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New journal of physics, ISSN 1367-2630, 06/2020, Volume 22, Issue 6, p. 63056
Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion... 
Spectral density function | Computer simulation | Power spectral density | Gaussian distribution | Spectra | Trajectories | Stochastic models | Particle tracking | Brownian movements | Monte Carlo simulation | Probability density functions | Diffusivity
Journal Article
Optics and Laser Technology, ISSN 0030-3992, 06/2020, Volume 126, p. 106124
•We drive the expressions of hypergeometric-Gaussian typed-II (HyGG-II) beams.•The radiation force produced by a focused HyGG-II beam is investigated... 
Hypergeometric-Gaussian type-II beams | Radiation force | Dielectric sphere | PHYSICS, APPLIED | FOCUSED PARTIALLY COHERENT | TRAPPING 2 TYPES | PARTICLES | OPTICS
Journal Article
Journal of modern optics, ISSN 0950-0340, 05/2020, Volume 67, Issue 9, pp. 782 - 798
.... The zeroth-diffraction order is found as (l,n)th mode LG beam. The higher, th diffraction-order beam is described in the radial direction through a product of the Gauss-doughnut function by the double sum of hypergeometric Kummer functions... 
Laguerre-Gaussian laser beam | phase singularity | topological charge | Diffraction | curved fork-shaped grating | Curved beams | Wave diffraction | Focal plane | Mathematical analysis | Gaussian beams (optics) | Exact solutions | Topology | Laser beams
Journal Article
by Cheng, K and Lu, ZZ and Ling, CY and Zhou, ST
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, ISSN 1615-147X, 03/2020, Volume 61, Issue 3, pp. 1187 - 1213
Journal Article
by Hai, GJ and Zhao, TH
JOURNAL OF INEQUALITIES AND APPLICATIONS, ISSN 1029-242X, 03/2020, Volume 2020, Issue 1, pp. 1 - 17
... of some previously known results. MSC: 33C05; 33E05 Keywords: Gaussian hypergeometric function; Generalized Grötzsch ring function; Generalized elliptic integral; Monotonicity... 
MATHEMATICS | MATHEMATICS, APPLIED | Generalized elliptic integral | Monotonicity property | Generalized Grotzsch ring function | LIMIT-CYCLES | ELLIPTIC INTEGRALS | Gaussian hypergeometric function | TRANSFORMATION INEQUALITIES | HYPERGEOMETRIC-FUNCTIONS | Generalized Grötzsch ring function
Journal Article
APPLIED SCIENCES-BASEL, ISSN 2076-3417, 05/2020, Volume 10, Issue 10, p. 3427
Featured Application Optical Communications; Snapshot Polarimetry; Micromachining; Particle Manipulation. Abstract We use a tunable commercial liquid-crystal... 
q-plates | MANIPULATION | PHYSICS, APPLIED | vortex beams | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, MULTIDISCIPLINARY | liquid-crystal retarders | PHASE | MODES | ENGINEERING, MULTIDISCIPLINARY | vector beams | polarization | orbital angular momentum | Gouy phase | Polarization | Dynamic tests | Transformation | Retardance | Propagation | Efficiency | Gaussian beams (optics) | Far fields
Journal Article
Navigation (Washington), ISSN 2161-4296, 2020, Volume 67, Issue 1, pp. 197 - 212
Journal Article
Journal of Modern Optics, ISSN 0950-0340, 12/2019, Volume 66, Issue 21, pp. 2063 - 2074
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 02/2020, Volume 148, Issue 2, pp. 777 - 786
We extend recently obtained sharp bounds for ratios of zero-balanced hypergeometric functions to the general k-balanced case, k\in \mathbb{N... 
MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | MONOTONICITY | complete elliptic integrals | ELLIPTIC INTEGRALS | Gaussian hypergeometric function | generalized complete elliptic integrals
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 480, Issue 1, p. 123377
In this paper, we study monotonicity properties of asymptotic relations for the generalized hypergeometric function Fpp... 
Lauricella hypergeometric function | Gaussian hypergeometric function | Generalized hypergeometric function | Inequality | MATHEMATICS | MATHEMATICS, APPLIED | SERIES | EXPANSIONS
Journal Article
IEEE transactions on information theory, ISSN 1557-9654, 2019, Volume 65, Issue 7, pp. 3999 - 4009
.... As a result, we derive series expansions and integral representations of the entropy for several fundamental distributions, including the Poisson, binomial, beta-binomial, negative binomial... 
Upper bound | Limiting | Gaussian distribution | Entropy | Random variables | discrete probability | Information entropy | Standards | Information theory | binomial distribution | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Journal of modern optics, ISSN 1362-3044, 2019, Volume 66, Issue 20, pp. 1961 - 1972
"We report a detailed study of paraxial Laguerre-Gaussian beams with a zero total angular momentum provided by opposite signs of the vortex phase singularity... 
Poynting vector | Laguerre-Gaussian modes | angular momentum | Electron beams | Ring structures | Circular polarization | Integrals | Gaussian beams (optics) | Angular momentum | Density | Microparticles
Journal Article
Mathematical problems in engineering, ISSN 1563-5147, 2019, Volume 2019, pp. 1 - 14
Journal Article
Applied sciences, ISSN 2076-3417, 2019, Volume 9, Issue 13, p. 2716
Partially coherent sources with non-conventional coherence properties present unusual behaviors during propagation, which have potential application in fields... 
PHYSICS, APPLIED | TRAPPING 2 TYPES | PARTICLES | MATERIALS SCIENCE, MULTIDISCIPLINARY | partial coherence | ATMOSPHERIC-TURBULENCE | GENERATION | statistical optics | CHEMISTRY, MULTIDISCIPLINARY | PROPAGATION | GAUSSIAN-BEAM | Optical trapping | Free-space optical communication | Beams (radiation) | Wavelengths | Propagation | Polar coordinates | Coherence | Eigen values
Journal Article
Journal of biological dynamics, ISSN 1751-3766, 2019, Volume 13, Issue 1, pp. 128 - 147
Explicit expressions in terms of Gaussian Hypergeometric functions are found for a 'balance' manifold that connects the non-zero steady states of a 2-species, non-competitive, scaled Lotka-Volterra... 
Balance simplex | Lotka-Volterra | carrying simplex | Gaussian hypergeometric function | invariant manifold | Lotka–Volterra | CONVEXITY | EQUATIONS | PREDATOR | COMPETITION | MATHEMATICAL & COMPUTATIONAL BIOLOGY | ECOLOGY | CARRYING SIMPLICES | REPLICATOR DYNAMICS | GEOMETRY | Interspecific | lotka–volterra | gaussian hypergeometric function | balance simplex
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 10/2019, Volume 13, Issue 7, pp. 3151 - 3167
In this paper the quantum decomposition associated with the noncommutative analog of Gaussian white noise processes for the relation of the... 
Operator Theory | Secondary 00A00 | Quantum decomposition | Primary 99Z99 | Chakrabarti–Jagannathan deformed quantum oscillator algebra | Analysis | Mathematics, general | Mathematics | White noise operators | Wick ordering | ( p , q )-deformed Fock space | (p, q)-deformed Fock space | Algebra
Journal Article
Optical and quantum electronics, ISSN 1572-817X, 2019, Volume 51, Issue 7, pp. 1 - 14
Journal Article
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