Results 161 to 170 of about 290,072 (190)

Differential polynomials generated by linear differential equations

Complex Variables, Theory and Application: An International Journal, 2004
This article is devoted to considering value distribution theory of differential polynomials generated by solutions of linear differential equations in the complex plane. In particular, we consider normalized second-order differential equations f″+A(z)f=0, where A(z) is entire.
Ilpo Laine, Jarkko Rieppo †
openaire   +1 more source

Polynomial-Gaussian Solutions of Stochastic Differential Equations

Journal of Mathematical Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Plucinska, A., Dziewa, D., Bryk, A.
openaire   +2 more sources

ON DIFFERENTIAL EQUATIONS ASSOCIATED WITH SYLVESTER POLYNOMIALS

Far East Journal of Mathematical Sciences (FJMS), 2016
Summary: In this paper, we study ordinary differential equations which are derived from the generating function of Sylvester polynomials. In addition, we give some new identities for the Sylvester polynomials arising from those differential equations.
Kim, Taekyun, Kim, Dae San, Kwon, Hyuck-In, Seo, Jong-Jin   +3 more
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Orthogonal polynomials satisfying fourth order differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisThese polynomials, which are intimately connected with the Legendre, Laguerre and Jacobi polynomials, are orthogonal with respect to Stieltjes weight functions which are absolutely continuous on (− 1, 1), (0, ∞) and (0, 1), respectively, but which have jumps at some of the intervals' ends. Each set satisfies a fourth order differential equation
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Characterizations of Orthogonal Polynomials Satisfying Differential Equations

SIAM Journal on Mathematical Analysis, 1994
The aim of the authors is to give some new characterizations of differential equations of the form \[ \sum_{i=0}^ N l_ i(x) y^{(i)} (x)= \lambda y(x), \tag{*} \] which have polynomial solutions (for certain values of \(\lambda\)) constituting an orthogonal set.
KWON, KH Kwon, Kil Hyun, LITTLEJOHN, LL, YOO, BH   +2 more
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Taylor polynomial solutions of linear differential equations

Applied Mathematics and Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomial Approximation of Differential Equations

1992
Special Families of Polynomials.- Orthogonality.- Numerical Integration.- Transforms.- Functional Spaces.- Results in Approximation Theory.- Derivative Matrices.- Eigenvalue Analysis.- Ordinary Differential Equations.- Time-Dependent Problems.- Domain-Decomposition Methods.- Examples.- An Example in Two Dimensions.
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DIFFERENTIAL EQUATIONS WITH POLYNOMIAL SOLUTIONS

The Quarterly Journal of Mathematics, 1949
openaire   +4 more sources

A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems

IEEE Transactions on Fuzzy Systems, 2021
Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
exaly  

Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis

Computer Methods in Applied Mechanics and Engineering, 2022
Jie Liu
exaly