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Now showing items 1-10 of 26

#### 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 ...

#### On The Fundamental Units of Certain Real Quadratic Number Fields

(2017)

In this paper, we consider the real quadratic fields Q^ h d where d is a square free positive integer congruent to 1(mod4). We constructthe parametrization of d which correspond to some types of real quadratic fields ...

#### Notes On Especial Continued Fraction Expansions and Real Quadratic Number Fields

(2016-06)

The primary purpose of this paper is to classify real quadratic fields Q(?d) which include the form of specific continued fraction expansion of integral basis element ???????????? for arbitrary period length ? = ?(??????) ...

#### 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 Some Particular Sets

(2016-12)

For t an integer, a Pt set is defined as a set of m positive integers with the property that the product of its any two distinct element increased by t is a perfect square integer. In this study, the certain special P-5, ...

#### 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. ...

#### PIECEWISE QUADRATIC BOUNDING FUNCTIONS FOR FINDING REAL ROOTS OF POLYNOMIALS

(Amer Inst Mathematical Sciences-Aims, 2021)

In this paper, our main interest is to create/ construct a new useful and outstanding algorithm to obtain roots of the real polynomial represented by f(x) = c(0) +c(1)x+ ... + c(i)x(i) + ... + c(n)(x)n where coefficients ...

#### 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 ...

#### On the generalized C*- valued metric spaces related with Banach fixed point theory

(Inst Advanced Science Extension, 2017)

The Banach contraction principle, which shows that every contractive mapping has a unique fixed point in a complete metric space, has been extended in many directions. One of the branches of this theory is devoted to the ...

#### NOTES ON ESPECIAL CONTINUED FRACTION EXPANSIONS AND REAL QUADRATIC NUMBER FIELDS

(Kırklareli Üniversitesi, 2016)

The primary purpose of this paper is to classify real quadratic fields Q(?d) whichinclude the form of specific continued fraction expansion of integral basis element ???? forarbitrary period length ? = ?(??) where d ? ...