Results 51 to 60 of about 320 (176)
ABSTRACT Cell recognition and uptake of extracellular vesicles (EVs) is mediated by a variety of surface molecules. Growing interest has recently been drawn towards glycan structures on EVs. Hyaluronic acid (HA) is a negatively charged glycosaminoglycan that can decorate the surface of EVs from different origins.
Heikki Kyykallio +10 more
wiley +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė +2 more
doaj +1 more source
Homogeneous Observer‐Based Affine Formation Tracking
ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López +3 more
wiley +1 more source
Partial Sums of the Hurwitz and Allied Functions and Their Special Values
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang +2 more
doaj +1 more source
A Weighted Universality Theorem for Periodic Zeta-Functions
The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė +2 more
doaj +1 more source
We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan +4 more
wiley +1 more source
Hyperharmonic series involving Hurwitz zeta function
For integers \(r\geq 1\) and \(m\geq r+1\) the authors prove that \[ \sum_{n=1}^\infty\frac{H_n^{(r)}}{n^m}=\sum_{n=1}^\infty H_n^{(r-1)}\sum_{p=0}^\infty\frac{1}{(n+p)^m}, \] where \(H_n^{(r)}\) are the hyperharmonic numbers.
Mező, István, Dil, Ayhan
openaire +2 more sources
Mating parabolic rational maps with Hecke groups
Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett +3 more
wiley +1 more source

