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NEW SPECIAL FUNCTIONS APPLIED TO REPRESENT THE WEIERSTRASS–MANDELBROT FUNCTION
Fractals ( IF 3.3 ) Pub Date : 2024-05-04 , DOI: 10.1142/s0218348x23401138 XIAO-JUN YANG 1, 2, 3 , LU-LU GENG 1 , YU-RONG FAN 1
中文翻译:
用于表示 Weierstrass-Mandelbrot 函数的新特殊函数
更新日期:2024-05-04
Fractals ( IF 3.3 ) Pub Date : 2024-05-04 , DOI: 10.1142/s0218348x23401138 XIAO-JUN YANG 1, 2, 3 , LU-LU GENG 1 , YU-RONG FAN 1
Affiliation
This work is devoted to the subtrigonometric and subhyperbolic functions in terms of theWiman class for the first time. The conjectures for the subsine and subcosine functions are considered in detail. The Weierstrass–Mandelbrot function is represented as the hyperbolic subsine, and hyperbolic subcosine functions to get new results for the nondifferentiable functions.
中文翻译:
用于表示 Weierstrass-Mandelbrot 函数的新特殊函数
这项工作首次致力于 Wiman 类的次三角函数和次双曲函数。详细考虑了次正弦和次余弦函数的猜想。 Weierstrass-Mandelbrot 函数表示为双曲子正弦函数和双曲子余弦函数,以获得不可微函数的新结果。