Asymptotic expansions of the generalized Bessel polynomials
نویسندگان
چکیده
منابع مشابه
The Generalized Bessel Matrix Polynomials
Abstract.In this paper, the generalized Bessel matrix polynomials are introduced, starting from the hypergeometric matrix function. Integral form, Rodrigues’s formula and generating matrix function are then developed for the generalized Bessel matrix polynomials. These polynomials appear as finite series solutions of second-order matrix differential equations and orthogonality property for the ...
متن کاملAsymptotic expansions of the generalized Stirling approximations
ABSTRACT: The aim of this paper is to construct the asymptotic expansions of a class of approximation formulas for the factorial function. MSC: 40A25; 41A60; 41A25; 57Q55
متن کاملUniform Asymptotic Expansions for Charlier Polynomials
The asymptotic behaviour of the Charlier polynomials C (a) n (x) as nQ. is examined. These polynomials satisfy a discrete orthogonality relation and, unlike classical orthogonal polynomials, do not satisfy a second-order linear differential equation with respect to the independent variable x. As such, previous results on their asymptotic behaviour have been restricted to integral methods and co...
متن کاملGeneralized Binomial Expansions and Bernoulli Polynomials
In this paper we investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a ’shift by rank’ quasi-expansion based on ordered set partitions. As an application, we give a new proof of Dilcher’s ...
متن کاملAsymptotic analysis of generalized Hermite polynomials
We analyze the polynomials H n(x) considered by Gould and Hopper, which generalize the classical Hermite polynomials. We present the main properties of H n(x) and derive asymptotic approximations for large values of n from their differential-difference equation, using a discrete ray method. We give numerical examples showing the accuracy of our formulas.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1997
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00131-3