Results 31 to 40 of about 1,046,218 (306)

On Quasi-Pseudoconformality in Several Complex Variables [PDF]

open access: yesTransactions of the American Mathematical Society, 1967
K[Tp] can be equivalently defined in the usual way as the ratio of the axes of the "infinitesimal ellipse" into which an "infinitesimal circle" around p is mapped. That these two definitions coincide reflects the fact that in C1 analyticity and conformality are one and the same notion.
openaire   +2 more sources

A note on monomials in several complex variables [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
Monomials in C'1 are characterized in the polydisk algebra A(Un) as functions whose modulus is constant on the distinguished boundary of U' and whose zero set has an intersection with the diagonal of U', consisting (at most) of the origin. The note answers a question raised by F.
openaire   +2 more sources

On Polyanalytic Functions in Several Complex Variables

open access: yesComplex Analysis and Operator Theory, 2023
AbstractWe give a characterisation of the polyanalytic type subspaces of the Hilbert spaces $$\mathcal {H}$$ H , being the weighted $$L_2$$ L 2 function spaces on a connected simply connected domains $$D \subset \mathbb {C}^n$
openaire   +1 more source

On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)

open access: yesMathematics, 2023
The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence.
Tamara Antonova   +2 more
doaj   +1 more source

Uniformly starlike and uniformly convex mappings in several complex variables [PDF]

open access: yesПроблемы анализа, 2000
In this paper we introduce some subclasses of biholomorphic mappings on the unit ball of ℂ n. These mappings called uniformly starlike and uniformly convex are introduced by geometric interpretation, like in the case of one variable.
Kanas S., Kohr G., Kohr M.
doaj  

Characterizations of entire solutions for the system of Fermat-type binomial and trinomial shift equations in ℂn#

open access: yesDemonstratio Mathematica, 2023
In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
doaj   +1 more source

Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables

open access: yesAdvances in Difference Equations, 2021
This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
Hong Yan Xu   +3 more
doaj   +1 more source

Venous Thromboembolism in Pediatric Bone Sarcoma Patients: A 10‐Year, Single‐Institution Experience Encompassing the COVID‐19 Pandemic

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Osteosarcoma (OS) and Ewing sarcoma (EWS) are the most common primary bone cancers in children, but acute thrombosis is poorly characterized in this population. Our study evaluated the rates of venous thromboembolism (VTE) and associated risk factors in pediatric patients with bone sarcomas treated over a 10‐year period encompassing
Sarah Kappa   +8 more
wiley   +1 more source

Serological Benefit of SARS‐CoV‐2 Vaccination Relative to Infection in Children With Acute Lymphoblastic Leukemia

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with acute lymphoblastic leukemia (ALL) are at risk of severe outcomes from SARS‐CoV‐2 (SCV2). In the post‐pandemic context, where most children have been infected with SCV2, there are limited data on whether vaccination remains beneficial in children with ALL.
Janna R. Shapiro   +11 more
wiley   +1 more source

Time Toxicity in Wilms Tumor: Quantifying the Burden of Healthcare Interaction in the First Year After Diagnosis

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Wilms tumor (WT) treatment imposes a significant time burden on patients and their families. Time toxicity is a patient‐centered metric that quantifies the burden of healthcare interaction. We sought to define time toxicity in the first year after diagnosis of WT and hypothesized that it would increase as tumor stage and treatment ...
Caleb Q. Ashbrook   +6 more
wiley   +1 more source

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