Abstract
In this paper we prove an identity involving the Lambert W function which is derived through the solution of an instance of the Abel differential equation of the first kind. For x ∈ ℜ, the Lambert W function is defined as the principle branch of the function that satisfies the following equation Lambert W (x) e LambertW(x) = x. The Abel Dif dy(t) ferential Equation of the First Kind is defined as . The identity is proved through a connection of the solution of a special case of this type of differential equations with the solutions of a third degree polynomial equation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Discrete Mathematical Sciences and Cryptography
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
