Results 21 to 30 of about 127 (62)
A property of the derivative of an entire function [PDF]
, 2011 We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set. MSC 2010: 30D30. Keywords: entire function, normal family.
Walter Bergweiler, A. Eremenko
semanticscholar +1 more source
Uniqueness of meromorphic functions sharing two finite sets
Open Mathematics, 2017 We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
doaj +1 more source
The uniqueness of meromorphic functions in k-punctured complex plane
Open Mathematics, 2017 The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible ...
Xu Hong Yan, Liu San Yang
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Uniqueness of Meromorphic Functions of Differential Polynomials Sharing a Small Function IM
, 2014 In this paper, we shall study the uniqueness problems of meromorphic functions of differential polynomials sharing a small function and ∞ IM. Our results improve or generalize many previous results on value sharing of meromorphic functions.
Xinhua Shi
semanticscholar +1 more source
Use of a Cytobrush for Sampling the Ear Canal of Dogs With Otitis Externa
Veterinary Dermatology, EarlyView.Cytological examination of the ear canal is essential for evaluating dogs with otitis externa (OE). The conventional sampling method uses a swab. However, the cytobrush (gynaecological cervical brush), already used for cytological collection from other anatomical sites, has not been adequately investigated for this purpose in dogs with OE.
Nicoly Radaeli Atanasio +3 more
wiley +1 more source
Some results on value distribution concerning Hayman's alternative
Open MathematicsIn this article, we study the value distribution of meromorphic functions concerning Hayman’s alternative. We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their ...
Zhuang Xinyu +3 more
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Veterinary Dermatology, Volume 37, Issue 1, Page 103-110, February 2026.Background: Otitis externa with secondary bacterial or yeast infection is a common problem in small animal practice. Cold physical plasma (CPP) has been reported to have antimicrobial activity in vitro. Results: Ears treated additionally with CPP showed lower otic scores after 21 days compared to nontreated ears, although this difference was not ...
Ralf S. Mueller, Cosima Bouassiba
wiley +1 more source
Veterinary Dermatology, Volume 36, Issue 5, Page 668-678, October 2025.Background – Erythemato‐ceruminous otitis externa (ECOE) is commonly associated with Malassezia spp. and microbial imbalance. Hypothesis/Objective – To assess the clinical performance of an ear cleaner in dogs suffering from ECOE associated with Malassezia spp. overgrowth and to measure its impact on the microbiota. Conclusions and Clinical Relevance –
Amaury Briand +11 more
wiley +1 more source
Geometry of transcendental singularities of complex analytic functions and vector fields
Complex ManifoldsOn Riemann surfaces MM, there exists a canonical correspondence between a possibly multivalued function ΨX{\Psi }_{X} whose differential is single-valued (i.e. an additively automorphic singular complex analytic function) and a vector field XX.
Alvarez-Parrilla Alvaro +1 more
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 4, Page 453-461, August 2025.Background – Canine atopic dermatitis (cAD) is a chronic, inflammatory, multifactorial and pruritic disease. The presence of skin barrier impairment (e.g. filaggrin alterations), along with abnormal immune responses, can negatively impact cutaneous barrier function.
Wendie Roldan Villalobos +5 more
wiley +1 more source