Asymptotic analysis of a class of functional equations

Gregory Derfel; Jörg M. Thuswaldner; Robert F. Tichy; Fritz Vogl

doi:10.1007/s000100050022

Asymptotic analysis of a class of functional equations

Gregory Derfel
, Jörg M. Thuswaldner
, Robert F. Tichy
, Fritz Vogl

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The aim of this paper is to solve the q-difference equation G(z)P ₁(z) = G(λz)P₂(z)+ P₀(z) asymptotically, where the coefficients are entire functions of finite genus. We solve this equation by two methods: by a Mellin transform approach and as an application of C.R. Adams' classical theory of q-difference equations.

Original language	English
Pages (from-to)	91-105
Number of pages	15
Journal	Aequationes Mathematicae
Volume	55
Issue number	1-2
DOIs	https://doi.org/10.1007/s000100050022
State	Published - 1 Jan 1998

ASJC Scopus subject areas

General Mathematics
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1007/s000100050022

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title = "Asymptotic analysis of a class of functional equations",

abstract = "The aim of this paper is to solve the q-difference equation G(z)P 1(z) = G(λz)P2(z)+ P0(z) asymptotically, where the coefficients are entire functions of finite genus. We solve this equation by two methods: by a Mellin transform approach and as an application of C.R. Adams' classical theory of q-difference equations.",

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Y1 - 1998/1/1

N2 - The aim of this paper is to solve the q-difference equation G(z)P 1(z) = G(λz)P2(z)+ P0(z) asymptotically, where the coefficients are entire functions of finite genus. We solve this equation by two methods: by a Mellin transform approach and as an application of C.R. Adams' classical theory of q-difference equations.

AB - The aim of this paper is to solve the q-difference equation G(z)P 1(z) = G(λz)P2(z)+ P0(z) asymptotically, where the coefficients are entire functions of finite genus. We solve this equation by two methods: by a Mellin transform approach and as an application of C.R. Adams' classical theory of q-difference equations.

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DO - 10.1007/s000100050022

M3 - Article

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JO - Aequationes Mathematicae

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ER -

Asymptotic analysis of a class of functional equations

Abstract

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