Two variables generalized Laguerre polynomials
نویسندگان
چکیده
منابع مشابه
Specializations of Generalized Laguerre Polynomials
Three specializations of a set of orthogonal polynomials with “8 different q’s” are given. The polynomials are identified as q-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.
متن کاملLaguerre-type exponentials and generalized Appell polynomials
General classes of two variables Appell polynomials are introduced by exploiting properties of an iterated isomorphism, related to the so called Laguerre-type exponentials. Further extensions to the multi-index and multivariable cases are mentioned. 2000 Mathematics Subject Classification. 33C45, 33C99, 30D05, 33B10.
متن کاملDual series equations involving generalized Laguerre polynomials
where α + β + 1 > β > 1 −m, σ + 1 > α + β > 0, m is a positive integer, and 0 < h < ∞, 0 ≤ b <∞, and h and b are finite constants. L n [(x + b)h] is a Laguerre polynomial, An are unknown coefficients, and f (x) and g(x) are prescribed functions. Srivastava [5, 6] has solved the following dual series equations: ∞ ∑ n=0 AnL (α) n (x) Γ(α+n+ 1) = f (x), 0 < x < a, (1.3) ∞ ∑ n=0 AnL (σ) n (x) Γ(α+n...
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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 Feit [1] used them to solve the inverse Galoi...
متن کاملLaguerre Polynomials in Several Hypercomplex Variables and Their Matrix Representation
Recently the creation matrix, intimately related to the Pascal matrix and its generalizations, has been used to develop matrix representations of special polynomials, in particular Appell polynomials. In this paper we describe a matrix approach to polynomials in several hypercomplex variables based on special block matrices whose structures simulate the creation matrix and the Pascal matrix. We...
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ژورنال
عنوان ژورنال: Carpathian Mathematical Publications
سال: 2021
ISSN: 2313-0210,2075-9827
DOI: 10.15330/cmp.13.1.134-141