Results 11 to 20 of about 9,324,703 (377)

On Ulam Stability of a Functional Equation

open access: yesResults in Mathematics, 2020
In this note, we study the Ulam stability of a functional equation both in Banach and m-Banach spaces. Particular cases of this equation are, among others, equations which characterize multi-additive and multi-Jensen functions.
K. Ciepliński
semanticscholar   +1 more source

Об одной нелокальной краевой задаче для модельного нелокального уравнения гиперболического типа

open access: yesVestnik 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.
doaj   +1 more source

Functional Callan–Symanzik Equations [PDF]

open access: yesAnnals of Physics, 2001
17 pages, to appear in Annals of ...
Alexandre, Jean, Polonyi, Janos
openaire   +5 more sources

Minimum functional equation and some Pexider-type functional equation on any group

open access: yesAIMS Mathematics, 2021
We discuss the solution to the minimum functional equation $ \begin{align} \min \{\, \eta(xy^{-1}), \eta(xy) \, \} = \eta(x)\eta(y), \qquad x, y \in G, \end{align} $ for a real-valued function $ \eta: G \to \mathbb{R} $ defined on arbitrary ...
Muhammad Sarfraz, Yongjin Li
doaj   +1 more source

Equating Schur functions

open access: yesThe European Physical Journal C, 2023
AbstractWe wonder if there is a way to make all Schur functions in all representations equal. This is impossible for fixed value of time variables, but can be achieved for averages. It appears that the corresponding measure is just Gaussian in times, which are all independent.
openaire   +3 more sources

An Analytical and Numerical Detour for the Riemann Hypothesis

open access: yesInformation, 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
doaj   +1 more source

Riemann zeta fractional derivative—functional equation and link with primes

open access: yesAdvances in Differential Equations, 2019
This paper outlines further properties concerning the fractional derivative of the Riemann ζ function. The functional equation, computed by the introduction of the Grünwald–Letnikov fractional derivative, is rewritten in a simplified form that reduces ...
E. Guariglia
semanticscholar   +1 more source

ON A FUNCTIONAL EQUATION [PDF]

open access: yesThe Quarterly Journal of Mathematics, 1958
We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2).The problem is to obtain the most general function f(x) which, for all positive integral values of m, n, satifies the ...
Chaundy, T. W., McLeod, J. B.
openaire   +2 more sources

Schwinger-Dyson approach to Liouville Field Theory [PDF]

open access: yes, 2015
We discuss Liouville field theory in the framework of Schwinger-Dyson approach and derive a functional equation for the three-point structure constant.
Dutta, Parikshit
core   +1 more source

Characterizations of generalized entropy functions by functional equations [PDF]

open access: yes, 2010
We shall show that a two-parameter extended entropy function is characterized by a functional equation. As a corollary of this result, we obtain that the Tsallis entropy function is characterized by a functional equation, which is a different form used ...
Furuichi, Shigeru
core   +3 more sources

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