[PDF] Top 20 Some Properties of Orthogonal Polynomials for Laguerre Type Weights
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Some Properties of Orthogonal Polynomials for Laguerre Type Weights
... Sakai, “Convergence of the derivatives of Hermite-Fejér interpolation polynomials of higher order based at the zeros of Freud polynomials,” Journal of Approximation Theory, vol.. Sakai,[r] ... See full document
25
Asymptotic Properties of Orthogonal and Extremal Polynomials
... Bergman polynomials will include one of the most important applications of Bergman polynomials, which is the Bergman Kernel method for numerically approximating conformal ...state some of the key ... See full document
116
On 2 orthogonal polynomials of Laguerre type
... of polynomials or polynomi- als of simultaneous orthogonality studied in [12, 11, 16] which does not really have the same orthogonality relations but are considered to be orthogonal relative to positive ... See full document
20
Kernel Polynomial of 2-Orthogonal Sequence
... Abstract–In this paper, the construction of the ker- nel polynomial of 2-orthogonal polynomials is given. Properties of this polynomial are invertigated. We prove in particular that this polynomial ... See full document
8
orthogonal polynomials
... list some concrete examples of orthogonal polynomials that find frequent use in ...basic properties of these classic series of orthogonal ...Remarkably, some of the ... See full document
13
Some identities of Laguerre polynomials arising from differential equations
... employ orthogonal systems as basis ...generalized Laguerre polynomials are introduced in ap- plying spectral methods for numerical treatments of FDEs in unbounded ...solving some differential ... See full document
9
11. Integral type modification for $q- $Laguerre polynomials
... approximation properties of linear positive op- ¨ erators including the q-Laguerre polynomials in ...Kantorovich type generalization for this operator with the help of Rie- mann type ... See full document
12
Laguerre type Bell polynomials
... Bell polynomials [1] appear in different ...these polynomials have been applied even in many other contexts, such as the Blissard problem (see [20, page 46]), the representation of Lucas polynomials ... See full document
7
8. Integral operators containing Sheffer polynomials
... new type integral operators which involve Sheffer ...approximation properties of the our operators with the help of the universal Korovkin-type property and also establish the rate of convergence by ... See full document
11
Higher order Hermite Fejér interpolation polynomials with Laguerre type weights
... Jung, HS, Sakai, R: Derivatives of orthonormal polynomials and coefficients of Hermite-Fejér interpolation polynomial with exponential-type weights.. Jung, HS, Sakai, R: Markov-Bernstein[r] ... See full document
24
New Extension of Unified Family Apostol Type of Polynomials and Numbers
... Apostol-type polynomials and numbers based on results given in [1] ...derive some properties for these polynomials and obtain some relationships between the Jacobi ... See full document
11
Relativistic Laguerre Polynomials and Splash Pulses
... the type usually referred to as relatively undistorted waves are ...the Laguerre polynomial ...relativistic Laguerre polynomials — introduced about one decade ago within a purely mathematical ... See full document
28
Derivatives of Orthonormal Polynomials and Coefficients of Hermite Fejér Interpolation Polynomials with Exponential Type Weights
... So, we obtain a certain differential equation of higher order with respect to pn wρ2 ; x and we estimate the higher-order derivatives of pn wρ2 ; x and the coefficients of the higher-order [r] ... See full document
29
Derivatives of Integrating Functions for Orthonormal Polynomials with Exponential Type Weights
... So, in this paper we will estimate the higher derivatives of An x and Bn x for the estimates of the higher derivatives of pn wρ2 ; x, because the higher derivatives of pn,ρ x play an imp[r] ... See full document
22
Some properties of Chebyshev polynomials
... In this paper we obtain some new bounds for Chebyshev polynomials and their analogues. They lead to the results about zero distributions of certain sums of Chebyshev polynomials and their analogues. ... See full document
10
Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
... of Laguerre 2D and Hermite 2D polynomials and for products of two Hermite 2D poly- nomials is ...two Laguerre 2D polynomials as in- termediate step to the generating function for products of ... See full document
27
A note on the spectra of tridiagonal matrices
... 1. Introduction and preliminaries. Most of the results on tridiagonal matrices can be seen in the context of orthogonal polynomials. Here, we will see two examples. The aim of this note is to give simplified ... See full document
5
Some properties of the coefficients of cyclotomic polynomials
... Copyright 0 by KAU UN LU 1968 SOME PROPER TIES OF THE COEFFICIENTS OF CYCLOTOMIC POLYNOMIALS Thesis by Kau un Lu In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy Calif[.] ... See full document
69
Some properties of Fibonacci and Chebyshev polynomials
... the properties of Chebyshev polynomials of the first and second kind and those of Fibonacci polynomials and use an elementary method to give Chebyshev polynomials of the first and second kind in ... See full document
12
Some properties of weighted hyperbolic polynomials
... Almost all of the theorems with respect to w-h-polynomials in the unit disk are proved by a simple modification or the methods analogous to the cases for weighted ones in the complex pla[r] ... See full document
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