Results 51 to 60 of about 1,059,315 (385)
Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations [PDF]
, 2016 The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere.
Martínez, Clotilde, Piñar, Miguel A.
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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A set of orthogonal polynomials induced by a given orthogonal polynomial
Aequationes Mathematicae, 1993 Given an integern ⩾ 1, and the orthogonal polynomialsπn(·; dσ) of degreen relative to some positive measuredσ, the polynomial system “induced” byπn is the system of orthogonal polynomials\(\{ \hat \pi _{k,n} \} \) corresponding to the modified measure\(d\hat \sigma _n = \pi _n^2 d\sigma \).
Gautschi, Walter, Li, Shikang
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Ecological Applications, Volume 32, Issue 8, December 2022., 2022 Abstract Arthropod biomass is a key element in ecosystem functionality and a basic food item for many species. It must be estimated through traditional costly field sampling, normally at just a few sampling points. Arthropod biomass and plant productivity should be narrowly related because a large majority of arthropods are herbivorous, and others ...
J. Traba +9 more
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Mathematics, 2023 This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set.
Jorge Arvesú +1 more
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Orthogonal structure on a quadratic curve
, 2020 Orthogonal polynomials on quadratic curves in the plane are studied. These include orthogonal polynomials on ellipses, parabolas, hyperbolas, and two lines. For an integral with respect to an appropriate weight function defined on any quadratic curve, an
Olver, Sheehan, Xu, Yuan
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On the Atkin Polynomials [PDF]
, 2013 We identify the Atkin polynomials in terms of associated Jacobi polynomials. Our identificationthen takes advantage of the theory of orthogonal polynomials and their asymptotics to establish many new properties of the Atkin polynomials.
El-Guindy, Ahmad, Ismail, Mourad E. H.
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A ‘missing’ family of classical orthogonal polynomials [PDF]
, 2010 We study a family of ‘classical’ orthogonal polynomials which satisfy (apart from a three-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl type.
L. Vinet, A. Zhedanov
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Orthogonal polynomials with orthogonal derivatives [PDF]
Bulletin of the American Mathematical Society, 1938 We are concerned with the following assertion: THEOREM. If {φn(x)} and { φn’(x)} are orthogonal systems of polynomials, then {φn(x)} may be reduced to the classical polynomials of Jacobi, Laguerre, or Hermite by means of a linear transformation on x.
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Representations of orthogonal polynomials
Journal of Computational and Applied Mathematics, 1998 Zeilberger's algorithm provides a method to compute recurrence and differential equations from given hypergeometric series representations, and an adaption of Almquist and Zeilberger computes recurrence and differential equations for hyperexponential integrals.
Dieter Schmersau, Wolfram Koepf
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