The Theorem of Tumura‐Clunie for Meromorphic Functions | Zendy

Mues E. | Zendy; Steinmetz N. | Zendy

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The Theorem of Tumura‐Clunie for Meromorphic Functions

Author(s) -

Mues E.,

Steinmetz N.

Publication year - 1981

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/s2-23.1.113

Subject(s) - meromorphic function , mathematics , algebra over a field , physics , library science , computer science , pure mathematics

.ThenThis resul wat s first stated b y Tumura [5]. His proof however, wa, s incomplete.The assumption of Theores Am can b weakenee (seed , exampl for e Hayman[3; p. 69]), but it is always required tha tht e logarithmic derivative ¥'/¥ is a functionof small growth / compare in sens thede wit defineh d above. SinceT{r, V/V) ^ N(r, ¥ N(r,f)) ^ + S(r,f), th logarithmie c derivativ no havte doee sthis propert iyf / is arbitrar an y meromorphic function For example . i,ff(z) = tan anz d V 1 + / =

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