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Q c -derivative operator and its applications

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 https://shieldsofarms.com

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

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Q c -derivative operator and its applications

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WebFeb 15, 2010 · In this paper, we introduce new concept of (q, c)-derivative operator of an analytic function, which generalizes the ordinary q-derivative operator.From this definition, we give the concept of (q, c)-Rogers-Szegö polynomials, and obtain the expanded theorem involving (q, c)-Rogers-Szegö polynomials.In addition, we construct two kinds (q, c) … WebThe main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by Srivastava et al. [22] and investigate its various (potentially) useful and (presumably) new properties and formulas, for example, integral representations, Mellin transforms, generating functions, …

Q c -derivative operator and its applications

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WebWe give the concept of Generalized Rogers–Szegö polynomials based on the ( q , λ) - derivative operator and ( q , μ) -derivative operator. Then we use the method of Liu’s calculus to obtain the expansion theorem involving Generalized Rogers–Szegö polynomials. In addition, we use two kinds of the ( q , λ) -exponential functions and extend some …

WebOct 1, 2024 · Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications. In this paper, our investigation is motivated by the concept of (q, c) … WebJul 1, 1993 · Abstract. The following statement is proved. If the q -derivative operator D q is defined by [formula] for functions ƒ which are differentiable at x = 0, then we have for every positive integer n [formula] for every function ƒ whose n th derivative at x = 0 exists. We give a proof in both the real variable and the complex variable case.

WebIn this paper, the author define the generalized q-derivative oprator and obtain its relation with shift operator.Also, we present the discrete version of Leibtz theorem according to the generalized qderivative operator.By defining its inverse,and using Stirling numbers of first kind, we establish formula for the sum of higher power of geometric progression in the … WebOct 1, 2024 · In this paper, we introduce new concept of (q,c)-derivative operator of an analytic function, which generalizes the ordinary q-derivative operator. From this …

Webon the line, where we identify the differential operator D with the basis tangent vector a/ax. The second subalgebra is the space M of multiplica- tion operators, which are differential operators (1) having no derivative term, i.e., f z 0, which …

WebThe derivative is a central concept in calculus and has applications in many disciplines. This study explored students' understanding of derivatives with a particular focus on the graphical (geometric) representation. The participants were four Mathematics Honours students from a university in Lesotho. Data were generated from the written responses to … dave seed breadWebA.1.3 Duality Conjugation and Co-differential Operator Another crucial ingredient for the application of this formalism to physical models is the so-called Hodge-duality operation, which associates to each p-form its (D−p)-dimensional “complement”. The dual of a p-form A∈Λp is a mapping :Λp → ΛD−p, defining the (D−p)-form A ... gary walkers tricon traininghttp://jprm.sms.edu.pk/media/pdf/jprm/volume_16/issue-2/novel-fractional-differential-operator-and-its-application-in-fluid-dynamics.pdf garywallaceauc