2024 Q c -derivative operator and its applications

Q c -derivative operator and its applications

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August undefined, 2024

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 … WebDec 7, 2024 · In this paper, our principle aim is to establish a new extension of the Caputo fractional derivative operator involving the generalized hypergeometric type Further …

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WebA bounded linear operator T such that Tu,v H u,Tv H for all u,v in H is said to be self adjoint. We are going to be interested in differential operators which are self adjoint but differential operators are typically not bounded from H into itself. Unbounded Linear Operators Consider the operator Tu x u x, for u D T C1 0,1 L2 0,1 H. WebQ-analog of the ordinary derivative In mathematics, in the area of combinatoricsand quantum calculus, the q-derivative, or Jackson derivative, is a q-analogof the ordinary … surbew surfer

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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 of q -starlike functions, which involves the Janowski functions. Several coefficient inequalities and a sufficient condition are derived. 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 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 … surbhayee udyam private limited

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

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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 … 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 … surbeys.ons.gov.ukWebMay 9, 2024 · This manuscript deals with fractional differential equations including Caputo–Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and contraction principle, respectively. As an application, the iterative Laplace transform … surbhi arora economics book pdf

"Webseveral applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics. … " - Q c -derivative operator and its applications

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, …

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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. … WebAnuvesh Kumar. 1. If that something is just an expression you can write d (expression)/dx. so if expression is x^2 then it's derivative is represented as d (x^2)/dx. 2. If we decide to use the functional notation, viz. f (x) then derivative is represented as d f (x)/dx.

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 … 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 …

http://jprm.sms.edu.pk/media/pdf/jprm/volume_16/issue-2/novel-fractional-differential-operator-and-its-application-in-fluid-dynamics.pdf 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 ...

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 …

WebNov 23, 2016 · The quantum calculus has many applications in the fields of special functions and many other areas (see [1–7]).Further there is possibility of extension of the … surbex gold tablet usesWebA.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 ... surbhi driving school wakadWebOct 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 … surbex z benefits for maleWebMar 18, 2024 · The quantum (or -)calculus is an essential tool for studying diverse families of analytic functions, and its applications in mathematics and related fields have inspired researchers. Srivastava [8] was the first person to apply it … surbhi gupta swiss reWebMay 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. surbhi chandana photosWebThe 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 … surbhi engineers sector 58 faridabadhttp://jprm.sms.edu.pk/media/pdf/jprm/volume_16/issue-2/novel-fractional-differential-operator-and-its-application-in-fluid-dynamics.pdf surbhi chandna serials