On Some Combinatorial Properties of Oresme Hybrationals

被引：0
|
作者：
Wloch, Iwona [1 ]
Paja, Natalia [1 ]
Szynal-Liana, Anetta [1 ]
Choi, Junesang
Dolgy, Dmitry V.
机构：
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 11期
关键词：
Horadam numbers; Oresme numbers; complex numbers; hybrid numbers;
D O I：
10.3390/sym15111996
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study the Oresme hybrationals that generalize Oresme hybrid numbers and Oresme rational functions. We give a reccurence relation and a generating function for Oresme hybrationals. Moreover, we give some of their properties, among others, Binet formulas and general bilinear index-reduction formulas, through which we can obtain Catalan-, Cassini-, Vajda-, and d'Ocagne-type identities.
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页数：13
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