Now showing items 1-6 of 6
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 ...
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 ...
An observation on the determinant of aSylvester-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 ...
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 ...