Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Dorota Bród"'
Autor:
Dorota Bród, Anetta Szynal-Liana
Publikováno v:
Mathematica Bohemica, Vol 149, Iss 1, Pp 75-85 (2024)
In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained. This
Externí odkaz:
https://doaj.org/article/302fcc1a88eb41b493cad07ead30f124
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1397 (2024)
In this paper, we introduce and study balancing hybrinomials, i.e., polynomials being a generalization of balancing hybrid numbers. We provide some properties of the balancing hybrinomials, including Catalan, Cassini, d’Ocagne, and Vajda identities
Externí odkaz:
https://doaj.org/article/f04ef9ed92af465f9a4e2a4278465c4b
Autor:
Dorota Bród, Anetta Szynal-Liana
Publikováno v:
Examples and Counterexamples, Vol 3, Iss , Pp 100102- (2023)
In this paper, some examples of matrix generators for generalized commutative Jacobsthal quaternions were given. The generating matrices are useful tools for the number sequences satisfying a recurrence relation. They can be used for an algebraic rep
Externí odkaz:
https://doaj.org/article/8330acb96b9647d7afde4cc303202880
Autor:
Dorota Bród
Publikováno v:
Symmetry, Vol 16, Iss 3, p 373 (2024)
Quaternions and split quaternions are used in quantum physics, computer science, and in many areas of mathematics. In this paper, we define and study two new classes of split quaternions, namely balancing split quaternions and Lucas-balancing split q
Externí odkaz:
https://doaj.org/article/9a8a4dbc52e046d586e309a2d4ffda4c
Publikováno v:
Opuscula Mathematica, Vol 37, Iss 4, Pp 479-490 (2017)
In this paper we show the applications of the Fibonacci numbers in edge coloured trees. We determine the second smallest number of all \((A,2B)\)-edge colourings in trees. We characterize the minimum tree achieving this second smallest value.
Externí odkaz:
https://doaj.org/article/b0763d66b2f9456383353207f8e69070
Autor:
Dorota Bród, Andrzej Włoch
Publikováno v:
Symmetry, Vol 13, Iss 2, p 303 (2021)
In this paper we introduce and study (2,k)-distance Fibonacci polynomials which are natural extensions of (2,k)-Fibonacci numbers. We give some properties of these polynomials—among others, a graph interpretation and matrix generators. Moreover, we
Externí odkaz:
https://doaj.org/article/461a3944fd7c408ea49f65f7a023326a
Publikováno v:
Symmetry, Vol 12, Iss 11, p 1866 (2020)
In this paper, we study two generalizations of dual-hyperbolic balancing numbers: dual-hyperbolic Horadam numbers and dual-hyperbolic k-balancing numbers. We give Catalan’s identity, Cassini’s identity, and d’Ocagne’s identity for them.
Externí odkaz:
https://doaj.org/article/4c390f928dc64dbcaf95d16d0544e07a
Publikováno v:
Przeszłość Demograficzna Polski, Vol 38 (2016)
There are two aims in the article; firstly, to present the theoretical assumptions and the calculation techniques used in inverse projection. The method, widely known in the Anglo-Saxon literature, created in the 1970s by Ronald D. Lee and developed
Externí odkaz:
https://doaj.org/article/3d5cdb6889b74acc9e399ed2229ac352
Autor:
Dorota Bród
Publikováno v:
Journal of Applied Mathematics, Vol 2015 (2015)
We introduce three new two-parameter generalizations of Fibonacci numbers. These generalizations are closely related to k-distance Fibonacci numbers introduced recently. We give combinatorial and graph interpretations of distance (r,k)-Fibonacci numb
Externí odkaz:
https://doaj.org/article/f0e6e9dd57194e76b6894f85e81de64d
Autor:
Dorota Bród, Zdzisław Skupień
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 10 no. 1, Iss Graph and Algorithms (2008)
Graphs and Algorithms
Externí odkaz:
https://doaj.org/article/d73dbdb704b2459f9aa414b5ed9aeac6