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Construction of Singular Particular SolutionsExpressed via Hypergeometric Functionsfor an Equation with Multiple Characteristics

B. Yu. IrgashevNamangan Engineering-Construction Institute, Namangan, 160100, Uzbekistan
Differential Equationsjournal2020en
ABI

Abstract

Self-similar solutions expressed via generalized hypergeometric functions are constructed for a higher-order equation with multiple characteristics. A necessary and sufficient condition under which the number of linearly independent self-similar solutions equals the order of the equation is found.

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