On exponential and trigonometric functions on nonuniform lattices

被引：0
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作者：
M. Kenfack Nangho
M. Foupouagnigni
W. Koepf
机构：
[1] University of Pretoria,Department of Mathematics and Applied Mathematics
[2] University of Dschang,Department of Mathematics and Computer Science, Faculty of Science
[3] University of Yaounde I,Department of Mathematics, Higher Teachers’ Training College
[4] African Institute for Mathematical Sciences,Institute of Mathematics
[5] University of Kassel,undefined
来源：
The Ramanujan Journal | 2019年 / 49卷
关键词：
Basic exponential function; Askey–Wilson polynomials; Symmetric functions and nonuniform lattices; 33D15; 39D45;
D O I：
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中图分类号：
学科分类号：
摘要：
We develop analogs of exponential and trigonometric functions (including the basic exponential function) and derive their fundamental properties: addition formula, positivity, reciprocal and fundamental relations of trigonometry. We also establish a binomial theorem, characterize symmetric orthogonal polynomials and provide a formula for computing the nth-derivatives for analytic functions on nonuniform lattices (q-quadratic and quadratic variables).
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页码：1 / 37
页数：36
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