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We introduce higher order polynomial deformations of $A_1$ Lie algebra. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use...
Let be a hyperbolic polynomial-like function of the form where are given positive real numbers and . Let be the critical points of lying in . Define the ratios We prove that . These boun...
We introduce a method to find exact traveling wave solutions for reaction diffusion systems of equations with nonlinear reaction polynomial terms. We will apply the method on an important kinds of rea...
We present a nonparametric approach based on local polynomial regression for ensemble forecast of time series. The state space is first reconstructed by embedding the univariate time series of the res...
In this paper, a new Ritt-Wu's characteristic set method for ordinary di®erence systems is proposed, which is valid for any admissible ordering. New deˉnition for irreducible chains and new zero ...
We prove several basic properties for di®erence ascending chains including a necessary and su±cient condition for an ascending chain to be the characteristic set of its saturation ideal and a nec...
We represent new estimates of errors of quadrature formula, formula of numerical differentiation and approximation using Taylor polynomial. To measure the errors we apply representation of the remaind...
In this paper, we propose a non-polynomial spline based method to develop a numerical method for approximation to the Burgers' equation. Applying the Von-Neumann stability analysis, we show that the p...
A characteristic set theory for partial difference polynomial systems is proposed. We introduce the concept of coherent and regular ascending chains and prove that a partial difference ascending chain...
Let denote the polar derivative of a polynomial of degree with respect to real or complex number . If does not vanish in ALIGN="MIDDLE" BORDER="0" src="images/144_07...
Convolution Operators with Homogeneous Singular Measures on $R^{3}$ of Polynomial Type. The Remainder Case.
Inequalities of Bonferroni-Galambos Type with Applications to the Tutte Polynomial and the Chromatic Polynomial.
We give explicit bounds for the absolute values of the coefficients of the divisors of a complex polynomial. They are expressed in function of the coefficients and of upper and lower bounds for the ro...

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