Results 81 to 90 of about 601,525 (187)
Partial Differential Equations in Applied MathematicsIt has long been a concern of researchers to address the challenges of solving higher-order differential equations. In order to approximate 11th-order boundary value problems (BVPs), this work presents a novel numerical approach that combines ...
Aasma Khalid +3 more
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The Integration Order of Vector Autoregressive Processes [PDF]
We show that the order of integration of a vector autoregressive process is equal to the difference between the multiplicity of the unit root in the characteristic equation and the multiplicity of the unit root in the adjoint matrix polynomial.
Massimo Franchi
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On the divided differences of the remainder in polynomial interpolation
Journal of Approximation Theory, 2004 In this paper the authors present a number of formulas for the divided differences of the remainder of the interpolation polynomial that include some recent formulas as special cases, see for example, \textit{C. de Boor} [J. Approximation Theory 122, No. 1, 10--12 (2003; Zbl 1022.65024)].
Xinghua Wang, Ming-Jun Lai, Shijun Yang
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Types of singularity of components of difference polynomials [PDF]
Aequationes Mathematicae, 1972 Let S be a set of difference polynomials. The perfect difference ideal {S} [2, p. 76 and p. 82] may properly contain the difference ideal ~/[S]. It follows that in determining the irreducible components of the manifold of S it is not sufficient to consider only factorizations of polynomials of n/IS ] (or, equivalently, of IS]).
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Shock and Vibration, 2015 The paper presents an effective approach for damage identification of bridge based on Chebyshev polynomial fitting and fuzzy logic systems without considering baseline model data.
Yu-Bo Jiao +3 more
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Difference Equations for Generalized Meixner Polynomials
Journal of Mathematical Analysis and Applications, 1994 The paper, dedicated to Richard Askey, deals with the solution to the problem posed by Askey and Erice (1990). He suggested to define generalized Meixner polynomials by adding a point mass at zero to the classical discrete weight function and then obtaining difference equations satisfied by these polynomials which might turn out to be of finite order ...
H. Vanhaeringen, H. Bavinck
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Difference inequalities for polynomials in $L_0$
Matematychni Studii, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Difference Equation for Modifications of Meixner Polynomials
Journal of Mathematical Analysis and Applications, 1995 The authors study the properties of the generalized Meixner polynomials \(M^{\gamma, \mu, A}_n(x)\). These ones are orthogonal with respect to the linear functional \(U\) on the space of polynomials with real coefficients, \[ \langle U, P\rangle= \sum_{x\in \mathbb{N}} {\mu^x \Gamma(\gamma+ x)\over \Gamma(\gamma) \Gamma(1+ x)} P(x)+ AP(0),\quad x\in ...
Renato Alvarez-Nodarse +1 more
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Differential-difference properties of hypergeometric polynomials [PDF]
Mathematics of Computation, 1975 We develop differential-difference properties of a class of hypergeometric polynomials which are a generalization of the Jacobi polynomials. The formulas are analogous to known formulas for the classical orthogonal polynomials.
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Linear Difference Equations and Exponential Polynomials [PDF]
Transactions of the American Mathematical Society, 1948 In Theorem 2, equation (1) is studied under the assumptions that k(x) is analytic in a sector S (3): I arg x I
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