Results 31 to 40 of about 181,249 (295)
On the growth of gap power series of homogeneous polynomials
Researches in MathematicsLet $f$ be an entire functions $f\colon \mathbb{C}^{p}\to\mathbb{C}$, represented by power series of the form $$f(z)=\sum\limits_{k=0}^{+\infty} P_k(z), z\in\mathbb{C}^p$$ where $P_0(z)\equiv a_{0}\in\mathbb{C}$, $P_k(z)=\sum\limits_{\|n\|=\lambda_k ...
A.I. Bandura +2 more
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Entire Functions Polynomially Bounded in Several Variables
Bulletin of the Iranian Mathematical Society, 2019 In this paper we show that if an entire function $f(z_1,z_2)$ of two (or more) complex variables verifies $\norm{f(z_1,z_2)}\leq K(\norm{P(z_1,z_2)})$, where $P(z_1,z_2)$ is a polynomial that is not a power in $\CC[[z_1,z_2]]$, and $K$ is any positive-valued real function, then $f(z_1,z_2)$ can be written as a holomorphic function of $P$.
openaire +3 more sources
Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2
Open Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type α∂f(z1,z2)∂z1+β∂f(z1,z2)∂z2m+f(
Gui Xian Min +3 more
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On the growth of system of entire homogenous polynomials of several complex variables [PDF]
, 2016 In this paper we study the growth of entire functions represented by homogenous polynomials of two complex variables.
Hameed, Aseel, A.Hussein, MushtaqShakir
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 1980 We show that any mean-periodic function f can be represented in terms of exponential-polynomial solutions of the same convolution equation f satisfies, i.e., u∗f=0(μ∈E′(ℝn)). This extends to n-variables the work of L.
Carlos A. Berenstein, B. A. Taylor
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Clocks Ticking in the Dark: A Review of Biological Rhythms in Subterranean African Mole-Rats
Frontiers in Ecology and Evolution, 2022 Biological rhythms are rhythmic fluctuations of biological functions that occur in almost all organisms and on several time scales. These rhythms are generated endogenously and entail the coordination of physiological and behavioural processes to ...
Maria K. Oosthuizen +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background 131I‐metaiodobenzylguanidine (131I‐MIBG) radiotherapy is a key treatment for relapsed and refractory (R/R) neuroblastoma (NB). Patients with R/R disease treated in the modern era are increasingly exposed to anti‐GD2 immunotherapy, which exerts selective pressure and may modify both tumor cell state and microenvironment.
Benjamin J. Lerman +7 more
wiley +1 more source
On Composition of Meromorphic Functions in Several Complex Variables
, 1995 The paper deals with the following problem: when a memorphic function in several complex variables is prime under composition? Certain criteria for pseudo-primeness of meromorphic solutions of linear partial differential equations and primeness for ...
Chang, Derchen +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker +11 more
wiley +1 more source