Subharmonic functions with separated variables and their connection with generalized convex functions-Reference-Cited by-同舟云学术

Subharmonic functions with separated variables and their connection with generalized convex functions

Published:2024-06-25 Issue:6 Volume: Page:49-67
ISSN:2076-4626
Container-title:Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
language:
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Author:

Muryasov R. R.¹

Affiliation:

1. Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of Russian Academy of Science

Abstract

In this paper, we consider the necessary and sufficient conditions for the subharmonicity of functions of two variables, representable as a product of two functions of one variable in the Cartesian coordinate system or in the polar coordinate system in domains on the plane. We establish a connection of such functions with functions that are convex with respect to solutions of second-order linear differential equations, i.e., convex with respect to two functions.

Publisher

Kazan Federal University

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