Results 31 to 40 of about 988,651 (350)

Quadratic functional equations of Pexider type

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
First, the quadratic functional equation of Pexider type will be solved. By applying this result, we will also solve some functional equations of Pexider type which are closely associated with the quadratic equation.
Soon-Mo Jung
doaj   +1 more source

The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch   +2 more
doaj   +1 more source

Polynomial equations with one catalytic variable, algebraic series, and map enumeration [PDF]

open access: yes, 2005
Let $F(t,u)\equiv F(u)$ be a formal power series in $t$ with polynomial coefficients in $u$. Let $F\_1, ..., F\_k$ be $k$ formal power series in $t$, independent of $u$. Assume all these series are characterized by a polynomial equation $$ P(F(u), F\_1, .
Bousquet-Mélou, Mireille   +1 more
core   +3 more sources

The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

open access: yesAbstract and Applied Analysis, 2009
Lee, An and Park introduced the quadratic functional equation f(2x+y)+f(2x−y)=8f(x)+2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias.
Choonkil Park, Ji-Hye Kim
doaj   +1 more source

Implementation of automated calculation of free and bioavailable testosterone in Epic Beaker laboratory information system

open access: yesJournal of Pathology Informatics, 2017
Background: Automated calculations by laboratory information system (LIS) are efficient and accurate ways of providing calculated laboratory test results.
Michael C Chung   +2 more
doaj   +1 more source

Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean n,β-Normed Spaces

open access: yesJournal of Function Spaces, 2021
In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean n,β-normed spaces.
Nazek Alessa   +3 more
doaj   +1 more source

Open Quadratic Fermion Systems and Algebras of Affine Transformations [PDF]

open access: yesarXiv, 2023
We study evolution of open quadratic fermion systems in the framework of the quantum Markovian semigroup approach. We show that the algebra concerning commutators of Liouvillians for systems of quadratic interacting fermions of finite number, say $\mathcal{N}$, is isomorphic to that of certain affine transformations on the space of square matrices of ...
arxiv  

On The Ternary Quadratic Equation [PDF]

open access: yesAcademic Journal of Applied Mathematical Sciences, 2020
This article concerns with the method of determining different solutions in integers to (Equation) by reducing it to through employing transformations. A special case has been illustrated along with the corresponding properties. Also, given an integer solution, a process of obtaining sequence of integer solutions based on its given solution is ...
A. Vijayasankar   +2 more
openaire   +1 more source

Existence of The Solution to The Quadratic Bilinear Equation Arising from A Class of Quadratic Dynamical Systems [PDF]

open access: yesarXiv, 2021
A quadratic dynamical system with practical applications is taken into considered. This system is transformed into a new bilinear system with Hadamard products by means of the implicit matrix structure. The corresponding quadratic bilinear equation is subsequently established via the Volterra series.
arxiv  

Picard and Adomian decomposition methods for a fractional quadratic integral equation via generalized fractional integral

open access: yesIraqi Journal for Computer Science and Mathematics
 The primary focus of this paper is to thoroughly examine and analyze a class of a fractional quadratic integral equation via generalized fractional integral.
Alan Jalal Abdulqader   +4 more
doaj   +1 more source

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