Power function and binomial series on T(qh)
Abstract
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.
URI
http://dx.doi.org/10.1080/27690911.2023.2168657https://dspace.yasar.edu.tr/handle/20.500.12742/19354
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