question.
every Wednesday a homework will be submit at my mailbox (or if you did not came to university )
every week a worksheet will be submit in class
Time of Periodic Exams
The first periodic exam in / 6 / 1438 h every in her group
The second periodic exam in / 8 / 1438 h every in her group

4. The Fifth Homework
I put the fifth homework in my website in the university at Friday
homework Due Wednesday 15 / 7/ 1438 هـ in my mailbox in Faculty of Physics Department
I will not accept any homework after that , but if you could not come to university you should sent it to me by in the same day than put the paper next day in my mailbox

5. Chapter One: Ch 11, pg. 457
Gamma function :
The Factorial Function :
Section 2, pg
Definition of the gamma Function, Recursion Relation
Section 3, pg
the gamma Function of negative numbers
Section 4, pg
some important formulas involving gamma Function
Section 5, pg

6. The Factorial Function
Definition of the gamma Function, Recursion Relation
Recursion Relation
Proof : the last equation

7. Definition of the gamma Function, Recursion Relation
Find the value of gamma function?
Г(10) / Г(8) (worksheet)
Find the value of gamma function between 0 and 1 for Г (2.5) ?

9. Definition of the gamma Function, Recursion Relation
Express the following integrals as gamma functions and evaluate? then use gamma function's table in previous slide

10. the gamma Function of negative numbers
We use the Recursion Relation until we have positive number or use the gamma function's table
Find the value of gamma function? use gamma function's table
Г(-0.3)
Г(-2.4)

11. some important formulas involving gamma Function
prove it
Prove that

12. Next class review
Beta functions
the Error Function