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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]
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
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Theory on Duplicity of Finite Neutrosophic Rings [PDF]
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
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Diversity of Bivariate Concordance Measures
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
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Multiplicative functionals on function Algebras [PDF]
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.
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Multiple rotation function [PDF]
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
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The Cosine-Sine Functional Equation on Semigroups
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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A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms
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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Osteoprotegerin: Multiple partners for multiple functions [PDF]
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
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On the multiplicative Legendre equation
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 Parametric Functional Equation Originating from Number Theory
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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