q指数和相关函数值的线性无关性

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2023-10-23 DOI:10.1017/s0004972723001028

ANUP B. DIXIT, VEEKESH KUMAR, SIDDHI S. PATHAK

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引用次数: 0

摘要

当q是Pisot-Vijayaraghavan数时，我们建立了指数函数的q -类似函数及其导数在指定代数参数处的值的线性无关性。对于同源函数，如Tschakaloff函数和某些广义q -级数，我们也推导出类似的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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LINEAR INDEPENDENCE OF VALUES OF THE q-EXPONENTIAL AND RELATED FUNCTIONS

Abstract We establish the linear independence of values of the q -analogue of the exponential function and its derivatives at specified algebraic arguments, when q is a Pisot–Vijayaraghavan number. We also deduce similar results for cognate functions, such as the Tschakaloff function and certain generalised q -series.

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society