Geodesic
Subharmonic functions with separated variables and their connection with generalized convex functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2024), pp. 49-67 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: subharmonic function, generalized derivative, convex function, differential operator, generalized convex function.
Mots-clés : distribution 
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R. R. Muryasov. Subharmonic functions with separated variables and their connection with generalized convex functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2024), pp. 49-67. http://geodesic.mathdoc.fr/item/IVM_2024_6_a4/

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