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## Search Articles

2012, Mathematical surveys and monographs, ISBN 9780821890868, Volume no. 184., xi, 171

Book

2011, Graduate studies in mathematics, ISBN 0821853694, Volume 125, xviii, 236

Book

2016, London Mathematical Society lecture note series, ISBN 9781107541481, Volume 431., xv, 225 pages

This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is...

Harmonic functions | Subharmonic functions | Hyperbolic spaces

Harmonic functions | Subharmonic functions | Hyperbolic spaces

Book

2018, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, ISBN 9783319776606, Volume 68, 296

.... Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete...

Dynamics | Banach spaces | Functions, Zeta | Dynamical Systems | Mathematics

Dynamics | Banach spaces | Functions, Zeta | Dynamical Systems | Mathematics

eBook

2019, 1, ISBN 9781138333017, 212

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions...

Advanced Mathematics | Proofs | Functional Analysis | Mathematical Physics | Differential Equations | Number Theory | Trigonometry | Pure Mathematics | Mathematical Analysis | Advanced Topics | Exponential functions | Hyperbola

Advanced Mathematics | Proofs | Functional Analysis | Mathematical Physics | Differential Equations | Number Theory | Trigonometry | Pure Mathematics | Mathematical Analysis | Advanced Topics | Exponential functions | Hyperbola

eBook

01/2019, ISBN 9781138333017, 194

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions...

Dine Functions | STMnetBASE | SCI-TECHnetBASE | MATHnetBASE | Periodic Solutions | Trigonometric Functions | Differential Equations | Pure Mathematics | Advanced Mathematics | Proofs | Functional Analysis | Geometric Functions | Trigonometry | Hyperbolic Functions | Advanced Topics

Dine Functions | STMnetBASE | SCI-TECHnetBASE | MATHnetBASE | Periodic Solutions | Trigonometric Functions | Differential Equations | Pure Mathematics | Advanced Mathematics | Proofs | Functional Analysis | Geometric Functions | Trigonometry | Hyperbolic Functions | Advanced Topics

eBook

Journal of inequalities and applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 12

In this paper, we obtain some new sharp bounds for the exponential functions whose powers involve hyperbolic functions and circular functions, respectively.

Analysis | 33B10 | Inequalities | Mathematics, general | Mathematics | Applications of Mathematics | Hyperbolic functions | Circular functions | 26D15 | 26D05 | Physical Sciences | Mathematics, Applied | Science & Technology | Exponential functions

Analysis | 33B10 | Inequalities | Mathematics, general | Mathematics | Applications of Mathematics | Hyperbolic functions | Circular functions | 26D15 | 26D05 | Physical Sciences | Mathematics, Applied | Science & Technology | Exponential functions

Journal Article

1906, 4Th ed., enl., Mathematical monographs, no. 4

eBook

Geometriae dedicata, ISSN 1572-9168, 09/2018, Volume 201, Issue 1, pp. 227 - 242

We prove that the R. Thompson groups F, T, V have linear divergence functions.

Divergence function | Convex and Discrete Geometry | R. Thompson group | Algebraic Geometry | Mathematics | Hyperbolic Geometry | Projective Geometry | Topology | Asymptotic cones | Differential Geometry | Physical Sciences | Science & Technology | Divergence

Divergence function | Convex and Discrete Geometry | R. Thompson group | Algebraic Geometry | Mathematics | Hyperbolic Geometry | Projective Geometry | Topology | Asymptotic cones | Differential Geometry | Physical Sciences | Science & Technology | Divergence

Journal Article

2016, Volume 662.

Conference Proceeding

2014, Wiley series in probability and statistics, ISBN 1118857283, 250

.... His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families...

Sufficient statistics | Exponential functions | Distribution (Probability theory) | Exponential families (Statistics)

Sufficient statistics | Exponential functions | Distribution (Probability theory) | Exponential families (Statistics)

eBook

Systems & control letters, ISSN 0167-6911, 06/2014, Volume 68, Issue 1, pp. 33 - 42

... through a suitable infinite series of powers of partial derivatives which is summed explicitly in terms of special functions, including Bessel functions and the generalized Marcum Q-functions of the first order...

