Abstract
This paper presents a newly extended gamma function for positive real number x≥1 and correct the error in the existing gamma function. The newly extended gamma function is a special function to compute the factorial for positive real values by the integral.



![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png)