Results 71 to 80 of about 1,520,966 (266)
This article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
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Composition of entire function and analytic functions in the unit ball with a vanished gradient
The composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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In this paper, we exhibit upper and lower bounds with explicit constants for some objects related to entire $L$-functions in the critical strip, under the generalized Riemann hypothesis. The examples include the entire Dirichlet $L$-functions $L(s,χ)$ for primitive characters $χ$.
openaire +4 more sources
Re‐Irradiation in Pediatric Diffuse Midline Glioma: A Multi‐Institutional Retrospective Study
ABSTRACT Background Children with recurrent diffuse midline gliomas (DMGs) have limited therapeutic options at recurrence. Re‐irradiation (RT2) may be used at progression, but with uncertainty about the benefit. Methods We conducted a multi‐institutional retrospective study of children aged < 18 with DMG treated at three centers (Toronto, Canada ...
Ajay Thomas Alex +13 more
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The description of entire solutions of complex PDEs and PDDEs
By utilizing the Hadamard factorization theory and Nevanlinna theory of meromorphic functions in Cn ${\mathbb{C}}^{n}$ , we mainly give some description of the solutions of complex partial differential equation (PDE) (auz1+buz2)(cuz1+duz2)=eg, $\left(a{u}
Wu Zhao Jun, Xu Hong Yan, Xuan Zu Xing
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ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko +19 more
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ABSTRACT Background Medication nonadherence during the first 100 days after pediatric hematopoietic stem cell transplantation (HSCT) and during oncology treatment increases risk for complications. BMT4me is a caregiver‐facing mobile health (mHealth) application providing medication reminders, symptom tracking, and note‐taking features to support ...
Micah A. Skeens +4 more
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The growth of Weierstrass canonical products of genus zero with random zeros
Let $zeta=(zeta_n)$ be a complex sequence of genus zero, $au$ be its exponent ofconvergence, $N(r)$ be its integrated counting function,$pi(z)=prodigl(1-frac{z}{zeta_n}igr)$ be the Weierstrass canonical product, and$M(r)$ be the maximum modulus of this ...
Yu. V. Zakharko, P. V. Filevych
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ABSTRACT Background Survival after relapse in pediatric acute myeloid leukemia (AML) remains poor, highlighting the critical importance of identifying prognostic factors to guide optimal relapse management. Methods We investigated the prognostic impact of multiparameter flow cytometry (MFC) measurable residual disease (MRD) in 188 patients with first ...
Camilla Poulsen +21 more
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A note about the deterministic property of characteristic functions
We study an extension property for characteristic functions f : Rn → C of probability measures. More precisely, let f be the characteristic function of a probability density φ on Rn, and let Uσ = {x ∈ Rn: mink|xk| > σ}, σ > 0, be a neighborhood of ...
Saulius Norvidas
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