2012, Mathematical surveys and monographs, ISBN 9780821889817, Volume 183, vii, 317

Book

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, ISSN 0294-1449, 01/1994, Volume 11, Issue 1, pp. 91 - 133

Given a function u:Ω⊆_ℝ →ℝ, we introduce a notion of total variation of u depending on a possibly discontinuous Finsler metric. We prove some integral...

BV functions | semicontinuity | relaxation theory | MATHEMATICS, APPLIED | BV FUNCTIONS | INTEGRAL-REPRESENTATION | PERTURBATIONS | RELAXATION THEORY | SEMICONTINUITY

BV functions | semicontinuity | relaxation theory | MATHEMATICS, APPLIED | BV FUNCTIONS | INTEGRAL-REPRESENTATION | PERTURBATIONS | RELAXATION THEORY | SEMICONTINUITY

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 01/2018, Volume 457, Issue 2, pp. 1370 - 1375

In this paper, we show how under the continuum hypothesis one can obtain an integral representation for elements of the topological dual of the space of...

Bounded variation | Dual space | Integral representation | MATHEMATICS | MATHEMATICS, APPLIED

Bounded variation | Dual space | Integral representation | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 10/2016, Volume 284, Issue 1-2, pp. 575 - 593

We introduce a division formula on a possibly singular projective subvariety X of complex projective space , which, e.g., provides explicit representations of...

MATHEMATICS | MEMBERSHIP | INTEGRAL-REPRESENTATION | Matematik | Mathematics

MATHEMATICS | MEMBERSHIP | INTEGRAL-REPRESENTATION | Matematik | Mathematics

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2019, Volume 472, Issue 1, pp. 1189 - 1219

In this article, a characterization of the class of Herglotz–Nevanlinna functions in several variables is given in terms of an integral representation. The...

Integral representations | Several complex variables | Herglotz–Nevanlinna functions | MATHEMATICS | MATHEMATICS, APPLIED | Herglotz-Nevanlinna functions

Integral representations | Several complex variables | Herglotz–Nevanlinna functions | MATHEMATICS | MATHEMATICS, APPLIED | Herglotz-Nevanlinna functions

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 03/2020, Volume 369, p. 124806

In this paper, we consider the Gauss quadrature formulae corresponding to some modifications of each of the four Chebyshev weights, considered by Gautschi and...

Chebyshev weight functions | error bound | Gauss quadrature formulae | remainder term for analytic functions | contour integral representation | MATHEMATICS, APPLIED | REMAINDER TERM

Chebyshev weight functions | error bound | Gauss quadrature formulae | remainder term for analytic functions | contour integral representation | MATHEMATICS, APPLIED | REMAINDER TERM

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 01/2016, Volume 260, Issue 2, pp. 923 - 936

In this article, motivated by the classic Hadamard factorization theorem about an entire function of finite order in the complex plane, we firstly prove that a...

Positive part | Modified Poisson kernel | Integral representation | MATHEMATICS

Positive part | Modified Poisson kernel | Integral representation | MATHEMATICS

Journal Article

Stochastic Processes and their Applications, ISSN 0304-4149, 01/2017, Volume 127, Issue 1, pp. 20 - 36

We show that small ball estimates together with Hölder continuity assumption allow to obtain new representation results in models with long memory. In order to...

Generalized Lebesgue–Stieltjes integral | Small ball estimate | Integral representation | Fractional Brownian motion | Quasi-helix | RESPECT | INEQUALITIES | Generalized Lebesgue-Stieltjes integral | STATISTICS & PROBABILITY | INTEGRAL-REPRESENTATION | RANDOM-VARIABLES

Generalized Lebesgue–Stieltjes integral | Small ball estimate | Integral representation | Fractional Brownian motion | Quasi-helix | RESPECT | INEQUALITIES | Generalized Lebesgue-Stieltjes integral | STATISTICS & PROBABILITY | INTEGRAL-REPRESENTATION | RANDOM-VARIABLES

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2018, Volume 336, pp. 54 - 62

In the paper, by induction and recursively, the author proves that the generating function of multivariate logarithmic polynomials and its reciprocal are a...

