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Toplam kayıt 12, listelenen: 1-10
On the Some Non Extandable Regular P-2 Sets
(Univ Putra Malaysia Press, 2018)
Diophantine 3-tuples with property P-k, for k an integer, are sets of n positive integers such that product of any two of them by adding k is a square. In the present paper, we consider some regular P-k- triples and prove ...
Fibonacci Sequence and Continued Fraction Expansions in Real Quadratic Number Fields
(Univ Putra Malaysia Press, 2017)
In 2002, Tomita and Yamamuro defined several theorems for fundamental unit of certain real quadratic number fields. Although, there are infinitely many values of d having all 1s in the symmetric part of continued fraction ...
On the system of double equations with three unknowns d + ay + bx + cx2 = z2, y + z = x2
(Semnan University, Center of Excellence in Nonlinear Analysis and Applications, 2021)
The system of double equations with three unknowns given by d + ay + bx + cx2 = z2, y + z = x2 is analysed for its infinitely many non-zero distinct integer solutions. Different sets of integer solutions have been presented. ...
Exact solution for sawada–kotera equation using backland transformations and travelling wave solutions
(Research Publication, 2021)
Nonlinear phenomena are very important in a variety of scientific fields. Finding solutions of nonlinear partial differential equations is one of the most difficult problems in mathematics and physics. A precise solution ...
A Note on the Structure of Certain Real Quadratic Number Fields
(Springer International Publishing Ag, 2017)
The aim of this paper is to determine the general forms of the continued fraction expansions of the quadratic irrational number w(d) which is integral basis element of Z [1+root d/2] also determine t(d); u(d) which are the ...
An Algorithm for Explicit Form of Fundamental Units of Certain Real Quadratic Fields and Period Eight
(European Journal Pure & Applied Mathematics, 2015)
In this paper, we have given an explicit formulation to determine the form of the fundamental units of certain real quadratic number fields. This new algorithm for such quadratic fields is first in the literature and it ...
A result on the coupled fixed point theorems in C?-algebra valued b-metric spaces
(Forum-Editrice Universitaria Udinese SRL, 2019)
The aim of this paper is to establish a new Coupled Fixed Point Theorems for C?-algebra valued b-metric spaces. As an application of our result, we discuss the existence and uniqueness results for Couple Fixed Point Theorem ...
SOME RESULTS ON SPECIAL CONTINUED FRACTION EXPANSIONS IN REAL QUADRATIC NUMBER FIELDS
(Univ Prishtines, 2016)
The aim of this paper is to determine and investigate the continued fractions expansions of wd for the real quadratic number fields Q(root d) for which the period has constant elements that are completely equal to 2 (except ...
Representation of integers by k-generalized Fibonacci sequences and applications in cryptography
(World Scientific Publ Co Pte Ltd, 2021)
The aim of this paper is to construct a relation between tribonacci numbers and generalized tribonacci numbers. Besides, certain conditions are obtained to generalize the representation of a positive integer N which is ...
A result on the coupled fixed point theorems in C*-algebra valued b-metric spaces
(Forum Editrice Univ Udinese, 2019)
The aim of this paper is to establish a new Coupled Fixed Point Theorems for C*-algebra valued b-metric spaces. As an application of our result, we discuss the existence and uniqueness results for Couple Fixed Point Theorem ...