Yazar "Kizilaslan, Gonca" için listeleme
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Farey-Pell Sequence, Approximation To Irrationals And Hurwitz's Inequality
Akkus, Ilker; Irmak, Nurettin; Kizilaslan, Gonca (Int Center Scientific Research & Studies, 2016)The purpose of this paper is to give the notion of Farey-Pell sequence. We investigate some identities of the Farey-Pell sequence. Finally, a generalization of Farey-Pell sequence and an approximation to irrationals via ... -
Generalization of a statistical matrix and its factorization
Akkus, Ilker; Kizilaslan, Gonca (Taylor & Francis Inc, 2019)We consider a special matrix with integer coefficients and obtain an LU factorization for its member by giving explicit closed-form formulae of the entries of L and U. Our result is applied to give the closed-form formula ... -
The linear algebra of a Pascal-like matrix
Zheng, De-Yin; Akkus, Ilker; Kizilaslan, Gonca (TAYLOR & FRANCIS LTD, 2020)A Pascal-like matrix is constructed whose row entries are the terms of the modified Hermite polynomials of two variables. The multiplication of the two Pascal-like matrices and the power and inverse of the Pascal-like ... -
On some Properties of Tribonacci Quaternions
Akkus, Ilker; Kizilaslan, Gonca (Ovidius Univ Press, 2018)In this paper, we give some properties of the Tribonacci and Tribonacci-Lucas quaternions and obtain some identities for them. -
Quaternions: Quantum calculus approach with applications
Akkus, Ilker; Kizilaslan, Gonca (Academic Publication Council, 2019)In this paper we introduce two types of quaternion sequences with components including quantum integers. We also introduce quantum quaternion polynomials. Moreover, we give some properties and identities for these quantum ... -
Some New Quaternionic Quadratics with Zeros in Terms of Second Order Quaternion Recurrences
Akkus, Ilker; Kizilaslan, Gonca (Springer Basel Ag, 2019)In this paper a comprehensive analysis of the Horadam quaternion zeros for some new types of bivariate quadratic quaternion polynomial equations is presented. -
Torsion homology growth for noncongruence subgroups of Bianchi groups
Kizilaslan, Gonca; Sengun, Mehmet Haluk (WORLD SCIENTIFIC PUBL CO PTE LTD, 2020)We carry out numerical experiments to investigate the growth of torsion in their first homology of noncongruence subgroups of Bianchi groups. The data we collect suggest that the torsion homology growth conjecture of ... -
A variant of the reciprocal super Catalan matrix
Kilic, Emrah; Akkus, Ilker; Kizilaslan, Gonca (De Gruyter Poland Sp Zoo, 2015)Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formula for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues ...