Results 31 to 40 of about 128,319 (259)

Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials

Fractal and Fractional, 2023
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some basic properties of the generalized Chebyshev polynomials and their shifted ones are established.
Waleed Mohamed Abd-Elhameed, Muhammad Mahmoud Alsuyuti   +1 more
doaj   +1 more source

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

Pediatric 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, Hugo Roux, Odile Fenneteau, Aurélie Caye‐Eude, Alexia Kinoo, Yoann Vial, André Baruchel, Marion Strullu, Elodie Lainey, Hélène Cavé   +9 more
wiley   +1 more source

A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE

Проблемы анализа
In this contribution, a new set of 𝑑-orthogonal polynomials of Meixner type is introduced. Some properties of these polynomials, including an explicit formula, hypergeometric representation, as well as higher-order recurrence relation, and difference ...
W. Benamira, A. Nasri
doaj   +1 more source

Guidelines for Pediatric Radiotherapy Simulation: A Report From the Children's Oncology Group Radiation Oncology Discipline

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei, Stephen Mihalcik, Sujith Baliga, Young Kwok, Dana Casey, Eric Ehler, Christiane Burton, John C. Breneman, Daphne A. Haas‐Kogan, Suzanne L. Wolden, Arnold C. Paulino, Nadia N. Laack, Natia Esiashvili, Sarah Milgrom, Christine Hill‐Kayser, Thomas J. Fitzgerald, John A. Kalapurakal, Chia‐Ho Hua   +17 more
wiley   +1 more source

Recurrence Relations for Orthogonal Polynomials on Triangular Domains

Mathematics, 2016
In Farouki et al, 2003, Legendre-weighted orthogonal polynomials P n , r ( u , v , w ) , r = 0 , 1 , … , n , n ≥ 0 on the triangular domain T = { ( u , v , w ) : u , v , w ≥ 0 , u + v + w = 1 } are constructed, where u , v , w
Abedallah Rababah
doaj   +1 more source

On Quaternion-Gaussian Fibonacci Numbers and Their Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
doaj   +1 more source

T2* Magnetic Resonance Imaging Uncovers Hemosiderin Burden in Pediatric Hemophilia: A Call for Sensitive Imaging Biomarkers

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Hemophilic arthropathy remains the leading morbidity in hemophilia despite modern prophylaxis, and early joint damage may be missed by routine exams. This study explored T2* MRI as a noninvasive biomarker of hemosiderin deposition in pediatric hemophilia.
Jessica Garcia, Tarique Hussain, Jeanne Dillenbeck, Matthew Hammer, Annette von Drygalski, Guy Young, Ayesha Zia   +6 more
wiley   +1 more source

Survival by Race and Ethnicity in Children and Adolescents/Young Adults With Relapsed/Refractory Hodgkin Lymphoma: A Pooled Analysis of Children's Oncology Group Trials

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Despite 5‐year survival rates of over 90% among children and adolescents/young adults (CAYAs) with classic Hodgkin lymphoma (cHL), 15%–20% relapse after frontline therapy. Prior analysis of frontline Children's Oncology Group (COG) clinical trials demonstrated that, despite similar rates of relapse, non‐Hispanic Black (NHB) and ...
Mallorie B. Heneghan, Lindsay A. Renfro, Yue Wu, Katia M. Crisler, Erin Marcotte, Tanya Trippett, Terzah Horton, Bradford S. Hoppe, Frank G. Keller, Chris Forlenza, Cindy Schwartz, Kara M. Kelly, Peter D. Cole, Sharon M. Castellino, Justine M. Kahn   +14 more
wiley   +1 more source

On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations

Mathematics
This paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics.
Can Kızılateş, Wei-Shih Du, Nazlıhan Terzioğlu   +2 more
doaj   +1 more source

Some Families of Differential Equations Associated with Multivariate Hermite Polynomials

Fractal and Fractional, 2023
In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential ...
Badr Saad T. Alkahtani, Ibtehal Alazman, Shahid Ahmad Wani   +2 more
doaj   +1 more source