Results 31 to 40 of about 1,591,705 (266)

On the zeros of the derivatives of an entire function [PDF]

Proceedings of the American Mathematical Society, 1957
Let f(z) be an entire function. We define the point set L=Lf on the z-sphere as follows: zo0EL if and only if every neighborhood of zo contains zeros of infinitely many of the functions f(n)(z). In [3] Polya has named this set the final set of f, and collected various facts and conjectures about final sets. The object of this paper is to prove that any
Edrei, A., MacLane, G. R.
openaire   +2 more sources

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

Математичні 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  

An Entire Holomorphic Function Associated to an Entire Harmonic Function

Journal 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

Asymptotic behavior of averaging of entire functions of improved regular growth

Karpatsʹkì Matematičnì Publìkacìï, 2013
Using the Fourier series method for entire functions, we investigate the asymptotic behavior of averaging of entire functions of improved regular growth.
R.V. Khats’
doaj   +3 more sources

Bridging the Loneliness Gap: Depression, Connectivity, and Isolation in Pediatric Oncology Patients and Their Peers

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld, Scott H. Maurer, Michelle D. Watkinson, John Nury, Elise Barberis, Molly C. Mack   +5 more
wiley   +1 more source

Early Body Mass Index z‐Score Change and Resolution of Severe Malnutrition in Children With Sickle Cell Anemia in a Low‐Income Setting: A Prospective Single‐Arm Extension Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with sickle cell anemia (SCA) in low‐income settings are at risk of severe malnutrition, but optimal nutritional management has not been established. We evaluated an intensified ready‐to‐use therapeutic food (RUTF) regimen in children with persistent severe malnutrition after initial treatment and assessed whether early ...
Safiya Gambo, Shehu Umar Abdullahi, Hassan Adam Murtala, Halima Kabir, Khadija A. Shamsu, Sari A. Acra, Virginia A. Stallings, Mark Rodeghier, Michael R. DeBaun, Lauren J. Klein   +9 more
wiley   +1 more source

Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine, Hallie Coltin, Sylvia Cheng, Lucie Lafay‐Cousin, Vanan Issai Magimairajan, Craig Erker, Stéphanie Vairy, Lynette Bowes, Adam Fleming, Donna Johnston, Sarah McKillop, Roona Sinha, Julie Bennett, Christina Coleman, Laura Wheaton, Shayna Zelcer, Samuele Renzi, Thai Hoa Tran   +17 more
wiley   +1 more source

Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids

Pediatric Blood &Cancer, EarlyView.
ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz, Se Whee Sammy Park, Aironas Los, Ernest Liu, Nona Struyf, Tom Erkers, Sören Lehmann, Jan J. Molenaar, Jakob Stenman, Olli Kallioniemi, Päivi Östling, Brinton Seashore‐Ludlow, Kasper Karlsson   +12 more
wiley   +1 more source

Singular values of two-parameter families λ((bz − 1)/z)μ and λ(z/(bz − 1))η

Journal of Taibah University for Science, 2017
The singular values of two kinds of two-parameter families of functions (i) fλ,μ(z)=λ((bz−1)/z)μ and fλ,μ(0) = λ(ln b)μ, μ > 0, (ii) gλ,η(z)=λ(z/(bz−1))η and gλ,η(0) = λ/(ln b)η, η > 0; λ∈ℝ∖{0}, z∈ℂ, b > 0, b ≠ 1 are described.
Mohammad Sajid
doaj   +1 more source

Impact of Radiation Therapy on Physical and Psychosocial Health of Adolescents and Young Adults: A Joint Report From the Children's Oncology Group AYA and Radiation Oncology Committees

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani, Rachel K. Peterson, Avani D. Rao, Laurie J. McKenzie, Ahmed Magdy Elmotayam, Leslie Chang, Michael Roth, Susan L. McGovern   +7 more
wiley   +1 more source