8 Result(s) for ' functional equation'
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Context: In this paper we study Hyers-Ulam stability of the generalized Tribonacci functional equation ,  where a, b and c are non- zero constants. The functional equation is...
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Context: In this paper, we establish the general solution of a 2-variable quadratic functional equation f(2x+y,2z+w)=f(x+y,z+w)-f(x-y,z
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Context: In this paper, we investigate the Hyers-Ulam stability of mixed type additive and quartic functional equation s in Random p-normed spaces by direct and fixed-point method.
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Context: ...blish new fixed point theorems in complete metric spaces. As an application of our results, we prove existence and uniqueness of functional equation s and system of differential equations. Our results provide extension as well as substantial generalizations and improveme...
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A Proof of the Riemann Hypothesis
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Young Hwan Yun
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American Journal of Applied Mathematics and Statistics. 2024 12 (4). doi: 10.12691/ajams-12-4-3
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Keywords: Zeta function, trivial zeros, critical line, functional equation
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Context: ...the Riemann Hypothesis. It begins by deriving the relationship equation at the zeros of the Riemann zeta function from Riemann's functional equation . This equation follows the Schwarz reflection principle, indicating that the zeros of the zeta function are restricted to...
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Context: ...i>d-metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equation s. An example is given to show the validity of our work. Our results improve/generalize several well known recent and clas...
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Avoidance of Type (1,2) Patterns by Catalan Words
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Toufik Mansour, Mark Shattuck
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Turkish Journal of Analysis and Number Theory. 2017 5 (3). doi: 10.12691/tjant-5-3-4
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Keywords: vincular patterns, functional equation , kernel method, pattern avoidance
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Context: ...) wherein the second and third letters within an occurrence of a pattern are required to be adjacent. We derive in several cases functional equation s satisfied by the generating functions enumerating members of the avoidance class which we solve by various methods. In o...
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Context: ...onal Iteration Method (VIM), which is a semi analytical method. The VIM is used to obtain solutions of both nonlinear and linear functional equation s without discretizing the equations or approximating the operators. The solution when it exists is found in a rapidly con...
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