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On the Stability of Mixed Additive--Quadratic and Additive--Drygas Functional Equations [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we have improved some of the results in [C. Choi and B. Lee, Stability of Mixed Additive-Quadratic and Additive--Drygas Functional Equations. Results Math. 75 no. 1 (2020), Paper No. 38].
Abbas Najati +2 more
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On Two Problems Related to Divisibility Properties of z(n)
Mathematics, 2021 The order of appearance (in the Fibonacci sequence) function z:Z≥1→Z≥1 is an arithmetic function defined for a positive integer n as z(n)=min{k≥1:Fk≡0(modn)}. A topic of great interest is to study the Diophantine properties of this function. In 1992, Sun
Pavel Trojovský
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Extensions of solutions of a functional equation in two variables [PDF]
Opuscula Mathematica, 2009 An extension theorem for the functional equation of several variables \[f(M(x,y))=N(f(x),f(y)),\] where the given functions \(M\) and \(N\) are left-side autodistributive, is presented.
Janusz Matkowski
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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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On extension of solutions of a simultaneous system of iterative functional equations [PDF]
Opuscula Mathematica, 2009 Some sufficient conditions which allow to extend every local solution of a simultaneous system of equations in a single variable of the form \[ \varphi(x) = h (x, \varphi[f_1(x)],\ldots,\varphi[f_m(x)]),\] \[\varphi(x) = H (x, \varphi[F_1(x)],\ldots ...
Janusz Matkowski
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Об одной нелокальной краевой задаче для модельного нелокального уравнения гиперболического типа
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 В работе проводится исследование задачи с внутренне-краевым нехарактеристическим смещением для модельного существенно нагруженного уравнения гиперболического типа второго порядка с двумя независимыми переменными.
Аттаев, А.Х.
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An Analytical and Numerical Detour for the Riemann Hypothesis
Information, 2021 From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight into Hadamard’s product formula. The function S1(s)=d(lnF(s))/ds and its family of associated Sm functions, expressed as a sum of rational fractions, are ...
Michel Riguidel
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Analytic embedding of pseudo-Helmholtz geometry [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 For modern geometry, the study of maximal mobility geometries is of great importance. Some of these geometries are well studied (Euclidean, pseudo-Euclidean, symplectic, spherical, Lobachevsky, etc.), and others are poorly understood (Helmholtz, pseudo ...
Kyrov, Vladimir A.
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The Role of Riemann’s Zeta Function in Mathematics and Physics †,‡
Universe, 2019 In particular, Riemann’s impact on mathematics and physics alike is demonstrated using methods originating from the theory of numbers and from quantum electrodynamics, i.e., from the behavior of an electron in a prescribed external electromagnetic ...
Walter Dittrich
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Discrete Integrals Based on Comonotonic Modularity
Axioms, 2013 It is known that several discrete integrals, including the Choquet and Sugeno integrals, as well as some of their generalizations, are comonotonically modular functions.
Jean-Luc Marichal, Miguel Couceiro
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