Meromorphic Functions with Slow Growth of Nevanlinna Characteristics and Rapid Growth of Spherical Derivative
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DOI: 10.1007/s10958-020-05169-2
Abstract: Meromorphic functions with a given growth of a spherical derivative on the complex plane are described in terms of the relative location of a-points of functions. The result obtained allows one to construct an example… read more here.
Keywords: slow growth; spherical derivative; growth spherical; meromorphic functions ... See more keywords
On the Cardinality of a Reduced Unique-Range Set
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DOI: 10.1007/s11253-021-01889-z
Abstract: Two meromorphic functions are said to share a set S ⊂ ℂ∪{∞} ignoring multiplicities (IM) if S has the same preimages under both functions. If any two nonconstant meromorphic functions sharing a set IM are… read more here.
Keywords: cardinality; unique range; reduced unique; meromorphic functions ... See more keywords
Derivatives of meromorphic functions and exponential functions
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DOI: 10.1007/s11464-018-0691-2
Abstract: We take up a new method to prove a Picard type theorem. Let f be a meromorphic function in the complex plane, whose zeros are multiple, and let R be a Möbius transformation. If $${\overline… read more here.
Keywords: functions exponential; meromorphic functions; derivatives meromorphic; exponential functions ... See more keywords
Normal family of meromorphic functions concerning fixed-points
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DOI: 10.1007/s13324-017-0191-7
Abstract: Let $$A>1$$A>1 be a constant and $$\mathcal {F}$$F be a family of meromorphic functions defined in a domain D. For each $$f\in \mathcal {F}$$f∈F, f has only zeros of multiplicity at least 3 and satisfies… read more here.
Keywords: family meromorphic; normal family; functions concerning; meromorphic functions ... See more keywords
Subordination and superordination preserving properties for families of integral operators for meromorphic functions
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DOI: 10.1007/s13324-020-00354-7
Abstract: In this paper we obtain subordination, superordination, and sandwich-type results related to certain family of integral operators defined on the space of meromorphic functions in the open unit disk. Also, an application of the subordination… read more here.
Keywords: subordination superordination; superordination; meromorphic functions; superordination preserving ... See more keywords
Uniqueness of differential polynomials of meromorphic functions and small function sharing
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DOI: 10.1007/s13370-018-0640-y
Abstract: In the paper we study the uniqueness problem of certain differential polynomials generated by two meromorphic functions provided they share a small function along with some other conditions on the zeros and poles of the… read more here.
Keywords: meromorphic functions; polynomials meromorphic; small function; uniqueness differential ... See more keywords
Meromorphic Functions that Share Four or Five Pairs of Values
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DOI: 10.1007/s40315-017-0225-z
Abstract: It is shown that two non-constant meromorphic functions that share two pairs of values counting multiplicities and share three other pairs of values ignoring multiplicities are Möbius transformations of each other. This result is sharp.… read more here.
Keywords: share; functions share; pairs values; meromorphic functions ... See more keywords
A counterexample of a normality criterion for families of meromorphic functions
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DOI: 10.1016/j.crma.2017.11.008
Abstract: Let A>1 A > 1 be a constant, and let F F be a family of meromorphic functions in a domain D . If, for every function f∈F f ∈ F , f has only… read more here.
Keywords: normality criterion; families meromorphic; meromorphic functions; counterexample normality ... See more keywords
Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics
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DOI: 10.1017/etds.2023.27
Abstract: Recently, Benini et al showed that, in simply connected wandering domains of entire functions, all pairs of orbits behave in the same way relative to the hyperbolic metric, thus giving us our first insight into… read more here.
Keywords: internal dynamics; connected wandering; domains meromorphic; multiply connected ... See more keywords
Hyperbolic Metric and Multiply Connected Wandering Domains of Meromorphic Functions
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DOI: 10.1017/s0013091516000377
Abstract: Abstract In this paper, in terms of the hyperbolic metric, we give a condition under which the image of a hyperbolic domain of an analytic function contains a round annulus centred at the origin. From… read more here.
Keywords: connected wandering; meromorphic functions; wandering domains; multiply connected ... See more keywords
Meromorphic Functions Sharing Two Values
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DOI: 10.1051/wujns/2024291007
Abstract: Let [see formula in PDF] and [see formula in PDF] be two nonconstant meromorphic functions, and [see formula in PDF] be a positive integer. If [see formula in PDF] and [see formula in PDF] share… read more here.
Keywords: pdf see; meromorphic functions; functions sharing; formula pdf ... See more keywords