Results 31 to 40 of about 1,520,966 (266)

On properties of the solutions of the Weber equation

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2015
Growth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are ...
Yu.S. Trukhan
doaj   +1 more source

ON THE UNIQUENESS OF ENTIRE FUNCTIONS

open access: yesBulletin of the Korean Mathematical Society, 2004
Summary: We study the uniqueness of entire functions and prove the following result: Let \(f(z)\) and \(g(z)\) be two nonconstant entire functions, \(n\geq 7\) a positive integer, and let \(a\) be a nonzero finite complex number. If \(f^n(z)(f(z)-1)f'(z)\) and \(g^n(z)(g(z)-1)g'(z)\) share \(a\) CM, then \(f(z)\equiv g(z)\).
Qiu, Huiling, Fang, Mingliang
openaire   +2 more sources

An Entire Holomorphic Function Associated to an Entire Harmonic Function

open access: yesJournal of Approximation Theory, 1999
Given a harmonic function \(h\) on \(\mathbb{R}^N\), \(N\geq 2\), \((h\in {\mathcal H}_N)\) there is a unique holomorphic function \(f\) on \(\mathbb{C}\), \((f\in{\mathcal E})\) such that \(f(t)=h(t,0,\dots,0)\) for \(t\in\mathbb{R}\). This paper has two purposes. Firstly to obtain theorems on the connection between the growth rates of \(h\) and \(f\)
openaire   +2 more sources

Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian) [PDF]

open access: yesМатематичні Студії, 2013
Exact-order estimates for the approximations of functions ofclasses $S^{Omega}_{p,{heta}}B(mathbb{R}^d)$ by entirefunctions with the spectrum of a special form in the space$L_q(mathbb{R}^d)$ for some relations between the parameters$p$ and $q$, are ...
V. V. Myroniuk, S. Ya. Yanchenko
doaj  

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen   +23 more
wiley   +1 more source

Health‐Related Social Needs in Children With Sickle Cell Disease Are Associated With Worse Health‐Related Quality of Life

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with sickle cell disease (SCD) face multiple acute and chronic medical complications that may impact their quality of life as reported by patients themselves. Health‐related social needs (HRSNs), such as food and housing insecurity, are common in people with SCD, but the association between HRSNs and patient‐reported ...
Sarah J. Marks   +5 more
wiley   +1 more source

Cup‐Like Nuclei Is a Hallmark of DUX4/ERG Acute Lymphoblastic Leukemia and Reveals Cytoplasmic Mitochondria Accumulation

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Cup‐like nuclei are a distinctive morphological feature observed in certain cases of acute lymphoblastic leukemia (ALL). We provide evidence that they characterize DUX4/ERG ALL independently of IKZF1 deletion and reveal marked mitochondrial accumulation in this ALL subset.
Chloé Arfeuille   +9 more
wiley   +1 more source

Genomic Diversity and Clinical Variability in Pediatric Primary Cutaneous Anaplastic Large Cell Lymphoma: A Case Series

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Primary cutaneous anaplastic large cell lymphoma (pcALCL) is a rare pediatric CD30‐positive T‐cell lymphoproliferative disorder with an excellent prognosis, but its genomic drivers are poorly defined. We report three children with skin‐limited disease demonstrating striking molecular heterogeneity, including NPM::ALK, NUP214::FRK, and a novel ...
Shoshana Greenberger   +7 more
wiley   +1 more source

Uniqueness of an entire function sharing a polynomial with its linear differential polynomial

open access: yesRatio Mathematica, 2020
In this paper we consider an entire function when it shares a polynomial with its linear differential polynomial. Our result is an improvement of a result of P. Li.
Imrul Kaish, Nasir Uddin Gazi
doaj   +1 more source

The Combined Effect of Obesity and Contraceptive Use on Pulmonary Embolism in Adolescent Females Residing in the United States

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
wiley   +1 more source

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