In this paper we define and study balancing quaternions and Lucas-balancing quaternions. We give the generating functions, matrix generators and Binet formulas for these numbers. Moreover, the well-known properties e.g. Catalan, d’ Ocagne identities have been obtained for these quaternions
In this study, we have considered Gaussian Lucas numbers and given the properties of these numbers. ...
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
In this study, we define the binomial transforms of balancing and Lucas-balancing polynomials. Also,...
The aim of this article is to investigate two new classes of quaternions, namely, balancing and Luca...
WOS:000631504700010In this study, we define the binomial transforms of balancing and Lucas-balancing...
In this paper, we introduce the split k-Fibonacci and k-Lucas quaternions. We obtain the Binet formu...
In this paper, we give a generalization of the Fibonacci and Lucas quaternions. We obtain the Binet ...
In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions ...
In this paper, we introduce split Jacobsthal and split Jacobsthal-Lucas quaternions. We obtain gener...
In this paper we introduce and study the split Horadam quaternions. We give some identities, among o...
WOS:000357759400022In this paper, we introduce h(x)-Lucas quaternion polynomials that generalize k-L...
In this work we deduce some new algebraic relations on balancing numbers and their relationships wit...
In this paper, we derive some combinatorial properties of generalized Fibonacci quaternion Q(n) and ...
The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A line...
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generat...
In this study, we have considered Gaussian Lucas numbers and given the properties of these numbers. ...
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
In this study, we define the binomial transforms of balancing and Lucas-balancing polynomials. Also,...
The aim of this article is to investigate two new classes of quaternions, namely, balancing and Luca...
WOS:000631504700010In this study, we define the binomial transforms of balancing and Lucas-balancing...
In this paper, we introduce the split k-Fibonacci and k-Lucas quaternions. We obtain the Binet formu...
In this paper, we give a generalization of the Fibonacci and Lucas quaternions. We obtain the Binet ...
In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions ...
In this paper, we introduce split Jacobsthal and split Jacobsthal-Lucas quaternions. We obtain gener...
In this paper we introduce and study the split Horadam quaternions. We give some identities, among o...
WOS:000357759400022In this paper, we introduce h(x)-Lucas quaternion polynomials that generalize k-L...
In this work we deduce some new algebraic relations on balancing numbers and their relationships wit...
In this paper, we derive some combinatorial properties of generalized Fibonacci quaternion Q(n) and ...
The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A line...
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generat...
In this study, we have considered Gaussian Lucas numbers and given the properties of these numbers. ...
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
In this study, we define the binomial transforms of balancing and Lucas-balancing polynomials. Also,...
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