Results 41 to 50 of about 4,091,594 (313)

Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation.
Patra Asim
doaj   +1 more source

Lifestyle after Colorectal Cancer Diagnosis in Relation to Survival and Recurrence: A Review of the Literature

Current Colorectal Cancer Reports, 2017
Purpose of ReviewThis review summarizes the evidence regarding diet, physical activity, smoking, and body composition after colorectal cancer (CRC) diagnosis in relation to all-cause and CRC-specific mortality and disease recurrence and gives suggestions
M. van Zutphen, E. Kampman, E. Giovannucci, F. V. van Duijnhoven   +3 more
semanticscholar   +1 more source

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals

Mathematics, 2022
The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
Waleed Mohamed Abd-Elhameed, Andreas N. Philippou, Nasr Anwer Zeyada   +2 more
doaj   +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

Adjunctive Therapeutic Plasma Exchange in Refractory Adult‐Onset Still's Disease Complicated by Secondary Macrophage Activation Syndrome: A Single‐Center Experience

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Adult‐onset Still's disease (AOSD) complicated by macrophage activation syndrome (MAS) carries substantial mortality. The role of therapeutic plasma exchange (TPE) remains uncertain. Methods We retrospectively analyzed patients with AOSD‐MAS treated with TPE at a single‐center.
Masataka Ueda, Tomohiro Saito, Masahide Mizobuchi, Tomoki Shimomura, Saki Kawamori, Mitsuru Kawanishi, Natsuko Hattori, Jo Sugiyama, Satoshi Tsubata, Hanami Horiguchi, Kazuki Abe, Nao Iida, Yuki Kajio, Nao Oguro, Ryo Yanai, Hirokazu Honda   +15 more
wiley   +1 more source

Recurrence relation for the 6j-symbol of su_q(2) as a symmetric eigenvalue problem

, 2015
A well known recurrence relation for the 6j-symbol of the quantum group su_q(2) is realized as a tridiagonal, symmetric eigenvalue problem. This formulation can be used to implement an efficient numerical evaluation algorithm, taking advantage of ...
Anderson E., Carter J. S., Igor Khavkine, Yutsis A. P.   +3 more
core   +1 more source

Floor and ceiling functions for Pell numbers [PDF]

Notes on Number Theory and Discrete Mathematics
The analytical study of the Pell number and the role of floor and ceiling functions into their computation is examined. Closed expressions of Pell numbers were initially derived using Binet's formula, followed by an asymptotic behavior study of the ...
İsmail Sulan, Mustafa Aşçı
doaj   +1 more source

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

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

Integration of circadian and hypoxia signaling via non‐canonical heterodimerization

FEBS Letters, EarlyView.
CLOCK, BMAL1, and HIFs are basic helix‐loop‐helix and Per‐Arnt‐Sim domain (bHLH‐PAS) proteins, which function as transcription factors. bHLH‐PAS proteins are designated in two classes. Many class I proteins are regulated by environmental signals via their PAS domains, but such signals have not been identified for all.
Sicong Wang, Katja A. Lamia
wiley   +1 more source