Results 81 to 90 of about 634 (218)

On Jacobi and continuous Hahn polynomials

, 1994
Jacobi polynomials are mapped onto the continuous Hahn polynomials by the Fourier transform and the orthogonality relations for the continuous Hahn polynomials then follow from the orthogonality relations for the Jacobi polynomials and the Parseval formula.
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An addition theorem for someq-Hahn polynomials

Monatshefte f�r Mathematik, 1978
Theq-Hahn polynomials appear as functions on the lattice of subspaces of a finite-dimensional vector space over a finite field. Irreducible representations of the related general linear group are restricted to a maximal parabolic subgroup, and a specific description of the resulting irreducible components leads to an addition formula.
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Quasiexactly solvable problems and the dual (q-)Hahn polynomials [PDF]

, 2000
Igor Krasovsky
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An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation

Mathematics
In this work, we present both analytical and numerical solutions to a seven-parameter confluent Heun-type differential equation. This second-order linear differential equation features three singularities: two regular singularities and one irregular ...
Saiful R. Mondal, Varun Kumar
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Unique Hahn-Banach theorems for spaces of homogeneous polynomials [PDF]

, 2001
Richard M. Aron, Christopher Boyd, Yun Sung Choi   +2 more
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Integral Representations of the Wilson Polynomials and the Continuous Dual Hahn Polynomials

Advances in Applied Mathematics, 1999
Let \(\{p_n(x)\}_{n=0,1, \dots}\) denote the set of monic orthogonal polynomials, \(p_n(x)\) of degree \(n\), associated with the weight function \(w(x)\). Then it is straightforward to show \[ p_n(x)={1\over C} \int^\infty_{-\infty} dx_1w(x_1) \dots\int^\infty_{- \infty} dx_Nw(x_N) \prod^N_{l=1} (x-x_1) \prod_{1\leq ...
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Optimal reconstruction and compression of signals and images by Hahn moments and artificial bee Colony (ABC) algorithm. [PDF]

Multimed Tools Appl, 2022
Bencherqui A, Daoui A, Karmouni H, Qjidaa H, Alfidi M, Sayyouri M.   +5 more
europepmc   +1 more source

From sl_q(2) to a Parabosonic Hopf Algebra

Symmetry, Integrability and Geometry: Methods and Applications, 2011
A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed.
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov   +2 more
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An accurate numerical scheme for three-dimensional variable-order time-fractional partial differential equations in two types of space domains

Mathematical Modelling and Analysis
We consider the discretization method for solving three-dimensional variable-order (3D-VO) time-fractional partial differential equations. The proposed method is developed based on discrete shifted Hahn polynomials (DSHPs) and their operational matrices.
Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi   +2 more
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3D Object Recognition Using Fast Overlapped Block Processing Technique. [PDF]

Sensors (Basel), 2022
Mahmmod BM, Abdulhussain SH, Naser MA, Alsabah M, Hussain A, Al-Jumeily D.   +5 more
europepmc   +1 more source