Hyperbolic functions obtained from k-Pell sequences

被引：0
|
作者：
Kuloglu, Bahar [1 ]
Ozkan, Engin [2 ]
机构：
[1] Erzincan Binali Yildirim Univ, Grad Sch Nat & Appl Sci, Erzincan, Turkiye
[2] Erzincan Binali Yildirim Univ, Fac Arts & Sci, Erzincan, Turkiye
来源：
AFRIKA MATEMATIKA | 2024年 / 35卷 / 01期
关键词：
k-Pell sequence; k-Pell number; Pell hyperbolic function; Metallic Shofars;
D O I：
10.1007/s13370-023-01160-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, an expansion of the classical hyperbolic functions is presented and studied. Also, many features of the k- Pell hyperbolic functions are given. Finally, some graph and curved surfaces related to the k - Pell hyperbolic functions are introduced.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] Hyperbolic functions obtained from k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{k}}$$\end{document}-Pell sequences
    Bahar Kuloğlu
    Engin Özkan
    [J]. Afrika Matematika, 2024, 35 (1)
  • [42] Hyperbolic functions with second order recurrence sequences
    Kocer, E. Gokcen
    Tuglu, Naim
    Stakhov, Alexey
    [J]. ARS COMBINATORIA, 2008, 88 : 65 - 81
  • [43] The k-Lucas Hyperbolic Functions
    Tasci, Dursun
    Azman, Huriye
    [J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2014, 5 (01): : 11 - 21
  • [44] The k-Fibonacci hyperbolic functions
    Falcon, Sergio
    Plaza, Angel
    [J]. CHAOS SOLITONS & FRACTALS, 2008, 38 (02) : 409 - 420
  • [45] The Sequences of the Hyperbolic k-Perrin and k-Leonardo Quaternions
    Mangueira, M.
    Vieira, R.
    Alves, F.
    Catarino, P.
    [J]. JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (04)
  • [46] The k-nacci Sequences and The Generalized Order-k Pell Sequences in The Semi-Direct Product of Finite Cyclic Groups
    Deveci, Omur
    [J]. CHIANG MAI JOURNAL OF SCIENCE, 2013, 40 (01): : 89 - 98
  • [47] EXTENDED RESULTS ON INTEGER VALUES OF GENERATING FUNCTIONS FOR SEQUENCES GIVEN BY PELL'S EQUATIONS
    Tsuno, Yuji
    [J]. FIBONACCI QUARTERLY, 2021, 59 (02): : 158 - 166
  • [48] HYPERBOLIC CURVATURE AND K-CONVEX FUNCTIONS
    Song, Tai Sung
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2006, 13 (02): : 151 - 155
  • [49] On the generalized k-Fibonacci hyperbolic functions
    Ipek, Ahmet
    [J]. ARS COMBINATORIA, 2010, 97A : 467 - 484
  • [50] Some properties of starlike functions subordinate to k-Pell-Lucas numbers
    Altinkaya, Sahsene
    Kara, Yeliz
    Ozkan, Yesim Saglam
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021, 27 (03):
12345