A Q-ANALOG OF THE WRONSKIAN AND A 2ND SOLUTION OF THE HAHN-EXTON Q-BESSEL DIFFERENCE EQUATION

被引：18

作者：

SWARTTOUW, RF ^{[1
]}

MEIJER, HG ^{[1
]}

机构：

[1] DELFT UNIV TECHNOL,FAC TECH MATH & INFORMAT,2628 CD DELFT,NETHERLANDS

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 03期

关键词：

HAHN-EXTON Q-BESSEL FUNCTION; Q-WRONSKIAN; Q-DIFFERENCE EQUATION;

D O I：

10.2307/2160480

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A second solution of the q-difference equation of the Hahn-Exton q-Bessel function, corresponding to the classical Y(v)(x), is found. We introduce a q-extension of the Wronskian to determine that the two solutions form a fundamental set.

引用

页码：855 / 864

页数：10

共 10 条

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[2]

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[3]

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[4]

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[5]

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[7]

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[8]

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[9]

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[10]

Watson G.N., 1966, THEORY BESSEL FUNCTI, Vsecond

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