Results 101 to 110 of about 9,522 (300)
Identities for generalized Fibonacci numbers : a combinatorial approach [PDF]
This note shows a combinatorial approach to some identities for generalized Fibonacci numbers. While it is a straightforward task to prove these identities with induction, and also by arithmetical manipulations such as rearrangements, the approach used ...
Plaza, A., Falcón, S.
core +1 more source
Determining Parental Factors for Clinical Trial Attrition in Pediatric Acute Lymphoblastic Leukemia
ABSTRACT Background/Objectives Despite high enrollment rates on Children's Oncology Group (COG) protocols, attrition after initial consent is challenging, introducing bias and prolonging trial completion. While adult oncology literature has identified predictors of withdrawal, little is known about caregiver decision‐making for child participation in ...
Kimberly L. Stathas +3 more
wiley +1 more source
Theta Function Identities of Level 16 and Their Applications to Colored Partitions
Theta function identities play an important role in the theory of modular forms and partitions, with Ramanujan’s q-series providing a fundamental analytical framework.
Fatemah Mofarreh +2 more
doaj +1 more source
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu +2 more
doaj +1 more source
A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
wiley +1 more source
A new class of infinite products, and Euler's totient
We introduce some new infinite products, the simplest being(1−y)∏k=2∞∏j∈ϕk(1−ykqj)1/k=(1−y1−qy)1/(1−q),where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q≠1.
Geoffrey B. Campbell
doaj +1 more source
Combinatorial Identities on Multinomial Coefficients and Graph Theory [PDF]
We study combinatorial identities on multinomial coefficients.
Lee, Seungho
core +1 more source
Combinatorial proofs of identities of Calkin and Hirschhorn [PDF]
The purpose of this article is to give combinatorial proofs of some binomial identities which were proved by Calkin [Discrete Math. 131 (1994) 335–337] and Hirschhorn [Discrete Math. 159 (1996) 273–278]
Zhang, Zhizheng, Feng, Hong
core +1 more source
ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye +33 more
wiley +1 more source
A generalized formula of Hardy
We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi-crystal structure and self-similarity. Other recent work has given continued fractions for the type of functions herein.
Geoffrey B. Campbell
doaj +1 more source

