Results 91 to 100 of about 128,877 (315)
A distributional study of discrete classical orthogonal polynomials
Journal of Computational and Applied Mathematics, 1995 AbstractFor the sequences of discrete classical orthogonal polynomials (Charlier, Meixner, Hahn) we can find a functional u, which satisfies the difference distributional equation Δ(φu) = ψu where φ and ψ are polynomials of degrees ⩽2 and 1 respectively.
Francisco Marcellán +2 more
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Agribusiness, EarlyView.Abstract Indoor agriculture (IA) presents a pathway to producing leafy greens more sustainably by strictly controlling the growing environment, increasing the efficiency of water and land resources use, reducing pesticide application, and enhancing quality characteristics.
Joseph Seong +3 more
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Discrete orthogonal polynomials associated with Macdonald functions
The Ramanujan Journal, 2022 New sequences of discrete orthogonal polynomials associated with the modified Bessel function $K_ (z)$ or Macdonald function are considered. The corresponding weight function is $ ^k _{k+ +1}(t)/ k!$, where $\ k \in \mathbb{N}_0, \ t \ge 0,\ > -1,\ 0 < < 1,\ _ (z) = 2 z^{ /2} K_ \left( 2\sqrt z\right)$.
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On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 The dual discrete $q$-ultraspherical polynomials $D_n^{(s)}( (x;s)|q)$ correspond to indeterminate moment problem and, therefore, have one-parameter family of extremal orthogonality relations. It is shown that special cases of dual discrete $q$-ultraspherical polynomials $D_n^{(s)}( (x;s)|q)$, when $s=q^{-1}$ and $s=q$, are directly connected with $q^
Groza, V.A., Kachuryk, I.I.
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Agribusiness, EarlyView.ABSTRACT Vending is an important sector in the daily lives of many people, and coffee is the most frequently consumed product in the European market. Like many other sectors, vending is responding to the challenge of sustainable development by taking various actions, such as offering increasingly ecologically sound coffee while maintaining/improving ...
Alberto Bertossi +2 more
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On the properties for modifications of classical orthogonal polynomials of discrete variables [PDF]
Journal of Computational and Applied Mathematics, 1995 We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass point at x = 0. We obtain the resulting orthogonal polynomials, identify them as hypergeometric functions and derive the second order di erence equation which these polynomials satisfy.
Álvarez Nodarse, Renato +2 more
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Agribusiness, EarlyView.ABSTRACT Amidst a recent surge in US goat meat imports to meet growing demand, this study contributes to the meat demand literature by examining consumer preferences for goat meat, a relatively healthy and environmentally friendly alternative to other popular meats.
Binod Khanal +2 more
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Realizations of $su(1,1)$ and $U_q(su(1,1))$ and generating functions for orthogonal polynomials
, 1998 Positive discrete series representations of the Lie algebra $su(1,1)$ and the quantum algebra $U_q(su(1,1))$ are considered. The diagonalization of a self-adjoint operator (the Hamiltonian) in these representations and in tensor products of such ...
Jagannathan, R., Van der Jeugt, J.
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MathematicsIn the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.
Roberto S. Costas-Santos
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$q$-Classical orthogonal polynomials: A general difference calculus approach
, 2009 It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov +26 more
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