Results 31 to 40 of about 63,525 (216)

Modified Generalized Stirling Numbers and Their Matrix Representation

Alfarama Journal of Basic & Applied Sciences
This paper presents a comprehensive study of advanced classes of Stirling numbers within combinatorial analysis and discrete mathematics. The first class examined is the Comtet non-central Stirling numbers of the first and second kinds, which extend the ...
Beih El desouky, Maha Abdelghany Mohamed
doaj   +1 more source

Powers of the operator u(z)d/dz and their connection with some combinatorial numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper the operator A = u(z)d/dz is considered, where u is an entire or meromorphic function in the complex plane. The expansion of Aᵏ (k≥1) with the help of the powers of the differential operator D=d/dz is obtained, and it is shown that this ...
Ioana Petkova
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

Some combinatorial identities containing central binomial coefficients or Catalan numbers*

Applied Mathematics in Science and Engineering, 2023
In the article, by virtue of Maclaurin's expansions of the arcsine function and its square and cubic, the authors give a short proof of a sum formula of a Maclaurin's series with coefficients containing reciprocals of the Catalan numbers; establish four ...
Feng Qi, Da-Wei Niu, Dongkyu Lim
doaj   +1 more source

Social Functioning Within the First Years After Pediatric Brain Tumor Diagnosis and the Relationship With Family Psychosocial Risk

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben, Marisa H. Huisman, Martha A. Grootenhuis, Femke K. Aarsen, Marita Partanen   +4 more
wiley   +1 more source

Retrospective Analysis of Donor Lymphocyte Infusions in Pediatric Patients With Mixed Chimerism After Hematopoietic Stem Cell Transplantation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk, Sebastian Michaelis, Michaela Döring, Thomas Eichholz, Ursula Holzer, Martin Ebinger, Tim Flaadt, Rupert Handgretinger, Peter Lang, Jan Frederic Weller, Markus Mezger   +10 more
wiley   +1 more source

Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Idiopathic multicentric Castleman disease (iMCD) is a potentially fatal immunologic disorder marked by widespread lymphadenopathy and inflammation. Siltuximab, an interleukin‐6 (IL‐6) inhibitor, is the only FDA‐approved treatment for adult patients with iMCD.
Bridget Austin, Sheila K. Pierson, Kelley C. Dacus, Mateo Sarmiento Bustamante, Saishravan Shyamsundar, Larissa Borys, Kayla McHugh, Abiola Irvine, Yoojin Jo, Adam Bagg, Mary Jo Lechowicz, Daisy Alapat, Amy Chadburn, Megan S. Lim, Gordan Srkalovic, Frits van Rhee, David C. Fajgenbaum, Joshua D. Brandstadter   +17 more
wiley   +1 more source

The Impact of the COVID‐19 Pandemic on Childhood Cancer Survival: A Population‐Based Assessment of Survival Patterns Between 2015 and 2023 in Germany

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Numerous international studies have reported declines in new cancer diagnoses, delayed diagnoses and disruptions in cancer treatment following the implementation of COVID‐19 pandemic public health measures, raising concerns that these effects may ultimately contribute to increased cancer mortality.
Friederike Erdmann, Maike Wellbrock, Javier Louro, Arndt Borkhardt, Martin Schrappe, Claudia Trübenbach, Desiree Grabow, Cécile M. Ronckers, Joachim Schüz   +8 more
wiley   +1 more source

Identities associated with Milne–Thomson type polynomials and special numbers

Journal of Inequalities and Applications, 2018
The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
doaj   +1 more source

Generalized Tepper’s Identity and Its Application

Mathematics, 2020
The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the ...
Dmitry Kruchinin, Vladimir Kruchinin, Yilmaz Simsek   +2 more
doaj   +1 more source