Exceptional Laguerre polynomials [PDF]
Studies in Applied Mathematics, 2018 The aim of this paper is to present the construction of exceptional Laguerre polynomials in a systematic way, and to provide new asymptotic results on the location of the zeros.
Bonneux, Niels, Kuijlaars, Arno B. J.
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Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials [PDF]
, 2011 Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Griffiths, Robert C., Spanò, Dario
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A method for fractional Volterra integro-differential equations by Laguerre polynomials [PDF]
Advances in Difference Equations, 2018 The main purpose of this study is to present an approximation method based on the Laguerre polynomials for fractional linear Volterra integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic
Dilek Varol Bayram +1 more
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The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations. [PDF]
J Comput Nonlinear Dyn, 2013 Khader MM.
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Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions [PDF]
, 2018 Burchnall's method to invert the Feldheim-Watson linearization formula for the Hermite polynomials is extended to all polynomial families in the Askey-scheme and its $q$-analogue.
Ismail, Mourad E. H. +2 more
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New extensions of associated Laguerre polynomials [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 The main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.
Ahmed Ali Al-Gonah
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Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind
Applied Mathematics in Science and Engineering, 2022 In this paper, we introduce partially degenerate Laguerre–Bernoulli polynomials of the first kind and deduce some relevant properties by using a preliminary study of these polynomials.
Waseem A. Khan +2 more
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Products of Laguerre Polynomials [PDF]
Mathematics of Computation, 1960 and, in particular, is symmetric in r, s, t. A closed formula has been obtained for Cry by Watson [41. We begin by obtaining the same formula by a very simple argument. In ? wce (lerive a simple recurrence relation suitable for rapidly generating the coefficients as needed when working with a high speed computing machine.
Gillis, J., Weiss, G.
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The Extended Laguerre Polynomials Aq,nαx Involving Fqq,q>2
Journal of Function Spaces, 2022 In this paper, for the proposed extended Laguerre polynomials Aαq,nx, the generalized hypergeometric function of the type Fqq,q>2 and extension of the Laguerre polynomial are introduced.
Adnan Khan +3 more
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A Note on the Laguerre-Type Appell and Hypergeometric Polynomials
Mathematics, 2022 The Laguerre derivative and its iterations have been used to define new sets of special functions, showing the possibility of generating a kind of parallel universe for mathematical entities of this kind.
Paolo Emilio Ricci, Rekha Srivastava
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