Etiket: Gamma function
Expresssion of factorial and gamma function by Euler’s product
In our study, we first expressed and proved a lemma that we will use in the proof of theorem. Then we state and prove the theorem for factorial. Finally, we arrived at the definition of the gamma function by the Euler’s product.
To Another Definiton From Historical Definition Of The Gamma Function
İn our study, the another definition of the Gamma function has been obtained.
To actual definition from historical definition of the Gamma function
İn our study, the actual definition of the Gamma function has been obtained.
The value of Gamma(1/2)
In our study, we calculate the value of Gamma(1/2).
The value of (1/2)!
In our study, we find the value of (1/2)!.
A property of the gamma function (3)
In our study, a property of the gamma function has been expressed and proven.
A property of the gamma function (2)
In our study, a property of the gamma function has been expressed and proven.
A property of the gamma function (1)
In our study, a property of the gamma function has been expressed and proven.
An important property of the gamma function: The difference, functional or recurrence equation
In our study, the proof of the reduction relation of the gamma function with six different methods is presented.
Some notes on the gamma function
In our study, various definitions of gamma function are given. In addition, historical information is also mentioned.