Akademik Veri Yönetim Sistemi
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, cilt.31, sa.1, 2023 (SCI-Expanded)
This article is devoted to present (q , h) -analogue of power function which satisfies additivity and derivative properties similar to the ordinary power function. In the light of nabla (q , h) -power function, we present (q , h)-analogue of binomial series and conclude that such power function is (q , h)-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 (q , h)-binomial series to classical binomial series, Gauss' binomial and Newton's binomial formulas.