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Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves

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ABSTRACT In this paper, we extend Montel's normal criterion to a family of holomorphic mappings from a domain of the complex plane into a complex projective space of dimension n.… Click to show full abstract

ABSTRACT In this paper, we extend Montel's normal criterion to a family of holomorphic mappings from a domain of the complex plane into a complex projective space of dimension n. Furthermore, Lappan's five-valued theorem is extended to holomorphic curves.

Keywords: five valued; valued theorem; normal criterion; montel normal; lappan five; holomorphic curves

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019

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