Multivariate logarithmic polynomial | Completely monotonic function | Bernstein function | Generating function | Integral representation | Lévy-Khintchine representation | MATHEMATICS, APPLIED | Levy-Khintchine representation

Multivariate logarithmic polynomial | Completely monotonic function | Bernstein function | Generating function | Integral representation | Lévy-Khintchine representation | MATHEMATICS, APPLIED | Levy-Khintchine representation

Journal Article

Mathematical Inequalities and Applications, ISSN 1331-4343, 10/2017, Volume 20, Issue 4, pp. 973 - 986

Bymaking use of the familiar Mathieu series and its generalizations, the authors derive a number of new integral representations and present a systematic study...

Characteristic function | Completely monotonic function | Log-convex function | Mathieu series | Probability distributions | Hurwitz-Lerch zeta function | Integral representations | Turán type inequality | Mittag-Leffler function | Inequality | LERCH ZETA-FUNCTIONS | integral representations | MATHEMATICS | inequality | probability distributions | Turan type inequality | INTEGRAL-REPRESENTATIONS | characteristic function | completely monotonic function | log-convex function

Characteristic function | Completely monotonic function | Log-convex function | Mathieu series | Probability distributions | Hurwitz-Lerch zeta function | Integral representations | Turán type inequality | Mittag-Leffler function | Inequality | LERCH ZETA-FUNCTIONS | integral representations | MATHEMATICS | inequality | probability distributions | Turan type inequality | INTEGRAL-REPRESENTATIONS | characteristic function | completely monotonic function | log-convex function

Journal Article

Optics Express, ISSN 1094-4087, 2006, Volume 14, Issue 23, pp. 11277 - 11291

We present a fast calculation of the electromagnetic field near the focus of an objective with a high numerical aperture ( NA). Instead of direct integration,...

IMAGE FIELD | WAVES | OPTICAL SYSTEMS | ELECTROMAGNETIC DIFFRACTION | INTEGRAL-REPRESENTATION | OPTICS | FRESNEL-NUMBER

IMAGE FIELD | WAVES | OPTICAL SYSTEMS | ELECTROMAGNETIC DIFFRACTION | INTEGRAL-REPRESENTATION | OPTICS | FRESNEL-NUMBER

Journal Article

Russian Mathematics, ISSN 1066-369X, 05/2018, Volume 62, Issue 5, pp. 34 - 43

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.3103/S1066369X18050067 We obtain...

Entire function | Integral representation | Plana formula

Entire function | Integral representation | Plana formula

Journal Article

ELECTRONIC COMMUNICATIONS IN PROBABILITY, ISSN 1083-589X, 2019, Volume 24

We solve optimal stopping problems for an oscillating Brownian motion, i.e. a diffusion with positive piecewise constant volatility changing at the point x =...

STATISTICS & PROBABILITY | integral representation of excessive functions | excessive function

STATISTICS & PROBABILITY | integral representation of excessive functions | excessive function

Journal Article

Journal of Siberian Federal University - Mathematics and Physics, ISSN 1997-1397, 2018, Volume 11, Issue 3, pp. 364 - 369

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 01/2020, Volume 268, Issue 2, pp. 738 - 783

We consider a class of parabolic equations with critical electromagnetic potentials, for which we obtain a classification of local asymptotics, unique...

Parabolic equations | Singular electromagnetic potentials | Unique continuation | Integral representation | DIFFERENTIAL EQUATIONS | MATHEMATICS | CARLEMAN INEQUALITIES | DECAY | THEOREM | BEHAVIOR | SCHRODINGER

Parabolic equations | Singular electromagnetic potentials | Unique continuation | Integral representation | DIFFERENTIAL EQUATIONS | MATHEMATICS | CARLEMAN INEQUALITIES | DECAY | THEOREM | BEHAVIOR | SCHRODINGER

Journal Article

16.
Full Text
Applications of the operator H ( α , β ) to the Humbert double hypergeometric functions

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 61, Issue 3, pp. 663 - 671

By making use of some techniques based upon certain new inverse pairs of symbolic operators, the authors investigate several decomposition formulas associated...

