ON UNRESTRICTED DUAL-GENERALIZED COMPLEX HORADAM NUMBERS

被引：0

作者：

Ait-Amrane, N. Rosa ^{[1
,2
]}

Tan, Elif ^{[3
]}

机构：

[1] Medea Univ, Dept Math & Comp Sci, Fac Sci, Medea 26000, Algeria

[2] Lab Math & Its Applicat, LaMa, Medea, Algeria

[3] Ankara Univ, Sci Fac, Dept Math, TR-06100 Ankara, Turkiye

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 02期

关键词：

Hypercomplex numbers; dual generalized complex numbers; Horadam numbers; Fibonacci numbers; FIBONACCI;

D O I：

10.31801/cfsuasmas.1406328

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. This research introduces a novel category of dual-generalized complex numbers, with components represented by unrestricted Horadam numbers. We present various recurrence relations, summation formulas, the Binet formula, and the generating function associated with these numbers. Additionally, a comprehensive bilinear index-reduction formula is derived, which encompasses Vajda's, Catalan's, Cassini's, D'Ocagne's, and Halton's identities as specific cases.

引用

页码：517 / 528

页数：12

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