Mathematics 2 The ninth and tenth Lectures The sixth week 13 - 17/ 6/ 1438 هـ أ / سمر السلمي

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

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 (https://uqu.edu.sa/smsolamy) , so please check it my email is smsolamy@uqu.edu.sa for any question. every Wednesday a homework will be submit at my mailbox (or email 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 20- 21 -22 / 6 / 1438 h every in her group The second periodic exam in 11-12-13 / 8 / 1438 h every in her group

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 email in the same day than put the paper next day in my mailbox

Chapter One: Ch 11, pg. 457 Gamma function : The Factorial Function : Section 2, pg 457 -458 Definition of the gamma Function, Recursion Relation Section 3, pg 458 -460 the gamma Function of negative numbers Section 4, pg 460 -461 some important formulas involving gamma Function Section 5, pg 461 -462

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

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) ?

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

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)

some important formulas involving gamma Function prove it Prove that

Next class review Beta functions the Error Function