Results 91 to 100 of about 2,224 (227)

LAGUERRE AND MEIXNER POLYNOMIALS IN DUALITY [PDF]

Glasgow Mathematical Journal, 2005
A closer look at Laguerre and Meixner polynomials shows that they interact, with a more active role played by the latter. We intend here to expound on this development of the story up to some level of abstraction.
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Studies on the Method of Orthogonal Collocation IV. Laguerre and Hermite Orthogonal Collocation Method

Journal of King Saud University: Engineering Sciences, 2000
Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
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An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials. [PDF]

Soft comput, 2023
Avazzadeh Z, Hassani H, Agarwal P, Mehrabi S, Ebadi MJ, Dahaghin MS.   +5 more
europepmc   +1 more source

On the genus of generalized Laguerre polynomials

Journal of Algebra, 2005
belong to one of the three family of orthogonal polynomials, the other two being Jacobi and Legendre. In addition to their important roles in mathematical analysis, these polynomials also feature prominently in algebra and number theory. Schur ([7], [8]) pioneered the study of Galois properties of specializations of these orthogonal polynomials, and ...
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An upper bound for the Laguerre polynomials

Journal of Computational and Applied Mathematics, 1998
AbstractA simple new uniform estimate for the Laguerre polynomials of order α, Ln(x), α ∈ R is given.
Zdzisław Lewandowski, Jan Szynal
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On the zeros of certain polynomials related to Jacobi and Laguerre polynomials [PDF]

, 1932
Wayne Lawton
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Laguerre-Sobolev orthogonal polynomials

Journal of Computational and Applied Mathematics, 1996
AbstractIn this paper, polynomials that are orthogonal with respect to the inner product (f,g)s=∫+∞0 f(x)g(x)xαe−xdx+λ∫+∞0 f′(x)g′(x)xαe−xdx where α > −1 and λ⩾0, are studied. For these nonstandard orthogonal polynomials algebraic and differential properties as well as the relation with the classical Laguerre polynomials are obtained.
Miguel A. Piñar, Francisco Marcellán, Teresa E. Pérez   +2 more
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Triple series equations involving Laguerre polynomials [PDF]

, 1969
J. S. Lowndes
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A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials

Miskolc Mathematical Notes
Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and ...
Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar   +2 more
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New Laguerre-polynomials’ generating functions derived by virtue of operator Hermite-polynomial method and entangled state representation

AIP Advances
In this paper, we derive two new generating functions of Laguerre-polynomials, which look like the negative binomial theorem for the Laguerre function Lnx, by adopting the bi-partite entangled state representation and the operator-Hermite-polynomial HnX ...
Ke Zhang, Hong-Yi Fan
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