Results 61 to 70 of about 54,823 (167)

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow-Band Stochastic Parametric Excitations

Complexity, 2019
To improve energy harvesting performance, this paper investigates the resonance mechanism of nonlinear vibrational multistable energy harvesters under narrow-band stochastic parametric excitations.
Dongmei Huang, Shengxi Zhou, Zhichun Yang   +2 more
doaj   +1 more source

Cauchy problem for a parabolic equation with Bessel operator and Riemann-Liouville partial derivative

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In this paper Cauchy problem for a parabolic equation with Bessel operator and with Riemann-Liouville partial derivative is considered. The representation of the solution is obtained in terms of integral transform with Wright function in the kernel.
Fatima G Khushtova
doaj   +1 more source

Inequalities for integrals of modified Bessel functions and expressions involving them

, 2018
Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases, we show that we obtain the best possible constant or that our bounds are tight in certain limits.
Gaunt, Robert E.
core   +1 more source

Some special functions and cylindrical diffusion equation on α-time scale

Demonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu, Tuncer Zehra, Gergün Seçil, Yantir Ahmet   +3 more
doaj   +1 more source

On the evaluation of a certain class of Feynman diagrams in x-space: Sunrise-type topologies at any loop order

, 2005
We review recently developed new powerful techniques to compute a class of Feynman diagrams at any loop order, known as sunrise-type diagrams. These sunrise-type topologies have many important applications in many different fields of physics and we ...
A.A. Pivovarov, Anikin, Appelquist, Avdeev, Avdeev, Bagan, Baikov, Balitsky, Balk, Bartels, Bashir, Bauberger, Berends, Bogoliubov, Braun, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Caffo, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Coleman, Cutkosky, Cvetič, Davydychev, Delbourgo, Dudas, Fleischer, Gasser, Gasser, Generalis, Gilkey, Gorbunov, Gradshteyn, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Gross, Gusynin, Hepp, Hoang, Hussain, Ioffe, Isgur, Itzykson, J.G. Körner, Jackiw, Jackiw, Kalinowski, Kataev, Kazakov, Krasnikov, Krasnikov, Krasnikov, Krasnikov, Krasulin, Kreimer, Kulagin, Körner, Körner, Körner, Kühn, Kühn, Laporta, Larin, Lipatov, Lipatov, Lowenstein, Mansfield, Mastrolia, Meijer, Mendels, Mikhailov, Narison, Ogreid, Ovchinnikov, Ovchinnikov, Penin, Penin, Pich, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Platter, Polyakov, Post, Post, Prudnikov, Rajantie, S. Groote, Schwinger, Slavnov, Smirnov, Steinhauser, Terrano, Tkachov, Tkachov, Weinberg, Wetzorke, Witten, ’t Hooft, ’t Hooft, ’t Hooft, ’t Hooft   +128 more
core   +1 more source

On a Neumann-type series for modified Bessel functions of the first kind

Proceedings of the American Mathematical Society, 2017
In this paper, we are interested in a Neumann-type series for modified Bessel functions of the first kind which arises in the study of Dunkl operators associated with dihedral groups and as an instance of the Laguerre semigroup constructed by Ben Said-Kobayashi-Orsted. We first revisit the particular case corresponding to the group of square-preserving
Deleaval, Luc, Demni, Nizar
openaire   +5 more sources

Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights

, 2007
We study a model of $n$ non-intersecting squared Bessel processes in the confluent case: all paths start at time $t = 0$ at the same positive value $x = a$, remain positive, and are conditioned to end at time $t = T$ at $x = 0$.
A. Altland, A. B. J. Kuijlaars, A. Borodin, A. Borodin, A. Göing-Jaeschke, A. Martínez-Finkelshtein, A. Okounkov, A. Soshnikov, A.B.J. Kuijlaars, A.B.J. Kuijlaars, A.I. Aptekarev, A.I. Aptekarev, A.S. Fokas, C. Tracy, C. Tracy, E. Coussement, E. Coussement, E. Daems, E. Daems, E. Platen, F. Wielonsky, J. Baik, J.B. Hough, K. Johansson, K.T.-R. McLaughlin, M. Abramowitz, M. Katori, M. Katori, M. Katori, P. Deift, P. Deift, P. Deift, P. Deift, P. Desrosiers, P.M. Bleher, P.M. Bleher, P.M. Bleher, S. Karlin, T. Claeys, T. Claeys, T. Claeys, V. Lysov, W. König, W. König   +43 more
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Non-diffracting chirped Bessel waves in optical antiguides

, 2015
Chirped Bessel waves are introduced as stable (non-diffracting) solutions of the paraxial wave equation in optical antiguides with a power-law radial variation in their index of refraction. Through numerical simulations, we investigate the propagation of
Chremmos, Ioannis, Giamalaki, Melpomeni
core   +1 more source

Analysis of ( P , m ) $(P,\mathrm{m})$ -superquadratic function and related fractional integral inequalities with applications

Journal of Inequalities and Applications
In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fractional versions ...
Dawood Khan, Saad Ihsan Butt, Youngsoo Seol   +2 more
doaj   +1 more source

On Parameter Differentiation for Integral Representations of Associated Legendre Functions

Symmetry, Integrability and Geometry: Methods and Applications, 2011
For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters.
Howard S. Cohl
doaj   +1 more source