Asymptotic analysis of a class of functional equations

被引：0
作者：
Derfel G. [2 ]
Thuswaldner J.M. [1 ]
Tichy R.F. [1 ]
Vogl F. [3 ]
机构：
[1] Institut für Mathematik, TU Graz, A-8010 Graz
[2] Dept. of Mathematics and Computer Science, Ben Gurion University, Beer Sheave 84105
[3] Abt. F. Techn. Mathematik, TU Wien, A-1040 Wien
来源：
aequationes mathematicae | 1998年 / 55卷 / 1期
关键词：
Functional Equation; Entire Function; Classical Theory; Asymptotic Analysis; Finite Genus;
D O I：
10.1007/s000100050022
中图分类号：
学科分类号：
摘要：
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. © Birkhäuser Verlag, Basel, 1998.
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页码：91 / 105
页数：14
相关论文
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