Le théorème de Picard-Borel et la théorie des fonctions méromorphes. By Rolf Nevanlinna. Pp.171. 35 fr. 1929. Paris; Gauthier-Villars.

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Unicity theorems for meromorphic or entire functions. II.

On the characteristics of meromorphic functions that share three values CM

Let f be a meromorphic function and let T(r.f) be its Nevanlinna characteristic. Let g be an entire function of non-zero order p(g) and suppose that 0 < μ < p(g). It is proved that . Some applications are given. It is shown that certain results by Gross and Yang, Schonhage, Singh and others on the growth rate of composite entire function hold for meromorphic functions as well. Other applications concern the functional equation f(h(z))=f(k(z)) and analytic mappings between ultrahyperelliptic surfaces. This improves results by Niino.

On the growth rate of composite meromorphic functions

Unicity theorems for entire functions

/pdf/deficiencies-of-an-entire-algebroid-function-iii-4dblc9w669.pdf

Deficiencies of an entire algebroid function, III

/pdf/on-a-characterization-of-regularly-branched-three-sheeted-3kgacmpdgx.pdf

On a characterization of regularly branched three-sheeted covering Riemann surfaces

/pdf/on-the-family-of-analytic-mappings-between-two-rqjo3369ww.pdf

On the family of analytic mappings between two ultrahyperelliptic surfaces

/pdf/on-regularly-branched-tree-sheeted-covering-riemann-surfaces-2ts56t4t99.pdf

Kiyoshi Niino

Papers

Deficiencies of an entire algebroid function, III

On a characterization of regularly branched three-sheeted covering Riemann surfaces

On the family of analytic mappings between two ultrahyperelliptic surfaces

On regularly branched tree-sheeted covering Riemann surfaces

On the family of analytic mappings between two ultrahyperelliptic surfaces. II.