Results 21 to 30 of about 788 (72)
, 2014 In this paper, the authors investigate the interaction between the growth, zeros of solutions with the coefficients of second-order linear differential equations in terms of [p,q]−φ order and obtain some results in general form.MSC:30D35, 34A20.
Xia Shen, J. Tu, H. Xu
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Picard-Hayman behavior of derivatives of meromorphic functions
, 2020 Let f be a transcendental meromorphic function on C, and P (z),Q(z) be two polynomials with degP (z) > degQ(z). In this paper, we prove that: if f (z) = 0 ⇒ f ′(z) = a(a nonzero constant), except possibly finitely many, then f ′(z)−P (z)/Q(z) has ...
Yan Xu, Shirong Chen, P. Niu
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A precise inequality of differential polynomials related to small functions
, 2016 In this paper, we consider the value distribution of the differential polynomials φ f 2 f ′− 1 where f is a transcendental meromorphic function and φ is a small function, and obtain a precise inequality by the reduced counting function.
Junfeng Xu, H. Yi
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Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
wiley +1 more source
Entire functions sharing simple $a$-points with their first derivative [PDF]
, 2013 We show that if a complex entire function $f$ and its derivative $f'$ share their simple zeroes and their simple $a$-points for some nonzero constant $a$, then $f\equiv f'$. We also discuss how far these conditions can be relaxed or generalized. Finally,
Andreas Schweizer, Communicated Min Ru
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Uniqueness theorems for meromorphic mappings sharing hyperplanes in general position
, 2010 The purpose of this article is to study the uniqueness problem for meromorphic mappings from $\mathbb{C}^{n}$ into the complex projective space $\mathbb{P}^{N}(\mathbb{C}).$ By making using of the method of dealing with multiple values due to L. Yang and
Cao, Ting-Bin, Yi, Hong-Xun
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On escaping sets of some families of entire functions and dynamics of composite entire functions [PDF]
, 2015 We consider two families of functions $\mathcal{F}=\{f_{{\la},{\xi}}(z)= e^{-z+\la}+\xi: \la,\,\xi\in\C, \RE{\la}
Kumar, D.
core
Multiple values and uniqueness problem of meromorphic mappings sharing hypersurfaces
, 2016 The purpose of this article is to deal with the multiple values and uniqueness problem of meromorphic mappings from $\mathbb{C}^{m}$ into the complex projective space $\mathbb{P}^{n}(\mathbb{C})$ sharing fixed and moving hypersurfaces.
Cao, Hongzhe, Cao, Tingbin
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, 2014 In this paper, we employ the complex method to obtain all meromorphic solutions of an auxiliary ordinary differential equation at first, and then find all meromorphic general solutions of in combination the Newell-Whitehead equation, the NLS equation ...
W. Yuan +3 more
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Value distribution of the sequences of the derivatives of iterated polynomials
, 2016 We establish the equidistribution of the sequence of the averaged pullbacks of a Dirac measure at any value in $\mathbb{C}\setminus\{0\}$ under the derivatives of the iterations of a polynomials $f\in\mathbb{C}[z]$ of degree more than one towards the $f$-
Okuyama, Yûsuke
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