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Abstract

A condition on the majorant (depending on a single coordinate) of a family of functions harmonic in a sphere is determined whose satisfaction guarantees normality of the family.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 3, No. 5, pp. 547–552, May, 1968.]

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Rao, V. Normal families of harmonic functions. Mathematical Notes of the Academy of Sciences of the USSR 3, 349–352 (1968). https://doi.org/10.1007/BF01150988

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  • DOI: https://doi.org/10.1007/BF01150988

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