[PDF] Top 20 Clifford-Hermite polynomials in fractional Clifford analysis
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Clifford-Hermite polynomials in fractional Clifford analysis
... standard Clifford-Hermite polynomials to the new framework of fractional Clifford analysis with respect to the Riemann-Liouville derivative in a symbolic ... See full document
11
Fischer Decomposition and Cauchy-Kovalevskaya extension in fractional Clifford analysis: the Riemann-Liouville case
... corresponds, in some sense, to a narrow class of functions; however, this class of functions is very important for applications, because the character of the majority of dynamical processes is smooth enough and ... See full document
16
Fischer decomposition in generalized fractional ternary Clifford analysis
... review, in the classic Clifford algebra setting, the construction of a monogenic function theory is based on the construction of a so-called Howe dual pair consisting of a Super-Lie algebra (usually ... See full document
12
Discrete Clifford analysis
... Bear in mind these operators shall be understood as Clifford vectors and due to the fact that the (geometric) Clifford product is non-commutative, we will introduce left and right multiplications as ... See full document
147
Application of Fractional Order Legendre Polynomials: a New Procedure for Solution of Linear and Nonlinear Fractional Differential Equations under $m$-point Nonlocal Boundary Conditions
... From analysis and experimental results we observe that the proposed method is simple and provides a very high accurate estimate of the ...easily. In our test problems we consider up to 9-point boundary ... See full document
23
A matrix recurrence for systems of Clifford algebra-valued orthogonal polynomials
... aspects in Clifford ...subjects in the study of monogenic functions by Klaus G¨ urlebeck and his disciples and collaborators was the construction of orthonormal polynomial systems in the L ... See full document
11
Application of Bernoulli polynomials for solving variable-order fractional optimal control-affine problems
... Bernoulli polynomials, named after Jacob Bernoulli (1654–1705), occur in the study of many special functions and, in particular, in relation with fractional calculus, which is a ... See full document
18
Inequalities and consequences of new convolutions for the fractional Fourier transform with Hermite weights
... consequences in a very global ...follows. In the next section, we provide three new convolution theorems which contain infinitely many new convolutions, and we prove their fundamental ...comprehensive ... See full document
11
Some properties of the fractional circle Zernike polynomials
... studied in the ...help in the study of each cornea aberration. Moreover, the analysis of the presented figures allows us to induce that this new class of fractional circle polynomials ... See full document
9
Fischer decomposition in generalized fractional Clifford Analysis
... 6]. In more restrictive settings, this is called Howe dual pair technique (see ...problems in the setting of Dirac operators with fractional ...that in general they do not allow a construction ... See full document
12
Some results in fractional Clifford analysis
... What is nowadays called (classic) Clifford analysis consists in the establishment of a function theory for functions belonging to the kernel of the Dirac operator. While such functions can very well ... See full document
5
Exploring curvilinearity through fractional polynomials in management research
... engage in data exploration. Data exploration allows us to look for phenomena in a sea of noise (Haig, ...techniques in data analysis that can help us discover phenomena leading to new ... See full document
44
Cauchy-Kovalevskaya extension theorem in fractional Clifford analysis
... the fractional approaches is the presence of non-local fractional differential ...a fractional differential used to describe the dynamics is non-negative ...functions in the case of the ... See full document
14
Numerical solution for fractional variational problems using the Jacobi polynomials
... presented in Eqs. (1)-(2). We can find several methods in the literature to solve fractional problem types [4, 15, ...described in the following way: by using the Jacobi polynomials, ... See full document
12
Clifford Jacobs, Brendon Pearce, Mornè Du Plessis, Nisreen Hoosain and Mongi Benjeddou
... with in- creased geographic distance from Africa, and (iii) linkage disequilibrium (LD) patterns increase proportionally to the distance from Africa (Jakobsson et ... See full document
10
Fractional state space analysis of economic systems
... improvements in the inter-war period included the revolutionizing development of electricity, the automobile and ...advances in information technology—computer-assisted machinery and robots, the Internet, ... See full document
20
From hermitean clifford analysis to subelliptic dirac operators on odd dimensional spheres and other CR manifolds
... In [14] and elsewhere it is shown that the Euclidean Dirac operator is invariant under conformal transfor- mations. A theorem of Liouville tells us that for dimensions 3 and above the only conformal ... See full document
10
On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl_{2}
... established in [2] and it was used in [15, Corollary ...S. In particular, if the Weyl function differs from the constant for a fixed boundary triplet, then this property remains true for Weyl ... See full document
20
Interfaces entre a Antropologia e o Direito: uma discussão sobre o anti anti-relativismo de Clifford Geertz
... Fofana [mãe da menina] deixou realizar. Pois ele é ligado a um contexto cultural totalmente diferente, que podemos recusar, mas não nos dispensa, para apreciar sua responsabilidade pen[r] ... See full document
15
Para cada universo colecionista, suas fontes: dinâmicas informacionais nas tramas de Clifford Janeway :: Brapci ::
... (considered in Library Science and Information Science studies as a source of ...constituted in a way that makes analysis/interpretation and representation of socio-historical references possible, ... See full document
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