Results 21 to 30 of about 10,632,797 (342)

Extended Prudnikov sum

open access: yesAIMS Mathematics, 2022
A Prudnikov sum is extended to derive the finite sum of the Hurwitz-Lerch Zeta function in terms of the Hurwitz-Lerch Zeta function. This formula is then used to evaluate a number trigonometric sums and products in terms of other trigonometric functions.
Robert Reynolds, Allan Stauffer
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

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

Approximation on the regular hexagon

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
doaj   +7 more sources

Generalized Trigonometric Functions [PDF]

open access: yesMathematics of Computation, 1964
is also that of all functions of the form (1 + x2)-2N-c+lQ(x) where Q is a polynomial of degree 4N 2 or lower, the conditions determining the above formula for any a and N are the same as those determining Harper's formula for (using "k" and "n" in the meaning given them in [1]) k = a + 2N -2, n = 2N.
openaire   +2 more sources

Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions

open access: yesJournal of Mathematical Inequalities, 2020
In this paper, we prove Wilker and Huygens type inequalities for inverse trigonometric functions. This solves two conjectures proposed by Chao-Ping Chen. Also, we present new sharp Wilker and Huygens type inequalities for trigonometric functions.
Bo Zhang, Chao Chen
semanticscholar   +1 more source

k-Fractional trigonometric functions [PDF]

open access: yes, 2014
Based on the k-Mittag-Lefler function and the k-α-Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some ...
Cerutti, Ruben Alejandro   +1 more
core   +1 more source

Didactical Design on Drawing and Analysing Trigonometric Functions Graph through a Unit Circle Approach

open access: yesInternational Electronic Journal of Mathematics Education, 2020
A Trigonometric function is one of the challenging materials for not only high school students but also pre-service teachers and teachers. On the other hand, An understanding of trigonometric function is an initial stage in understanding calculus derived
C. L. Maknun, R. Rosjanuardi, Al Jupri
semanticscholar   +1 more source

Properties of generalized univariate hypergeometric functions [PDF]

open access: yes, 2006
Based on Spiridonov's analysis of elliptic generalizations of the Gauss hypergeometric function, we develop a common framework for 7-parameter families of generalized elliptic, hyperbolic and trigonometric univariate hypergeometric functions.
B. Nassrallah   +27 more
core   +4 more sources

SOME WAYS OF SOLVING TRIGONOMETRIC EQUATIONS IN SECONDARY SCHOOL [PDF]

open access: yesVestnik Issyk-Kulʹskogo universiteta
The scientific article discusses methods for solving trigonometric equations in the high school mathematics course. Trigonometric equations are one of the most important topics in high school mathematics.
Nazarbaeva M. T.   +2 more
doaj   +1 more source

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