Laguerre–Cayley Functions and Related Polynomials

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-09-06 DOI:10.1007/s11253-024-02332-9

Volodymyr Makarov, Serhii Makarov

引用次数: 0

Abstract

We study the main properties of the Laguerre–Cayley functions and related polynomials, which can be regarded as an essential component of the mathematical apparatus of the functional-discrete (FD-) method used to solve the Cauchy problem for an abstract homogeneous evolutionary equation of fractional order.

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拉盖尔-凯利函数和相关多项式

我们研究了 Laguerre-Cayley 函数和相关多项式的主要性质，它们可被视为函数离散（FD-）方法数学装置的重要组成部分，用于求解抽象的分数阶均质演化方程的考奇问题。

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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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.