Meromorphic Functions of Finite Order
نویسندگان
چکیده
منابع مشابه
Fractal Measures for Meromorphic Functions of Finite Order
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Working with well chosen Riemannian metrics and employing Nevanlinna’s theory, we make the thermodynamical formalism work for a wide class of hyperbolic meromorphic functions of finite order (including in particular exponential family, elliptic functions, cosine, tangent and the cosine–root family and also compositions of these functions with arbitrary polynomials). In particular, the existence...
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The thermodynamical formalism has been developed in [MyU2] for a very general class of transcendental meromorphic functions. A function f : C → Ĉ of this class is called dynamically (semi-) regular. The key point in [MyU2] was that one worked with a well chosen Riemannian metric space (Ĉ, σ) and that the Nevanlinna theory was employed. In the present manuscript we first improve [MyU2] in provid...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1959
ISSN: 0002-9939
DOI: 10.2307/2033480