Results 61 to 70 of about 2,005,506 (332)
Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
Universal Journal of Mathematics and Applications, 2018 We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
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A Note on Bi-Orthogonal Polynomials and Functions
Fluids, 2020 The theory of orthogonal polynomials is well established and detailed, covering a wide field of interesting results, as, in particular, for solving certain differential equations.
Clemente Cesarano
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FEBS Letters, EarlyView.Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur +5 more
wiley +1 more source
The Generating Functions for Special Pringsheim Continued Fractions
Communications in Advanced Mathematical Sciences, 2020 In previous works, some relations between Pringsheim continued fractions and vertices of the paths of minimal length on the suborbital graphs $\mathrm{\mathbf{F}}_{u,N}$ were investigated.
Ali Hikmet Değer, Ümmügülsün Akbaba
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On the Distribution of Generating Functions [PDF]
Bulletin of the London Mathematical Society, 1998 The generating function \(f_P(\alpha)\) associated with the \(k\)th powers is defined by \[ f_P(\alpha)= \sum_{1\leq n\leq P} \exp(i2\pi\alpha n^k). \] For \(\alpha\in (0,1]\), let \(f(\alpha)= P^{-1/2}|f_P(\alpha)|\). It has been conjectured that \[ \int_0^1 f(\alpha)^s d\alpha\sim \Gamma (\tfrac s2+1).
Vaughan, RC, Wooley, TD
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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Generalized Chromatic Functions
International Mathematics Research NoticesAbstract We define vertex-colourings for edge-partitioned digraphs, which unify the theory of $P$-partitions and proper vertex-colourings of graphs. We use our vertex-colourings to define generalized chromatic functions, which merge the chromatic symmetric and quasisymmetric functions of graphs and generating functions of $P$-partitions.
Aliniaeifard, Farid +2 more
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CCT4 promotes tunneling nanotube formation
FEBS Letters, EarlyView.Tunneling nanotubes (TNTs) are membranous tunnel‐like structures that transport molecules and organelles between cells. They vary in thickness, and thick nanotubes often contain microtubules in addition to actin fibers. We found that cells expressing monomeric CCT4 generate many thick TNTs with tubulin.
Miyu Enomoto +3 more
wiley +1 more source
Determinants of some Hessenberg matrices with generating functions
Special Matrices, 2022 In this paper, we derive some relationships between the determinants of some special lower Hessenberg matrices whose entries are the terms of certain sequences and the generating functions of these sequences.
Leerawat Utsanee, Daowsud Katthaleeya
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