Results 51 to 60 of about 3,946,822 (379)

Generating Functions for Four Classes of Triple Binomial Sums

Mathematics, 2022
By means of the generating function approach, four classes of triple sums involving circular products of binomial coefficients are investigated. Recurrence relations and rational generating functions are established.
Marta Na Chen, Wenchang Chu
doaj   +1 more source

Recurrence relation for relativistic atomic matrix elements

, 2000
Recurrence formulae for arbitrary hydrogenic radial matrix elements are obtained in the Dirac form of relativistic quantum mechanics. Our approach is inspired on the relativistic extension of the second hypervirial method that has been succesfully ...
A L Salas-Brito, Bjorken J D, Blanchard P, Bluhm R, Constantinescu F, De Lange O L, Grant I P, Greiner W, H N Núñez-Yépez, Kobus J, Martínez-y-Romero R P, Martínez-y-Romero R P, Moss R E, Núñez-Yépez H N, Pasternack S, Quiney H M, R P Martínez-y-Romero   +16 more
core   +1 more source

A Determinantal Expression and a Recurrence Relation for the Euler Polynomials

, 2016
In the paper, by a very simple approach, the author establishes an expression in terms of a lower Hessenberg determinant for the Euler polynomials. By the determinantal expression, the author finds a recurrence relation for the Euler polynomials.
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar   +1 more source

Complete k-ary trees and generalized meta-Fibonacci sequences [PDF]

Discrete Mathematics & Theoretical Computer Science, 2006
We show that a family of generalized meta-Fibonacci sequences arise when counting the number of leaves at the largest level in certain infinite sequences of k-ary trees and restricted compositions of an integer.
Chris Deugau, Frank Ruskey
doaj   +1 more source

Recurrence relations for the midpoint method

Tamkang Journal of Mathematics, 2000
In this paper, we present a new convergence analysis and error estimates for the Midpoint method in Banach spaces by using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations. Finally, we give three examples where we improve the error bounds are better given by other authors.
Ezquerro Fernández, José Antonio, Salanova Martínez, Amparo, Hernández Verón, Miguel Angel   +2 more
openaire   +4 more sources

Discrete Hypergeometric Legendre Polynomials

Mathematics, 2021
A discrete analog of the Legendre polynomials defined by discrete hypergeometric series is investigated. The resulting polynomials have qualitatively similar properties to classical Legendre polynomials.
Tom Cuchta, Rebecca Luketic
doaj   +1 more source

On Characterization of Gompertz Distribution by Properties of Generalized Record Values [PDF]

Journal of Statistical Theory and Applications (JSTA), 2014
In this chapter, we derive some recurrence relations satisfied by single and product moments of generalized record values arising from Gompertz and inverted Gompertz distributions.
S. Minimol, P. Yageen Thomas
doaj   +1 more source

Dynamic changes of T-cell subsets and their relation with tumor recurrence after microwave ablation in patients with hepatocellular carcinoma

Journal of Cancer Research and Therapeutics, 2018
Aims: Thermal ablation can evoke an immune response, which may have effects on the prognosis of patients with hepatocellular carcinoma (HCC). Our aim is to investigate the changes of circulating T-cell subsets after microwave ablation (MWA) and to ...
Yan Zhou, Xiaolin Xu, J. Ding, X. Jing, Fengmei Wang, Yandong Wang, Peng Wang   +6 more
semanticscholar   +1 more source

Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia

FEBS Letters, EarlyView.
This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
wiley   +1 more source

Primary extranodal diffuse large B‐cell lymphoma: Molecular features, treatment, and prognosis

Aging and Cancer, Volume 3, Issue 3-4, Page 133-146, September-December 2022., 2022
One‐third of DLBCL arises from extranodal organs and is challenging to manage. Molecular features are critical to elucidate the differences in clinical features, predict the disease prognosis, and improve effective targeted therapeutic strategies. Abstract Diffuse large B‐cell lymphoma (DLBCL) is the most common subtype of non‐Hodgkin's lymphoma and ...
Si‐Yuan Chen, Meng‐Meng Ji, Peng‐Peng Xu, Wei‐Li Zhao   +3 more
wiley   +1 more source