Two double-angle formulas of generalized trigonometric functions

被引：6
|
作者：
Sato, Shota [1 ]
Takeuchi, Shingo [1 ]
机构：
[1] Shibaura Inst Technol, Dept Math Sci, Minuma Ku, 307 Fukasaku, Saitama, Saitama 3378570, Japan
来源：
JOURNAL OF APPROXIMATION THEORY | 2020年 / 250卷
关键词：
Generalized trigonometric functions; Double-angle formulas; Lemniscate function; Jacobian elliptic functions; Dixon's elliptic functions; p-Laplacian;
D O I：
10.1016/j.jat.2019.105322
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
With respect to generalized trigonometric functions, since the discovery of double-angle formula for a special case by Edmunds, Gurka and Lang in 2012, no double-angle formulas have been found. In this paper, we will establish new double-angle formulas of generalized trigonometric functions in two special cases. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页数：5
相关论文
共 50 条
  • [41] Generalized Trigonometric Functions and Elementary Applications
    Dattoli G.
    Palma E.D.
    Nguyen F.
    Sabia E.
    International Journal of Applied and Computational Mathematics, 2017, 3 (2) : 445 - 458
  • [42] Inequalities for the generalized trigonometric and hyperbolic functions
    Klen, Riku
    Vuorinen, Matti
    Zhang, Xiaohui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) : 521 - 529
  • [43] Algorithms for Calculating Generalized Trigonometric Functions
    Dronyuk, Ivanna
    ALGORITHMS, 2025, 18 (02)
  • [44] Inequalities for the generalized trigonometric and hyperbolic functions
    Ma, Xiaoyan
    Si, Xiangbin
    Zhong, Genhong
    He, Jianhui
    OPEN MATHEMATICS, 2020, 18 : 1580 - 1589
  • [45] Inequalities on generalized trigonometric and hyperbolic functions
    Yang, Chen-Yan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (02) : 775 - 782
  • [46] A NOTE ON GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
    Song, Ying-Qing
    Chu, Yu-Ming
    Liu, Bao-Yu
    Wang, Miao-Kun
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (03): : 635 - 642
  • [47] CYCLIC OUT-OF-PLANE BUCKLING OF DOUBLE-ANGLE BRACING
    ASTANEHASL, A
    GOEL, SC
    HANSON, RD
    JOURNAL OF STRUCTURAL ENGINEERING-ASCE, 1985, 111 (05): : 1135 - 1153
  • [48] CYCLIC OUT-OF-PLANE BUCKLING OF DOUBLE-ANGLE BRACING.
    Astaneh-Asl, Abolhassan
    Goel, Subhash C.
    Hanson, Robert D.
    Journal of Structural Engineering, 1985, 111 (05): : 1135 - 1153
  • [49] Double-angle shear connections with small hollow structural section columns
    Gong, Yanglin
    JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH, 2008, 64 (05) : 539 - 549
  • [50] Out-of-plane buckling and bracing requirement in double-angle trusses
    Chen, SF
    Su, MZ
    STEEL & COMPOSITE STRUCTURES, 2003, 3 (04) : 261 - 275
12345