Abstract
It is proved that the lower types of functions T(r, u) and N(r, u)=N(r, u1)+N(z, u2) relative to the proximate order ρ(r) of a function u=U1−u2 of fractional order ρ δ-subharmonic in ℝm, m>- 2, coincide, that is, are simultaneously minimal or mean. In the case of an arbitrary proximate order ρ(r), the assertion is, in general, false.
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References
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Translated from Ukrayins'kyy Matematychnyy Zhurnal, Vol. 44, No. 9, pp. 1280–1284, September, 1992.
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Zabolots'kyy, M.V. Lower types of δ-subharmonic functions of fractional order. Ukr Math J 44, 1172–1175 (1992). https://doi.org/10.1007/BF01058381
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DOI: https://doi.org/10.1007/BF01058381