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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]

open access: diamondMathematica Bohemica, 2023
A specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
doaj   +2 more sources

Theory on Duplicity of Finite Neutrosophic Rings [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring and neutrosophic duplex ring by way of various illustrations.
T. Chalapathi   +3 more
doaj   +1 more source

Diversity of Bivariate Concordance Measures

open access: yesMathematics, 2022
We revisit the axioms of Scarsini, defining bivariate concordance measures for a pair of continuous random variables (X,Y); such measures can be understood as functions of the bivariate copula C associated with (X,Y).
Martynas Manstavičius
doaj   +1 more source

Multiplicative functionals on function Algebras [PDF]

open access: yesRevista Matemática Complutense, 1988
It is in general of interest to identify certain characters of the algebra A of all real analytic or real \(C^ n\)-functions on some real Banach space E as point evaluations at some point of E. The authors prove a general theorem in this direction. Some applications of this theorem are cases where every character is the point evaluation.
Gómez Gil, Javier, Llavona, José G.
openaire   +4 more sources

Multiple rotation function [PDF]

open access: yesActa Crystallographica Section A Foundations of Crystallography, 2002
A simultaneous analysis of several rotation functions allows identification of the model orientation in situations when a single rotation function fails to find the answer. Multiple rotation functions can be obtained by the usual modification of the search model or by variation of the resolution at which the function is calculated. A specially suitable
Alexandre, Urzhumtsev   +1 more
openaire   +2 more sources

The Cosine-Sine Functional Equation on Semigroups

open access: yesAnnales 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
doaj   +1 more source

A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms

open access: yesAnnales 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
doaj   +1 more source

Osteoprotegerin: Multiple partners for multiple functions [PDF]

open access: yesCytokine & 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

On the multiplicative Legendre equation

open access: yesJournal 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
doaj   +1 more source

A Parametric Functional Equation Originating from Number Theory

open access: yesAnnales 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
doaj   +1 more source

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