超几何函数在构造特解中的应用

IF 0.6 4区数学 Q3 MATHEMATICS Complex Variables and Elliptic Equations Pub Date : 2023-11-05 DOI:10.1080/17476933.2023.2270910

B. Y. Irgashev

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引用次数: 0

摘要

摘要本文用相似法构造了常系数和变系数高阶方程的自相似解。用广义超几何函数表示自相似解。这些例子说明了已知方程的基本解是如何通过我们所构造的特解来表示的。关键词:高阶方程;多重特征;基本解;相似解;;广义超几何函数;

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Application of hypergeometric functions to the construction of particular solutions

AbstractIn this article, by the similarity method, self-similar solutions of higher-order equations with constant and variable coefficients are constructed. Self-similar solutions are expressed in terms of generalized hypergeometric functions. The examples show how the fundamental solutions of known equations can be expressed through the particular solutions we have constructed.Keywords: High-order equationmultiple characteristicsfundamental solutionsimilarity solutiongeneralised hypergeometric functiondegenerationAMS Subject Classification: 35C06 Disclosure statementNo potential conflict of interest was reported by the author(s).

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.