Abstract
This article is devoted to present -analogue of power function which satisfies additivity and derivative properties similar to the ordinary power function. In the light of nabla -power function, we present -analogue of binomial series and conclude that such power function is -analytic. We prove the analyticity by showing that both the power function and its absolutely convergent Taylor series solve the same IVP. Finally, we present the reductions of -binomial series to classical binomial series, Gauss' binomial and Newton's binomial formulas.
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 callDisclaimer: 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.