Infinite-dimensional systems | Backstepping | Partial differential equations | Constant coefficients | Control kernels | Marcum generalized [formula omitted]-function | Hyperbolic systems | Marcum generalized Q-function

Infinite-dimensional systems | Backstepping | Partial differential equations | Constant coefficients | Control kernels | Marcum generalized [formula omitted]-function | Hyperbolic systems | Marcum generalized Q-function

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 12/2018, 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 | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Integral transforms | Umbral calculus | Laguerre polynomials | Operational methods | Airy forms | Trigonometric and hyperbolic functions | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

1984, ISBN 9061962773, Volume 10., iv, 231

Book

2002, ISBN 0521443903, xi, 169

This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials...

Exponential functions | Mathematical physics | Green's functions

Exponential functions | Mathematical physics | Green's functions

Book

Journal of mathematical analysis and applications, ISSN 0022-247X, 01/2014, Volume 409, Issue 1, pp. 521 - 529

The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional p-Laplacian...

Generalized trigonometric functions | Huygens-type inequalities | Generalized hyperbolic functions | Wilker-type inequalities | Cusa–Huygens-type inequalities | Mitrinović–Adamović’s inequality Lazarević’s inequality | Cusa-Huygens-type inequalities | Mitrinović-Adamović's inequality Lazarević's inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Generalized trigonometric functions | Huygens-type inequalities | Generalized hyperbolic functions | Wilker-type inequalities | Cusa–Huygens-type inequalities | Mitrinović–Adamović’s inequality Lazarević’s inequality | Cusa-Huygens-type inequalities | Mitrinović-Adamović's inequality Lazarević's inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Journal of geometry and physics, ISSN 0393-0440, 2007, Volume 57, Issue 9, pp. 1895 - 1940

We introduce and study the partition function
Z
γ
(
M
)
for the cusped hyperbolic 3-manifold
M...

Hyperbolic manifold | Chern–Simons theory | Neumann–Zagier function | Quantum dilogarithm function | Quantum invariant | [formula omitted]-polynomial | Jones polynomial | A-polynomial | Neumann-Zagier function | Chern-Simons theory | Physical Sciences | Mathematics | Physics | Physics, Mathematical | Science & Technology

Hyperbolic manifold | Chern–Simons theory | Neumann–Zagier function | Quantum dilogarithm function | Quantum invariant | [formula omitted]-polynomial | Jones polynomial | A-polynomial | Neumann-Zagier function | Chern-Simons theory | Physical Sciences | Mathematics | Physics | Physics, Mathematical | Science & Technology

Journal Article

Mathematics of control, signals, and systems, ISSN 1435-568X, 01/2012, Volume 24, Issue 1-2, pp. 111 - 134

.... For the stabilized systems, the classical technique of construction of Lyapunov functions provides a function which is a weak Lyapunov function in some cases, but is not...

Strictification | Systems Theory, Control | Control, Robotics, Mechatronics | Hyperbolic PDE | System of balance laws | Communications Engineering, Networks | Mathematics | Lyapunov function | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Electrical & Electronic | Automation & Control Systems | Science & Technology | Laws, regulations and rules | Control systems | Differential equations | Boundary conditions | Mathematical functions | Asymptotic methods | Lyapunov functions | Stability | Asymptotic properties | Laws | Mathematical analysis | International Space Station | Robustness | Hyperbolic systems | Optimization and Control | Engineering Sciences | Automatic

Strictification | Systems Theory, Control | Control, Robotics, Mechatronics | Hyperbolic PDE | System of balance laws | Communications Engineering, Networks | Mathematics | Lyapunov function | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Electrical & Electronic | Automation & Control Systems | Science & Technology | Laws, regulations and rules | Control systems | Differential equations | Boundary conditions | Mathematical functions | Asymptotic methods | Lyapunov functions | Stability | Asymptotic properties | Laws | Mathematical analysis | International Space Station | Robustness | Hyperbolic systems | Optimization and Control | Engineering Sciences | Automatic

Journal Article

1981, Pure and applied mathematics, ISBN 0471764752, xiv, 553

Book

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