Makale Koleksiyonu: Recent submissions

Now showing items 21-40 of 190

Integral points on the elliptic curve y(2) = x(3)+27x-62

Karaatlı, Olcay; Keskin, Refik (SPRINGEROPEN, 2013)

We give a new proof that the elliptic curve y(2) = x(3) + 27x - 62 has only the integral points (x, y) = (2, 0) and (x, y) = (28,844,402, +/- 15,491,585,540) using elementary number theory methods and some properties of ...
SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS

Keskin, Refik (HACETTEPE UNIV, FAC SCI, 2013)

U2mn+r equivalent to (-t)(mn) U-r (mod U-m).
Spinor Bishop Equations of Curves in Euclidean 3-Space

Ünal, Doğan; Tosun, Murat (SPRINGER BASEL AG, 2013)

In this paper, we study spinor Bishop equations of curves in . We research the spinor formulations of curves according to Bishop frames in . Also, the relations between spinor formulations of Bishop frames and Frenet frame ...
On Complex Fibonacci Quaternions

Halıcı, Serpil (SPRINGER BASEL AG, 2013)

Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
On some Diophantine equations

Demirtürk Bitim, Bahar; Keskin, Refik (SPRINGEROPEN, 2013)

for p >= 3 and a square-free integer p(2) - 4. In addition to these, all solutions of some different Diophantine equations such as x(2) - v(2n)xy + y(2) = -(p(2) - 4)u(n)(2), x(2) - v(n)xy + y(2) = -(p(2) - 4), x(2) - ...
ON THE LUCAS SEQUENCE EQUATIONS V-n = kV(m) AND U-n = kU(m)

Keskin, Refik (ARS POLONA-RUCH, 2013)

Let P and Q be nonzero integers. The sequences of generalized Fibonacci and Lucas numbers are defined by U-0 = 0, U-1 = 1 and Un+1 = PUn - QU(n-1) for n >= 1, and V-0 = 2, V-1 = P and Vn+1 = PVn - QV(n-1) for n >= 1, ...
Generalized difference sequence spaces associated with a multiplier sequence on a real n-normed space

Konca, Şükran; Başarır, Metin (SPRINGEROPEN, 2013)

The purpose of this paper is to introduce new sequence spaces associated with a multiplier sequence by using an infinite matrix, an Orlicz function and a generalized B-difference operator on a real n-normed space. Some ...
ON SOME INEQUALITIES AND HANKEL MATRICES INVOLVING PELL, PELL-LUCAS NUMBERS

Halıcı, Serpil (EDITURA ACAD ROMANE, 2013)

In [4], the authors defined Toeplitz and Hankel matrices with Pell numbers and gave bounds for the spectral norms of them. In this study, we define Hankel matrices involving the Pell, Pell-Lucas and modified Pell sequences ...
Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations

Gözükızıl, Ömer Faruk (SPRINGER INTERNATIONAL PUBLISHING AG, 2012)

In this paper, we consider some nonlinear pseudo-parabolic Benjamin-Bona-Mahony-Burgers (BBMB) equations. These equations are of a class of nonlinear pseudo-parabolic or Sobolev-type equations , alpha is a fixed positive ...
On nonsingularity of combinations of three group invertible matrices and three tripotent matrices

Özdemir, Halim; Sarduvan, Murat (TAYLOR & FRANCIS LTD, 2013)

Let T?=?c 1 T 1?+?c 2 T 2?+?c 3 T 3?-?c 4(T 1 T 2?+?T 3 T 1?+?T 2 T 3), where T 1, T 2, T 3 are three n?x?n tripotent matrices and c 1, c 2, c 3, c 4 are complex numbers with c 1, c 2, c 3 nonzero. In this article, necessary ...
On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a space

Şahin, Aynur; Başarır, Metin (SPRINGER INTERNATIONAL PUBLISHING AG, 2013)

MSC: 47H09, 47H10.
SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS

Keskin, Refik (HACETTEPE UNIV, FAC SCI, 2013)

U2mn+r equivalent to (-t)(mn) U-r (mod U-m).
Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences

Keskin, Refik; Demirtürk Bitim, Bahar (CHARLES BABBAGE RES CTR, 2013)

In this study, we deal with some Diophantine equations. By using the generalized Fibonacci and Lucas sequences, we obtain all integer solutions of some Diophantine equations such as x(2) - kxy - y(2) = -/+ 1, x(2) - kxy + ...
A study on time-like complementary ruled surfaces in the Minkowski n-space

Tosun, Murat; Güngör, Mehmet Ali (SHIRAZ UNIV, 2005)

For the first time in the Minkowski space, an R-1(n) time-like complementary ruled surface is described and relations are given connected with an asymptotic and tangential bundle of the time-like complementary ruled surface. ...
On a disjoint idempotent decomposition for linear combinations produced from n commutative tripotent matrices

Özdemir, Halim; Kişi, Emre; Uç, Mahmut (ELSEVIER SCIENCE INC, 2012)

It has been established a 3(n)-term disjoint idempotent decomposition ( DID) for the linear combinations produced from n (>= 2) commutative tripotent matrices, their products and their products of power 2 at most. The ...
Bobillier Formula for One Parameter Motions in the Complex Plane

Ersoy, Soley (ASME-AMER SOC MECHANICAL ENG, 2012)

This is a brief note expanding on the aspect of Fayet (2002, "Bobillier Formula as a Fundamental Law in Planar Motion," Z. Angew. Math. Mech., 82(3), pp. 207-210), which investigates the Bobillier formula by considering ...
On the Existence of Perfect Linear Codes Over Z(2 ') with Respect to Homogenous Metric

Şiap, Vedat; Özen, Mehmet (SPRINGER HEIDELBERG, 2013)

In this paper, we obtain bounds for error correcting codes of some particular homogeneous weights over the ring of integers modulo . We also study these bounds to check for perfect linear codes and have shown the non-existence ...
The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions

Gözükızıl, Ömer Faruk (SPRINGEROPEN, 2013)

We studied mostly important four nonlinear pseudoparabolic physical models: the Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation, the Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation, the one-dimensional ...
Codes over Hurwitz integers

Güzeltepe, Murat (ELSEVIER SCIENCE BV, 2013)

In this study, we obtain new classes of linear codes over Hurwitz integers equipped with a new metric. We refer to the metric as the Hurwitz metric. Also, we define decoding algorithms for these codes when up to two ...
Some generalized difference statistically convergent sequence spaces in 2-normed space

Başarır, Metin; Konca, Şükran (SPRINGEROPEN, 2013)

In this paper, we define a new generalized difference matrix Bn(m) and introduce some Bn(m)-difference statistically convergent sequence spaces in a real linear 2-normed space. We also investigate some topological properties ...