Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties.

On the subharmonicity of separately subharmonic functions and generalizations

Author(s): Juhani Riihentaus

Pp: 42-55 (14)

Doi: 10.2174/9789811498701121010006

* (Excluding Mailing and Handling)


With the aid of our new version of a mean value type inequality, we improve our previous result of the subharmonicity of separately subharmonic functions, and thus also the well-known related earlier results of Armitage and Gardiner and ours. Moreover, we give refinements, with concise proofs, to the basic classical results of Avanissian, of Lelong, and of Arsove.

Keywords: Subharmonic, quasinearly subharmonic, separately quasinearly subharmonic function

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