Derivatives of tangent function and tangent numbers [PDF]
In the paper, by induction, the Faà di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and cosine functions, obtains explicit formulas for two Bell polynomials of the second kind for successive ...
Feng Qi
exaly +4 more sources
Very High Accuracy Hyperbolic Tangent Function Implementation in FPGAs
The paper presents in detail a relatively simple implementation method of the hyperbolic tangent function, particularly targeted for FPGAs. The research goal of the proposed method was to examine the usage of the approximation of ordinary or Chebyshev ...
Zbigniew Hajduk, Grzegorz Rafal Dec
doaj +2 more sources
Pre-service mathematics teachers’ nature of understanding of the tangent function
Mathematics teachers’ ability to translate and make connections between representations of functions requires investigation. Consequently, this qualitative case study article focuses on pre-service mathematics teachers’ nature of understanding of the ...
Priestly Malambo
doaj +2 more sources
Finding the Values of Trigonometric Function without the Use of Scientific Calculators: The Case of Tangent Function. [PDF]
In the realm of calculating trigonometric functions, computing the tangent function with a high degree of accuracy and precision without using scientific calculators has been an area of interest and importance.
Tole Fikadu Aga
doaj +2 more sources
This paper presents a TADRC method via active disturbance rejection control (ADRC) with hyperbolic tangent function for path following of underactuated surface ships with input constraint, heading rate constraint, parameters uncertainties, as well as ...
Ronghui Li +3 more
doaj +2 more sources
Second-order lower radial tangent derivatives and applications to set-valued optimization [PDF]
We introduce the concepts of second-order radial composed tangent derivative, second-order radial tangent derivative, second-order lower radial composed tangent derivative, and second-order lower radial tangent derivative for set-valued maps by means of ...
Bihang Xu, Zhenhua Peng, Yihong Xu
doaj +2 more sources
Some properties of a class of holomorphic functions associated with tangent function
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar +5 more
doaj +2 more sources
Higher Derivatives of the Tangent and Inverse Tangent Functions and Chebyshev Polynomials [PDF]
The higher derivatives of the tangent and hyperbolic tangent functions are determined. Formulas for the higher derivatives of the inverse tangent and inverse hyperbolic tangent functions as polynomials are stated and proved. Using another formula for the higher derivatives of the inverse tangent function from literature, two known formulas for the ...
Kronenburg, M. J.
openaire +3 more sources
On Analytic Univalent Function Associated With Tangent Hyperbolic Function [PDF]
Within this article, we propose some sufficient conditions for analytic functions correlated with tangent hyperbolic function. We investigate convolution conditions, integral conservation properties and coefficient sufficiency criteria for this family of
Gehan Elyazyd +3 more
doaj +2 more sources
A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function
Thresholding function is an important part of the wavelet threshold denoising method, which can influence the signal denoising effect significantly. However, some defects are present in the existing methods, such as function discontinuity, fixed bias ...
Can He +4 more
semanticscholar +3 more sources

