Results 31 to 40 of about 988,651 (350)
Quadratic functional equations of Pexider type
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
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The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation
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
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Polynomial equations with one catalytic variable, algebraic series, and map enumeration [PDF]
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
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The Stability of a Quadratic Functional Equation with the Fixed Point Alternative
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
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Background: Automated calculations by laboratory information system (LIS) are efficient and accurate ways of providing calculated laboratory test results.
Michael C Chung+2 more
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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
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Open Quadratic Fermion Systems and Algebras of Affine Transformations [PDF]
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]
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
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Existence of The Solution to The Quadratic Bilinear Equation Arising from A Class of Quadratic Dynamical Systems [PDF]
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
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
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