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2004, 3rd ed., ISBN 9780123822567, xxvi, 453
.... It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus... 
Mathematics | Tables
Book
2013, Fifth edition., ISBN 9780321797056, xix, 756 pages
.... Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods... 
Differential equations, Partial | Fourier series | Boundary value problems
Book
by Yu, Han
Journal of number theory, ISSN 0022-314X, 11/2017, Volume 180, pp. 512 - 532
Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials... 
Generalized trigonometric functions | Infinite series | Rational functions | MATHEMATICS
Journal Article
Journal of approximation theory, ISSN 0021-9045, 2012, Volume 164, Issue 1, pp. 47 - 56
Various properties of the generalized trigonometric functions sin p , q are established... 
[formula omitted]-circle | Generalized trigonometric functions | Addition formula | Basis properties | [formula omitted]-Laplacian | P, q-Laplacian | P-circle | MATHEMATICS | p, q-Laplacian | p-circle
Journal Article
Computational and Applied Mathematics, ISSN 0101-8205, 7/2014, Volume 33, Issue 2, pp. 411 - 431
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 06/2016, Volume 283, pp. 299 - 315
The aim of this paper is to apply a computation method due to Malešević and Makragić (Malešević and Makragić, 2016) for approximating some trigonometric functions... 
Trigonometric approximation | Wilker inequality | MATHEMATICS, APPLIED | Electrical engineering | Intervals | Approximation | Computation | Mathematical analysis | Inequalities | Mathematical models | Trigonometric functions | Estimates
Journal Article
Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, ISSN 1364-5021, 02/2015, Volume 471, Issue 2174, p. 20140642
We improve the currently known thresholds for basisness of the family of periodically dilated p,q-sine functions... 
Generalized trigonometric functions | Riesz basis | Schauder basis | generalized trigonometric functions | P-LAPLACIAN | MULTIDISCIPLINARY SCIENCES | 1008 | 1440
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 14
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2018, Volume 468, Issue 1, pp. 103 - 115
We develop a new point of view to introduce families of functions, which can be identified as generalization of the ordinary trigonometric or hyperbolic functions... 
Integral transforms | Umbral calculus | Laguerre polynomials | Operational methods | Airy forms | Trigonometric and hyperbolic functions | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
International journal of intelligent systems, ISSN 0884-8173, 2018, Volume 33, Issue 3, pp. 634 - 652
Journal Article
Complex analysis and operator theory, ISSN 1661-8262, 2017, Volume 12, Issue 5, pp. 1179 - 1191
Some sufficient conditions are determined for certain first order differential subordinations to imply the corresponding analytic solution is subordinate to a rational, exponential, or sine function... 
Subordination | Starlike and convex function | Operator Theory | 30C45 | Analysis | Sine function | Mathematics, general | Mathematics | Lemniscate of Bernoulli | 30C80 | Exponential function | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | BERNOULLI | MATHEMATICS | LEMNISCATE | RADII | DIFFERENTIAL SUBORDINATION | STRONGLY STARLIKE FUNCTIONS | SUBCLASS
Journal Article
The Rocky Mountain journal of mathematics, ISSN 0035-7596, 1/2012, Volume 42, Issue 1, pp. 25 - 57
A natural generalization of the sine function occurs as an eigenfunction of the Dirichlet problem for the one-dimensional p-Laplacian... 
Series convergence | Mathematical integrals | Sine function | Eigenvalues | Eigenfunctions | Mathematical functions | Mathematical inequalities | Trigonometric functions | Fourier coefficients | MATHEMATICS
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2018, Volume 28, Issue 14, p. 1850176
.... In this paper, we establish a chaotic framework based on a Sine–Cosine compound function system by analyzing the existing one-dimensional Sine map and Chebyshev map... 
Sine-Cosine compound function | Sine-tangent map | Cosine-Polynomial map | Sine-exponent map | Devaney chaos | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENCRYPTION ALGORITHM | MULTIDISCIPLINARY SCIENCES
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 11
... to remarkable inequalities involving trigonometric functions Gabriel Bercu * * Correspondence: gbercu@ugal.ro Department of Mathematics and Computer Sciences, ‘Dun˘ area de... 
Analysis | 41A21 | 33B10 | Mathematics, general | trigonometric inequalities | Mathematics | Applications of Mathematics | Padé approximant | rational refinement | 26D15 | 26D05 | WILKER | MATHEMATICS | MATHEMATICS, APPLIED | CUSA-HUYGENS | Pade approximant | Pade approximation | Trigonometric functions | Approximants | Inequalities
Journal Article
Monthly notices of the Royal Astronomical Society, ISSN 0035-8711, 2018, Volume 474, Issue 2, pp. 2094 - 2108
.... In this work, we test an appropriate effective model: a Gaussian Process with a quasi-periodic covariance kernel function... 
Techniques: photometric | Starspots | Methods: data analysis | Methods: statistical | Stars: rotation | Stars: solar-type | RADIAL-VELOCITY OBSERVATIONS | PLANETS | GYROCHRONOLOGY | methods: data analysis | techniques: photometric | SIGNALS | starspots | MODEL | DIFFERENTIAL EVOLUTION |