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Trigonometric functions and some trigonometrical identities [PDF]

open access: yesComputational Algorithms and Numerical Dimensions, 2023
Trigonometry is a part of mathematics which deals with specific functions of angles and their application, and it is studies of the dependence between the sides and angles of a triangle.
Laxmi Rathour   +4 more
doaj   +2 more sources

Extended Levett trigonometric series. [PDF]

open access: yesPLoS ONE
An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3.
Robert Reynolds
doaj   +2 more sources

Trigonometric function transformation and its application in software reliability modeling. [PDF]

open access: yesPLoS ONE
ContextMany models based on S-shaped functions demonstrate their advantages in non-homogeneous Poisson process software reliability modeling. However, three well-known types have been used without deep mathematical evaluation.
Dai-Nghia Vy   +4 more
doaj   +2 more sources

Parameter N Analysis on the Rational-Talbot Algorithm for Numerical Inversion of Laplace Transform

open access: yesVetor, 2021
This article investigates the numerical inversion of the Laplace Transform by the Rational-Talbot method and analyzes the influence on the variation of the free parameter N established by the technique when applied to certain functions.
Elisandra Freitas   +4 more
doaj   +5 more sources

On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva   +3 more
doaj   +3 more sources

On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions

open access: yesJournal of Mathematics, 2021
In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions.
Baijuan Shi
doaj   +1 more source

On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables

open access: yesCommunications in Advanced Mathematical Sciences, 2020
In the early 2000s, the geometry of a one-parameter family of generalized complex number systems was studied (Math. Mag. 77(2)(2004)). This family is denoted by Cp.
Kahraman Esen Özen
doaj   +1 more source

An elementary treatise on elliptic functions as trigonometry

open access: yesAlifmatika, 2023
This article concerns the examination of trigonometric identities from an elliptic perspective. The treatment of elliptic functions presented herein adheres to a structure analogous to the traditional exposition of trigonometric functions, with the ...
Laith H. M. Al-ossmi
doaj   +1 more source

High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]

open access: yesJisuanji kexue, 2021
As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
doaj   +1 more source

A Fractalization of Rational Trigonometric Functions

open access: yesMediterranean Journal of Mathematics, 2020
16 pages, 4 ...
Verma, S., Viswanathan, P.
openaire   +2 more sources

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