Results 81 to 90 of about 233,365 (231)

Use of bessel polynomials for solving differential difference equations

open access: yesArab Journal of Basic and Applied Sciences, 2019
In this paper, the linear differential difference equation subject to the mixed conditions has been solved numerically using Bessel polynomials. The solution is obtained in terms of Bessel polynomials.
Zaffer Elahi   +2 more
doaj   +1 more source

On the divided differences of the remainder in polynomial interpolation

open access: yesJournal 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
openaire   +2 more sources

Types of singularity of components of difference polynomials [PDF]

open access: yesAequationes 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]).
openaire   +1 more source

Several characterizations of bivariate quantum-Hermite-Appell Polynomials and the structure of their zeros

open access: yesAIMS Mathematics
This paper investigated the fundamental characteristics and uses of a new class of bivariate quantum-Hermite-Appell polynomials. The series representation and generating relation for these polynomials were derived.
Mohra Zayed   +4 more
doaj   +1 more source

A Non-Standard Generating Function for Continuous Dual $q$-Hahn polynomials

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2011
We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials $p_{n} (x; a, b, | q)$, which has surfaced in a recent work of the present authors on the construction of lifting $q$-difference operators in ...
Mesuma Atakishiyeva, Natig Atakishiyev
doaj   +1 more source

Application of the Variational Iteration Method to Strongly Nonlinear 𝑞-Difference Equations

open access: yesJournal of Applied Mathematics, 2012
The theory of approximate solution lacks development in the area of nonlinear 𝑞-difference equations. One of the difficulties in developing a theory of series solutions for the homogeneous equations on time scales is that formulas for multiplication of ...
Hsuan-Ku Liu
doaj   +1 more source

Difference Equations for Generalized Meixner Polynomials

open access: yesJournal 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
openaire   +2 more sources

A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE

open access: yesПроблемы анализа
In this contribution, a new set of 𝑑-orthogonal polynomials of Meixner type is introduced. Some properties of these polynomials, including an explicit formula, hypergeometric representation, as well as higher-order recurrence relation, and difference ...
W. Benamira, A. Nasri
doaj   +1 more source

Difference inequalities for polynomials in $L_0$

open access: yesMatematychni Studii, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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