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Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality
Satoshi Tsujimoto+2 more
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Characterization of symmetrical Hq-Laguerre-Hahn orthogonal polynomials of class zero
Sobhi Jbeli, L. Khériji
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Nonnegativity of a discrete Poisson kernel for the Hahn polynomials
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Examining the impact of a change in maternity leave policy in Canada on maternal mental health care visits to the physician. [PDF]
Larose MP+3 more
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Lengths of Roots of Polynomials in a Hahn Field
Algebra and Logic, 2021Let K be an algebraically closed field of characteristic 0, and let G be a divisible ordered Abelian group. Maclane [Bull. Am. Math. Soc., 45, 888-890 (1939)] showed that the Hahn field K((G)) is algebraically closed. Our goal is to bound the lengths of roots of a polynomial p(x) over K((G)) in terms of the lengths of its coefficients.
K. Lange, Julia F. Knight
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SIAM Journal on Mathematical Analysis, 1970
The Hahn Polynomials are discrete analogues of the Jacobi polynomials. Here we try to ascertain the depth of the analogy, by examining the relation between these two sets. We also obtain bounds on the integral of the Hahn polynomial which corresponds to the Legendre polynomial.
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The Hahn Polynomials are discrete analogues of the Jacobi polynomials. Here we try to ascertain the depth of the analogy, by examining the relation between these two sets. We also obtain bounds on the integral of the Hahn polynomial which corresponds to the Legendre polynomial.
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Stable Computation of Hahn Polynomials for Higher Polynomial Order
2020 International Conference on Intelligent Systems and Computer Vision (ISCV), 2020In this paper, we propose a new algorithm for computing Hahn polynomial coefficients (HPCs) for higher polynomial order, which greatly reduces the spread of numerical defects associated with Hahn polynomials (HPs) using conventional methods. The proposed method is used to reconstruct large 2D images.
Mhamed Sayyouri+3 more
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Associated Continuous Hahn Polynomials
Canadian Journal of Mathematics, 1991AbstractExplicit solutions to the recurrence relation for associated continuous Hahn polynomials are derived using 3F2 contiguous relations. These solutions are used to obtain a new continued fraction and the associated absolutely continuous measure. An exceptional case is shown to yield entry 33 in Chapter 12 of Ramanujan's second notebook.
Dharma P. Gupta+2 more
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Journal of Mathematical Physics, 1993
Continuous Hahn polynomials Sn(x) appear in a formulation of quantum mechanics on a discrete time lattice, where they form a natural basis for the state vectors. In this paper we derive some of their generating functions, the expression of the raising and lowering operators and give a lower bound for the largest root of the equation Sn(x)=0.
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Continuous Hahn polynomials Sn(x) appear in a formulation of quantum mechanics on a discrete time lattice, where they form a natural basis for the state vectors. In this paper we derive some of their generating functions, the expression of the raising and lowering operators and give a lower bound for the largest root of the equation Sn(x)=0.
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