Results 21 to 30 of about 10,632,797 (342)
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
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High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]
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
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An elementary treatise on elliptic functions as trigonometry
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
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Approximation on the regular hexagon
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
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Generalized Trigonometric Functions [PDF]
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
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
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k-Fractional trigonometric functions [PDF]
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
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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
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Properties of generalized univariate hypergeometric functions [PDF]
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
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SOME WAYS OF SOLVING TRIGONOMETRIC EQUATIONS IN SECONDARY SCHOOL [PDF]
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
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