On Special Spacelike Hybrid Numbers

Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. A hyperbolic complex structure is frequently used in both pure mathematics and numerous areas of physics. In this paper we introduce a special kind of spacelike hybrid number, namely the F(p,n)-Fibonacci hybrid numbers and we give some of their properties.

[1]  Can Kızılateş.  A new generalization of Fibonacci hybrid and Lucas hybrid numbers , 2020 .

[2]  I. Włoch,et al.  Introduction to Fibonacci and Lucas hybrinomials , 2020, Complex Variables and Elliptic Equations.

[3]  Yanyan Liu,et al.  Some New Identities of Second Order Linear Recurrence Sequences , 2019, Symmetry.

[4]  Ibrahim Nabeel Joudah,et al.  On a New Formula for Fibonacci’s Family m-step Numbers and Some Applications , 2019, Mathematics.

[5]  Zhuoyu Chen,et al.  Some Convolution Formulae Related to the Second-Order Linear Recurrence Sequence , 2019, Symmetry.

[6]  Yuankui Ma,et al.  Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers , 2018, Mathematics.

[7]  A. Szynal-Liana.  The Horadam Hybrid Numbers , 2018 .

[8]  Mustafa Özdemir,et al.  Introduction to Hybrid Numbers , 2018 .

[9]  R. Silva.  New Identities from a Combinatorial Approach to Generalized Fibonacci and Generalized Lucas Numbers , 2013, Ars Comb..

[10]  M. Liana,et al.  On F(p, n)-Fibonacci bicomplex numbers , 2018 .

[11]  Iwona Wloch,et al.  Total Graph Interpretation of the Numbers of the Fibonacci Type , 2015, J. Appl. Math..

[12]  Zdzislaw Skupien,et al.  Sums of Powered Characteristic Roots Count Distance-Independent Circular Sets , 2013, Discuss. Math. Graph Theory.

[13]  Andrzej Wloch,et al.  Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers , 2013, Appl. Math. Comput..

[14]  Andrzej Wloch,et al.  On generalized Fibonacci numbers and k-distance Kp-matchings in graphs , 2012, Discret. Appl. Math..

[15]  W. Pola.  Some Interpretations of the Generalized Fibonacci Numbers , 2012 .

[16]  Ivan Gutman,et al.  Maxima and Minima of the Hosoya Index and the Merrifield-Simmons Index , 2010 .

[17]  A. Stakhov,et al.  On the Fibonacci and Lucas p-numbers, their sums, families of bipartite graphs and permanents of certain matrices , 2009 .

[18]  A. Frydryszak.  Dual numbers and supersymmetric mechanics , 2005 .

[19]  S. Ulrych.  Relativistic quantum physics with hyperbolic numbers , 2000, physics/0009079.

[20]  Iwona Wloch,et al.  Generalized Fibonacci polynomial of graph , 2003, Ars Comb..

[21]  Thomas Koshy,et al.  Fibonacci and Lucas Numbers With Applications , 2018 .

[22]  Iwona Wloch,et al.  The total number of generalized stable sets and kernels of graphs , 2000, Ars Comb..

[23]  S. Ulrych.  A second order differential equation for the relativistic description of electrons and photons , 1999, hep-th/9904170.

[24]  A. F. Horadam.  Basic Properties of a Certain Generalized Sequence of Numbers , 1965 .