Associated dual Hahn polynomials

1988 ◽  
pp. 251-254 ◽  
Author(s):  
Mourad E. H. Ismail ◽  
Jean Letessier ◽  
Galliano Valent
Keyword(s):  
Hahn Polynomials

Parameter estimation of discrete systems via Hahn polynomials

1987 ◽  
Vol 46 (5) ◽  
pp. 1605-1619 ◽  
Author(s):  
CHYI HWANG ◽  
CHYI-TSONG CHEN ◽  
YEN-PING SHIH
Keyword(s):  
Parameter Estimation ◽  
Discrete Systems ◽  
Hahn Polynomials

scholarly journals A difference equation and Hahn polynomials in two variables

1981 ◽  
Vol 92 (1) ◽  
pp. 57-71 ◽  
Author(s):  
Charles Dunkl
Keyword(s):  
Difference Equation ◽  
Hahn Polynomials

scholarly journals The Weyl algebra, spherical harmonics, and Hahn polynomials

2002 ◽  
Vol 55 ◽  
pp. 309-322
Author(s):  
Ewa Gnatowska ◽  
Aleksander Strasburger
Keyword(s):  
Spherical Harmonics ◽  
Weyl Algebra ◽  
Hahn Polynomials

Partial 3D Image Reconstruction by Cuboids Using Stable Computation of Hahn Polynomials

2021 ◽  
pp. 831-842
Author(s):  
Mohamed Amine Tahiri ◽  
Hicham Karmouni ◽  
Ahmed Tahiri ◽  
Mhamed Sayyouri ◽  
Hassan Qjidaa
Keyword(s):  
Image Reconstruction ◽  
3D Image ◽  
3D Image Reconstruction ◽  
Hahn Polynomials ◽  
Stable Computation

scholarly journals Grassmann graphs, degenerate DAHA, and non-symmetric dual q-Hahn polynomials

2020 ◽  
Vol 588 ◽  
pp. 160-195
Author(s):  
Jae-Ho Lee
Keyword(s):  
Hahn Polynomials

scholarly journals Bivariate Hahn moments for image reconstruction

2014 ◽  
Vol 24 (2) ◽  
pp. 417-428 ◽  
Author(s):  
Haiyong Wu ◽  
Senlin Yan
Keyword(s):  
Image Reconstruction ◽  
Numerical Stability ◽  
Parameter Selection ◽  
Experimental Results ◽  
Grayscale Image ◽  
Orthogonal Moments ◽  
Binary Images ◽  
Hahn Polynomials ◽  
Discrete Orthogonal ◽  
Computational Aspects

Abstract This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability. Their computational aspects are discussed in detail. The principle of parameter selection is established by analyzing several plots of polynomials with different kinds of parameters. Appropriate parameters of binary images and a grayscale image are obtained through experimental results. The performance of the proposed moments in describing images is investigated through several image reconstruction experiments, including noisy and noise-free conditions. Comparisons with existing discrete orthogonal moments are also presented. The experimental results show that the proposed moments outperform slightly separable Hahn moments for higher orders.

Discrete Hahn polynomials for numerical solution of two-dimensional variable-order fractional Rayleigh–Stokes problem

2018 ◽  
Vol 37 (4) ◽  
pp. 5274-5292 ◽  
Author(s):  
Farideh Salehi ◽  
Habibollah Saeedi ◽  
Mohseni Moghadam Moghadam
Keyword(s):  
Numerical Solution ◽  
Stokes Problem ◽  
Variable Order ◽  
Two Dimensional ◽  
Hahn Polynomials ◽  
Dimensional Variable

scholarly journals Dual -1 Hahn polynomials and perfect state transfer

2012 ◽  
Vol 343 ◽  
pp. 012125 ◽  
Author(s):  
Luc Vinet ◽  
Alexei Zhedanov
Keyword(s):  
Perfect State ◽  
Hahn Polynomials ◽  
State Transfer ◽  
Perfect State Transfer

ALTERNATIVE PROOFS OF GENERATING FUNCTIONS FOR HAHN POLYNOMIALS AND SOME APPLICATIONS

2011 ◽  
Vol 14 (04) ◽  
pp. 571-590 ◽  
Author(s):  
JIAN CAO
Keyword(s):  
Generating Functions ◽  
Hahn Polynomials ◽  
Moments Method

In this paper, utilizing the moments representations of Hahn polynomials, we show how to derive their bilinear, trilinear and multilinear generating functions. Moreover, from Euler's finite q-differences, we deduce the q-Chu–Vandermonde formula and consider its generalizations by the moments method.

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