On recursive hyperbolic functions in Fibonacci-Lucas sense

被引：1

作者：

Dasdemir, Ahmet ^{[1
]}

Senturk, Tuncay Deniz ^{[2
]}

Unal, Zafer ^{[1
]}

机构：

[1] Kastamonu Univ, Fac Arts & Sci, Dept Math, TR-37150 Kastamonu, Turkey

[2] Kastamonu Univ, Inst Sci & Technol, Dept Math, TR-37150 Kastamonu, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 49卷 / 06期

关键词：

Horadam hyperbolic function; Horadam spiral; quasi-sine Horadam function; Honsberger formula; Vajda's identity;

D O I：

10.15672/hujms.536435

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The hyperbolic Fibonacci and hyperbolic Lucas functions have been introduced before and have been improved to functions of the symmetrical form. In this paper, we generalize the mentioned definitions, which will be called Horadam hyperbolic sine function (HSF) and Horadam hyperbolic cosine function (HCF). Further, we present many identities and hyperbolic properties of our new definitions.

引用

页码：2046 / 2062

页数：17

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