Now showing items 1-10 of 57
Solutions to conjectures on a nonlinear recursive equation
(Springer Science and Business Media Deutschland GmbH, 2020-10-01)
We obtain solutions to some conjectures about the onlinear difference equation xn+1=α+βxn−1e−xn,n=0,1,…,α,β'0. More precisely, we get not only a condition under which the equilibrium point of the above equation is globally ...
New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries
(Hacettepe University, 2020-04-02)
In this paper, we present new analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries consist of the Fibonacci and Lucas numbers. We shall derive explicit formulæ for their LU-decompositions ...
Formulæ for multi-parameter Gaussian q-binomial sums with applications
(Springer Nature, 2020-06)
Some Gaussian q-binomial sum identities from KAO are further generalized, introducing two additional parameters. We prove the claimed results by q-calculus. Finally we present applications to the generalized Fibonomial ...
Evaluation of sums of products of Gaussian q-binomial coefficients with rational weight functions
Generalizing earlier results, sums over the products of the Gaussian q-binomial coefficients are computed. Some applications of the results for special choices of q are emphasized. The results are obtained by the elementary ...
Quadratic sums of Gaussian q-binomial coefficients and Fibonomial coefficients
In this paper we evaluate quadratic sums of Gaussian q-binomial coefficients with two additional parameters. We obtain a general summation theorem using a combination of Heine’s transformation, the q-Pfaff–Saalschutz theorem ...
An observation on the determinant of a Sylvester-Kac type matrix
Based on a less-known result, we prove a recent conjecture concern-ing the determinant of a certain Sylvester-Kac type matrix related tosome Lie Algebras. The determinant of an extension of that matrix ispresented.
Approximation by max-min operators: A general theory and its applications
(Elsevier B.V., 2020-09-01)
In this study, we obtain a general approximation theorem for max-min operators including many significant applications. We also study the error estimation in this approximation by using Hölder continuous functions. The ...
Analysis of an epidemic model for transmitted disease in two age classes
(Hacettepe Journal of Mathematics and Statistics, 2020-06)
Infectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The ...
A new type of Sylvester–Kac matrix and its spectrum
(Taylor and Francis Ltd., 2021)
The Sylvester–Kac matrix, sometimes known as Clement matrix, has many extensions and applications throughout more than a century of its existence. The computation of the eigenvalues or even the determinant have always been ...
Türkiye İslam Tarihçiliğine Eleştirel Bir Yaklaşım Tecrübesi Ve Yeni Bir Tarih Yazımı Teklif Taslağı
(Siyer Yayınları, 2020)
In the article below, some observations and views of ours are expressed on the mentality, approach and methodology problems of Islamic historiography in Turkey. The argument of the article is that the Islamic historiography ...