The Discriminant of the Characteristic Polynomial of the $k$th Fibonacci sequence is not a member of the $k$th Lucas sequence [PDF]
arXivLet $k\ge 2$ and $\{L_n^{(k)}\}_{n\geq 2-k}$ be the sequence of $k$-generalized Lucas numbers whose first $k$ terms are $0,\ldots,0,2,1$ and each term afterwards is the sum of the preceding $k$ terms. In this paper, we show that this sequence does not contain the discriminant of its characteristic polynomial.
arxiv
An Indole Dearomatization Strategy for the Synthesis of Pseudo‐Natural Products
ChemBioChem, Accepted Article.The indole moiety is a privileged fragment that frequently populates existing bioactive compound collections. We describe the development of an indole‐dearomatization sequence and its application for library expansion of a collection of indole‐containing pseudo‐NPs.
Joseph G.F. Hoock +13 more
wiley +1 more source
Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials
Düzce Üniversitesi Bilim ve Teknoloji DergisiIn this study, we investigate the periodic characteristics of Leonardo, Leonardo-Lucas, and Gaussian Leonardo sequences, presenting our findings through lemmas and theorems.
Abdullah Dertli, Selime Beyza Özçevik
doaj +1 more source
THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES [PDF]
, 2013 Zafer Şi̇ar, Refi̇k Keski̇n
openalex +1 more source
Kearns‐Sayre syndrome case. Novel 5,9 kb mtDNA deletion
Molecular Genetics &Genomic Medicine, Volume 11, Issue 1, January 2023., 2023 Novel 5,9 kb mtDNA deletion was identified for a 20‐year‐old male who presented with classic Kearns‐Sayre syndrome. Different molecular genetic methods were applied to identify the mitochondrial DNA deletion, but obtaining conflicting research results demonstrated the importance of choosing relevant molecular genetic methods. Abstract Background Kearns‐
Kristina Grigalionienė +4 more
wiley +1 more source
New expressions for certain polynomials combining Fibonacci and Lucas polynomials
AIMS MathematicsWe establish a new sequence of polynomials that combines the Fibonacci and Lucas polynomials. We will refer to these polynomials as merged Fibonacci-Lucas polynomials (MFLPs).
Waleed Mohamed Abd-Elhameed +1 more
doaj +1 more source
Synthesis of α‐Arylglycosides by Ni‐Photoredox Arylation of Sugars with an Organic Photocatalyst
ChemCatChem, Accepted Article.Herein we report a Ni‐photoredox catalytic methodology for the synthesis of C‐aryl glycosides via arylation of monosaccharides unprotected at the anomeric position. In our work, the iridium‐complex previously employed as photocatalyst in this kind of Ni‐photoredox arylation of alcohols, was replaced by 5CzBN – a readily available donor‐acceptor ...
Gianluca Cavazzoli +6 more
wiley +1 more source
Pioneering Women Shaping the Field of Biocatalysis
ChemCatChem, EarlyView.Groundbreaking works of women scientists in biocatalysis are highlighted in this article. Their innovative contributions are categorized in four interrelated research areas, collectively driving advancements in enzymatic biotransformations. Abstract In this perspective article, we celebrate the accomplishments of female‐led research groups in ...
Ana I. Benítez‐Mateos +3 more
wiley +1 more source
Generalized Fibonacci – Like Sequence Associated with Fibonacci and Lucas Sequences [PDF]
, 2015 Yogesh Kumar Gupta +2 more
openalex +1 more source
Dual Nickel/Titanium Catalyzed Cross‐Electrophile Coupling of Thioesters with Benzylic Alcohols
ChemCatChem, Accepted Article.This work focuses on the development of a new method for ketone synthesis via cross electrophile coupling (XEC) starting from widely available and low‐cost reagents. We demonstrate the XEC of benzylic alcohols and thioesters under reductive conditions and in the presence of trimethylsilyl chloride (TMSCl) using a dual catalytic system consisting of an ...
Anne Haupt, Ivana Fleischer
wiley +1 more source