Results 61 to 70 of about 49,816 (162)

Application of Bessel functions [PDF]

, 2016
Cílem této práce je seznámení s Besselovými funkcemi a jejich vlastnostmi a nastínění jejich využití v praxi při zkoumání úlohy matematického modelu kmitání tenké kruhové desky.
Lorenczyk, Jiří
core  

A class of linear viscoelastic models based on Bessel functions

, 2016
In this paper we investigate a general class of linear viscoelastic models whose creep and relaxation memory functions are expressed in Laplace domain by suitable ratios of modified Bessel functions of contiguous order. In time domain these functions are
Colombaro, Ivano, Giusti, Andrea, Mainardi, Francesco   +2 more
core   +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

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

Summed Series Involving ₁F₂ Hypergeometric Functions

Mathematics
Summation of infinite series has played a significant role in a broad range of problems in the physical sciences and is of interest in a purely mathematical context.
Jack C. Straton
doaj   +1 more source

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

Evolutionary Approach to Inequalities of Hermite–Hadamard–Mercer Type for Generalized Wright’s Functions Associated with Computational Evaluation and Their Applications

Fractal and Fractional
The theory of integral inequalities has a wide range of applications in physics and numerical computation, and plays a fundamental role in mathematical analysis.
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

Integral transformation solution of free-space cylindrical vector beams and prediction of modified-Bessel-Gaussian vector beams

, 2007
A unified description of the free-space cylindrical vector beams is presented, which is an integral transformation solution to the vector Helmholtz equation and the transversality condition.
Ashkin, Bandres, Biss, Chun-Fang Li, Davis, Dorn, Enderlein, Greene, Guo, Hall, Jordan, Lax, Li, Martínez-Herrero, Ruschin, Seshadri, Seshadri, Tovar, Tovar, Youngworth, Zhan   +20 more
core   +1 more source

The Fourier–Legendre Series of Bessel Functions of the First Kind and the Summed Series Involving ₁F₂ Hypergeometric Functions That Arise from Them

Axioms
The Bessel function of the first kind JNkx is expanded in a Fourier–Legendre series, as is the modified Bessel function of the first kind INkx. The purpose of these expansions in Legendre polynomials was not an attempt to rival established numerical ...
Jack C. Straton
doaj   +1 more source