WebMay 19, 2024 · By the principle of differential subordination and the q -derivative operator, we introduce the q -analog S P s n a i l q ( λ; α, β, γ) of certain class of analytic functions … WebNov 11, 2024 · In this paper, we first investigate some subclasses of q -starlike functions. We then apply higher-order q -derivative operators to introduce and study a new subclass of q -starlike functions, which involves the Janowski functions. Several coefficient inequalities and a sufficient condition are derived.
(q,c)-Derivative operator and its applications - ScienceDirect
WebMay 20, 2015 · In this paper, we introduce the analogue of Caputo type fractional derivatives on a \((q,h)\)-discrete time scale which can be reduced to Caputo type fractional … WebNovel fractional differential operator and its application in fluid dynamics 73 Figure 4. Comparison between velocities of power law (C), exponential law (CF) and Mittage-Leffler … gary walker possilpark
Extended Riemann-Liouville fractional derivative operator and its ...
WebThe quantum (or q-) calculus is an essential tool for studying diverse families of analytic functions, and its applications in mathematics and related fields have inspired … WebA, or pA;DpAqq, is called linear operator from Xto Y (and on Xif X Y) with domain DpAq. We denote by NpAq txPDpAq Ax 0u and RpAq tyPY DxPDpAqwith y Axu the kernel and range of A. 1.1. Closed operators We recall one of the basic examples of an unbounded operator: Let X Cpr0;1sqbe endowed with the supremum norm and let Af f1with DpAq C1pr0;1sq ... WebIn mathematics, in the area of combinatorics and quantum calculus, the q-derivative, or Jackson derivative, is a q-analog of the ordinary derivative, introduced by Frank Hilton Jackson. It is the inverse of Jackson's q-integration. … dave seiler the villa tap