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

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

Differential equations, Partial | Fourier series | Boundary value problems

Book

Nonlinear dynamics, ISSN 1573-269X, 2018, Volume 92, Issue 4, pp. 2077 - 2092

... functions, trigonometric functions and hyperbolic functions. All solutions have been verified back into its corresponding equation by Maple...

Engineering | Vibration, Dynamical Systems, Control | Lump solutions | Interaction | Classical Mechanics | Hirota bilinear method | Positive quadratic functions, trigonometric functions and hyperbolic functions | Automotive Engineering | Mechanical Engineering | Potential-Yu–Toda–Sasa–Fukuyama equation | trigonometric functions and hyperbolic functions | RATIONAL SOLUTIONS | SCHRODINGER-EQUATION | MODEL | Potential-Yu-Toda-Sasa-Fukuyama equation | OPTICAL SOLITONS | ENGINEERING, MECHANICAL | BACKLUND TRANSFORMATION | Positive quadratic functions | MECHANICS | EVOLUTION | SOLITARY-WAVE SOLUTIONS | DYNAMICS | Mechanical engineering | Quadratic equations | Hyperbolic functions | Trustworthiness | Trigonometric functions

Engineering | Vibration, Dynamical Systems, Control | Lump solutions | Interaction | Classical Mechanics | Hirota bilinear method | Positive quadratic functions, trigonometric functions and hyperbolic functions | Automotive Engineering | Mechanical Engineering | Potential-Yu–Toda–Sasa–Fukuyama equation | trigonometric functions and hyperbolic functions | RATIONAL SOLUTIONS | SCHRODINGER-EQUATION | MODEL | Potential-Yu-Toda-Sasa-Fukuyama equation | OPTICAL SOLITONS | ENGINEERING, MECHANICAL | BACKLUND TRANSFORMATION | Positive quadratic functions | MECHANICS | EVOLUTION | SOLITARY-WAVE SOLUTIONS | DYNAMICS | Mechanical engineering | Quadratic equations | Hyperbolic functions | Trustworthiness | Trigonometric functions

Journal Article

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

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

[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

2005, ISBN 0821838415, x, 197

Book

Computational and Applied Mathematics, ISSN 0101-8205, 7/2014, Volume 33, Issue 2, pp. 411 - 431

A control point form of quadratic trigonometric function is developed which obeys all the properties of Bézier curve...

Computational Mathematics and Numerical Analysis | Error estimation | Mathematics | 68U05 | Bézier curve | Mathematical Applications in Computer Science | Trigonometric function | 65D05 | Shape preservation | Applications of Mathematics | Mathematical Applications in the Physical Sciences | 65D07 | 65D18 | MATHEMATICS, APPLIED | Bezier curve | PIECEWISE CUBIC INTERPOLATION

Computational Mathematics and Numerical Analysis | Error estimation | Mathematics | 68U05 | Bézier curve | Mathematical Applications in Computer Science | Trigonometric function | 65D05 | Shape preservation | Applications of Mathematics | Mathematical Applications in the Physical Sciences | 65D07 | 65D18 | MATHEMATICS, APPLIED | Bezier curve | PIECEWISE CUBIC INTERPOLATION

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

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

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

In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions...

Cusa–Huygens’s inequality | Chen–Sándor’s inequality | Analysis | Monotonically increasing function | Trigonometric function | Monotonically decreasing function | Mathematics, general | Mathematics | Applications of Mathematics | WILKER | MATHEMATICS | MATHEMATICS, APPLIED | CUSA-HUYGENS | Chen-Sandor's inequality | Cusa-Huygens's inequality | Trigonometric functions | Inequalities

Cusa–Huygens’s inequality | Chen–Sándor’s inequality | Analysis | Monotonically increasing function | Trigonometric function | Monotonically decreasing function | Mathematics, general | Mathematics | Applications of Mathematics | WILKER | MATHEMATICS | MATHEMATICS, APPLIED | CUSA-HUYGENS | Chen-Sandor's inequality | Cusa-Huygens's inequality | Trigonometric functions | Inequalities

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

Integral transforms | Umbral calculus | Laguerre polynomials | Operational methods | Airy forms | Trigonometric and hyperbolic functions | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of magnetism and magnetic materials, ISSN 0304-8853, 2019, Volume 480, pp. 112 - 131

....•There is an optimum frequency that maximum heat transfer happen.•Four different frequency function were applied to generate oscillating magnetic field...

Ferrofluid | Magneto convection | Oscillating magnetic field | Constant magnetic field | Frequency functions | Heat transfer | NATURAL-CONVECTION | PHYSICS, CONDENSED MATTER | ROTATING POROUS DISK | FORCED-CONVECTION | TRANSFER ENHANCEMENT | MATERIALS SCIENCE, MULTIDISCIPLINARY | THERMAL-CONDUCTIVITY | MIXED CONVECTION | ENTROPY GENERATION | CONVECTIVE HEAT-TRANSFER | THERMOMAGNETIC CONVECTION | NONUNIFORM MAGNETIC-FIELD | Magnetic flux | Dipoles | Fluid dynamics | Reynolds number | Triangles | Fluid flow | Thermal boundary layer | Finite volume method | Velocity distribution | Convection | Heat flux | Ferrofluids | Pressure drop | Magnetism | Magnetic fields | Trigonometric functions

Ferrofluid | Magneto convection | Oscillating magnetic field | Constant magnetic field | Frequency functions | Heat transfer | NATURAL-CONVECTION | PHYSICS, CONDENSED MATTER | ROTATING POROUS DISK | FORCED-CONVECTION | TRANSFER ENHANCEMENT | MATERIALS SCIENCE, MULTIDISCIPLINARY | THERMAL-CONDUCTIVITY | MIXED CONVECTION | ENTROPY GENERATION | CONVECTIVE HEAT-TRANSFER | THERMOMAGNETIC CONVECTION | NONUNIFORM MAGNETIC-FIELD | Magnetic flux | Dipoles | Fluid dynamics | Reynolds number | Triangles | Fluid flow | Thermal boundary layer | Finite volume method | Velocity distribution | Convection | Heat flux | Ferrofluids | Pressure drop | Magnetism | Magnetic fields | Trigonometric functions

Journal Article

International journal of intelligent systems, ISSN 0884-8173, 2018, Volume 33, Issue 3, pp. 634 - 652

...) based on the cosine function by considering the degree of membership, degree of nonmembership and degree of hesitation in PFSs...

medical diagnosis | cosine similarity measure | cosine function | Pythagorean fuzzy sets | pattern recognition | POTENTIAL OPTIMALITY | INFORMATION | LINGUISTIC AGGREGATION OPERATORS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ATTRIBUTE DECISION-MAKING | MODELS | RESTRICTED EQUIVALENCE FUNCTIONS | EINSTEIN OPERATIONS | VALUES | Fuzzy sets | Similarity | Similarity measures | Diagnosis | Pattern recognition | Medical diagnosis | Trigonometric functions

medical diagnosis | cosine similarity measure | cosine function | Pythagorean fuzzy sets | pattern recognition | POTENTIAL OPTIMALITY | INFORMATION | LINGUISTIC AGGREGATION OPERATORS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ATTRIBUTE DECISION-MAKING | MODELS | RESTRICTED EQUIVALENCE FUNCTIONS | EINSTEIN OPERATIONS | VALUES | Fuzzy sets | Similarity | Similarity measures | Diagnosis | Pattern recognition | Medical diagnosis | Trigonometric functions

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

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

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

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

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 |

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 |