Decomposition formulas | Integral representations | Mellin–Barnes contour integral representations | Kampé de Fériet functions | Multiple hypergeometric functions | Humbert hypergeometric functions | Inverse pairs of symbolic operators | Generalized hypergeometric functions | Kamp de Friet functions | MellinBarnes contour integral representations | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | LAURICELLA FUNCTION F-A((R)) | Mellin-Barnes contour integral representations | Kampe de Feriet functions | FORMULAS | Hypergeometric functions | Operators | Mathematical analysis | Symbolic operators | Decomposition | Inverse | Mathematical models | Representations

Decomposition formulas | Integral representations | Mellin–Barnes contour integral representations | Kampé de Fériet functions | Multiple hypergeometric functions | Humbert hypergeometric functions | Inverse pairs of symbolic operators | Generalized hypergeometric functions | Kamp de Friet functions | MellinBarnes contour integral representations | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | LAURICELLA FUNCTION F-A((R)) | Mellin-Barnes contour integral representations | Kampe de Feriet functions | FORMULAS | Hypergeometric functions | Operators | Mathematical analysis | Symbolic operators | Decomposition | Inverse | Mathematical models | Representations

Journal Article

Journal of Algebra, ISSN 0021-8693, 07/2019, Volume 530, pp. 368 - 401

Let Dn=〈σ,τ:σn=τ2=1,τστ−1=σ−1〉 be the dihedral group of order 2n where n≥2. Let 1→R→F→εDn→1 be the free presentation of Dn where F=〈s1,s2〉 is the free group of...

Free presentation | Rationality problem | Integral representation | Algebraic torus | Relation module | MATHEMATICS

Free presentation | Rationality problem | Integral representation | Algebraic torus | Relation module | MATHEMATICS

Journal Article

Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 10/2019, Volume 13, Issue 2, pp. 518 - 541

In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev...

classical hypergeometric function | GAMMA | MATHEMATICS, APPLIED | generating function | binomial inversion formula | COMPLETE MONOTONICITY | triangular matrix | inverse matrix | integral representation | POLYNOMIALS | MATHEMATICS | explicit formula | identity | Catalan number | Bell polynomial of the second kind | INTEGRAL-REPRESENTATIONS | Chebyshev polynomials of the second kind | FORMULAS

classical hypergeometric function | GAMMA | MATHEMATICS, APPLIED | generating function | binomial inversion formula | COMPLETE MONOTONICITY | triangular matrix | inverse matrix | integral representation | POLYNOMIALS | MATHEMATICS | explicit formula | identity | Catalan number | Bell polynomial of the second kind | INTEGRAL-REPRESENTATIONS | Chebyshev polynomials of the second kind | FORMULAS

Journal Article

Journal of Elasticity, ISSN 0374-3535, 10/2018, Volume 133, Issue 1, pp. 1 - 35

In this paper we apply both the procedure of dimension reduction and the incorporation of structured deformations to a three-dimensional continuum in the form...

Dimension reduction | Relaxation | 49J45 | 74Kxx | 74A60 | Structured deformations | Integral representation of functionals | 74G65 | Classical Mechanics | Automotive Engineering | Physics | Explicit formulas | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | VECTOR | Interfacial energy | Reduction | Deformation

Dimension reduction | Relaxation | 49J45 | 74Kxx | 74A60 | Structured deformations | Integral representation of functionals | 74G65 | Classical Mechanics | Automotive Engineering | Physics | Explicit formulas | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | VECTOR | Interfacial energy | Reduction | Deformation

Journal Article

Journal of Algebra, ISSN 0021-8693, 07/2014, Volume 410, pp. 421 - 459

In the present article we show that the Zp[ζpf−1]-order Zp[ζpf−1]SL2(pf) can be recognized among those orders whose reduction modulo p is isomorphic to...

Integral representations | Orders | Derived equivalences | MATHEMATICS | QUIVER

Integral representations | Orders | Derived equivalences | MATHEMATICS | QUIVER

Journal Article

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