Q c -derivative operator and its applications

Author: cske

August undefined, 2024

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) …

A certain ( p , q ) $ (p,q)$ -derivative operator and associated ...

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 … WebRecently, a great interest to its applications in differential transform methods,in order to get analytical approximate solutions to the ordinary as well as partial differential equations. In this ... The -derivative is a linear operator, i.e., for any constants and and arbitrary functions the long peace definition

Certain subclass of analytic functions based on $ q $-derivative ...

WebJun 6, 2024 · This presumably new q -derivative operator is an extension of the known q -analogue of the Ruscheweyh derivative operator. We also give some interesting … 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 ... the longpen

Applications of $q$-difference symmetric operator in

An expansion of ( q , (cid:2) ) -derivative operator

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 … http://jprm.sms.edu.pk/media/pdf/jprm/volume_16/issue-2/novel-fractional-differential-operator-and-its-application-in-fluid-dynamics.pdf the long penWebMay 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 associated with the generalized Pascal snail. Firstly, we obtain the coefficient estimates and Fekete-Szegö functional inequalities for this class. the long pendulum shown is drawn aside

"WebA successive application of the symmetric q-derivative (q-di erence) operator of symmetric q-calculus as deﬁned in (1.3) leads to symmetric Salagean q-di erential operator which is deﬁne as ... " - Q c -derivative operator and its applications

Q c -derivative operator and its applications

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. … 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 …

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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 … 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, …

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) … Webseveral applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics. …

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 … 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 …

Webstudied with its possible applications in diﬀerent branches of science for ex-amples [3-11]. In [12], new class of conformable derivatives and its properties were introduced in (2015). These operators have applications in control the-ory. Since there are many fractional operators in the existing literature and

WebFeb 1, 2011 · Real functions of quaternion variables are typical cost functions in quaternion valued statistical signal processing, however, standard differentiability conditions in the quaternion domain do not... the long peace videoWebOct 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 … the long pause polynesiaWebOct 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 … the long period of bond maturity leads to