Results 81 to 90 of about 242,259 (303)
An Injection‐Molded Modified Silicone Rubber for Cancer‐on‐Chip Applications
Advanced Materials Technologies, Volume 10, Issue 6, March 18, 2025.This study describes the characterization and application of an injection‐molded functionalized PDMS fluidic insert for the commercially available Micronit system. Modified PDMS can accommodate cell culture and is able to covalently bind proteins for long‐lasting coatings under flow‐conditions.
Ben J. Haspels +7 more
wiley +1 more source
On fourth-order jacobsthal quaternions
Journal of Mathematical Sciences and Modelling, 2018 In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula,
Gamaliel Cerda-morales
doaj +1 more source
Lucas congruences for the Ap\'ery numbers modulo $p^2$
, 2020 The sequence $A(n)_{n \geq 0}$ of Ap\'ery numbers can be interpolated to $\mathbb{C}$ by an entire function. We give a formula for the Taylor coefficients of this function, centered at the origin, as a $\mathbb{Z}$-linear combination of multiple zeta ...
Krattenthaler, Christian +2 more
core
The terms in Lucas sequences divisible by their indices [PDF]
, 2009 For Lucas sequences of the first kind (u_n) and second kind (v_n) defined as usual for positive n by u_n=(a^n-b^n)/(a-b), v_n=a^n+b^n, where a and b are either integers or conjugate quadratic integers, we describe the set of indices n for which n divides
Smyth, Chris
core +4 more sources
On the complex factorization of the Lucas sequence
Applied Mathematics Letters, 2011 In this paper, firstly we present a connection between determinants of tridiagonal matrices and the Lucas sequence. Secondly, we obtain the complex factorization of Lucas sequence by considering how the Lucas sequence can be connected to Chebyshev polynomials by determinants of a sequence of matrices.
Durmuş Bozkurt +2 more
openaire +2 more sources
Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
wiley +1 more source
On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
doaj +1 more source
Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonions
, 2015 In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these ...
Savin, Diana
core +1 more source
Harnessing Vinylogy with Radicals: Photoinduced γ‐Benzylation Reactions of 2‐Silyloxyfurans
Advanced Synthesis &Catalysis, EarlyView.Two radical‐mediated benzylations of 2‐silyloxyfurans, promoted by visible light and suitable photoredox catalysts have been disclosed. A broad scope of γ‐benzyl butenolides was obtained in one step, some of which were used as strategic precursors to bio‐valuable chiral butanolides.
Enrico Marcantonio +12 more
wiley +1 more source
A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence
Discrete Dynamics in Nature and Society, 2013 We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
Aynur Yalçiner
doaj +1 more source