Results 11 to 20 of about 12,430,796 (323)
IEEE Transactions on Automatic Control, 2021 This article is concerned with the exponential mean-square stabilization problem for a class of discrete-time strict-feedback nonlinear systems subject to multiplicative noises.
Min Wang +3 more
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A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
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A note on multiplicative functions resembling the Möbius function [PDF]
Journal of Number Theory, 2019 We provide examples of multiplicative functions f supported on the square free integers, such that on primes f ( p ) = ± 1 and such that M f ( x ) : = ∑ n ≤ x f ( n ) = o ( x ) .
Marco Aymone
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Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Annales Mathematicae Silesianae, 2023 In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
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Osteoprotegerin: Multiple partners for multiple functions [PDF]
Cytokine & Growth Factor Reviews, 2013 Osteoprotegerin (OPG) is an essential secreted protein in bone turnover due to its role as a decoy receptor for the Receptor Activator of Nuclear Factor-kB ligand (RANKL) in the osteoclasts, thus inhibiting their differentiation. However, there are additional ligands of OPG that confer various biological functions.
Baud'huin, M.E. +8 more
openaire +2 more sources
The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line [PDF]
Annals of Probability, 2016 We prove that if $\omega$ is uniformly distributed on $[0,1]$, then as $T\to\infty$, $t\mapsto \zeta(i\omega T+it+1/2)$ converges to a non-trivial random generalized function, which in turn is identified as a product of a very well behaved random smooth ...
E. Saksman, Christian Webb
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The Cosine-Sine Functional Equation on Semigroups
Annales Mathematicae Silesianae, 2022 The primary object of study is the “cosine-sine” functional equation f(xy) = f(x)g(y)+g(x)f(y)+h(x)h(y) for unknown functions f, g, h : S → ℂ, where S is a semigroup.
Ebanks Bruce
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On the multiplicative Legendre equation
Journal of Taibah University for Science, 2022 When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
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A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms
Annales Mathematicae Silesianae, 2022 Let S be a semigroup, and let φ, ψ: S → S be two endomorphisms (which are not necessarily involutive). Our main goal in this paper is to solve the following generalized variant of d’Alembert’s functional equation f(xϕ(y))+f(ψ(y)x)=2f(x)f(y), x,y ∈ S,
Akkaoui Ahmed +2 more
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Divisor-bounded multiplicative functions in short intervals [PDF]
Research in the Mathematical Sciences, 2021 We extend the Matomäki–Radziwiłł theorem to a large collection of unbounded multiplicative functions that are uniformly bounded, but not necessarily bounded by 1, on the primes.
Alexander P. Mangerel
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