Studies fundamental Bessel functions for \mathrm{GL}_n(\mathbb F) arising from the Voronoi summation formula for any rank n and field \mathbb F = \mathbb R or \mathbb C, with focus on developing their analytic and asymptotic theory....Loe edasi...
(Ilmumisaeg: 20-Apr-2020, Paperback / softback, Kirjastus: De Gruyter, ISBN-13: 9783110681574)
This book examines mathematical operations related to the Bessel function and other special functions. Emphasis is on Bessel and related functions with fixed argument and variable order. Part 1 explains theory. Part 2 reports numerical results of...Loe edasi...
(Ilmumisaeg: 20-Apr-2020, Paperback / softback, Kirjastus: De Gruyter, ISBN-13: 9783110681635)
Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied extensively because of their countless applications, but the vast majority of available literature is devoted to the...Loe edasi...
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and T...Loe edasi...
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coeffi...Loe edasi...
Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how its practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers...Loe edasi...
(Ilmumisaeg: 30-Oct-2017, Hardback, Kirjastus: Morgan & Claypool Publishers, ISBN-13: 9781643279176)
Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how its practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers...Loe edasi...
(Ilmumisaeg: 18-Oct-2016, Hardback, Kirjastus: World Scientific Europe Ltd, ISBN-13: 9781786340887)
Bessel and Mittag–Leffler functions are prominent within mathematical and scientific fields due to increasing interest in non-conventional models within applied mathematics. Since the analytical solutions of many differential and integral equations o...Loe edasi...
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Luke explains how researchers can evaluate definite and indefinite integrals involving Bessel functions, which is required in many applied problems. Other books on integrals involving Bessel functions mostly discuss definite integrals, and though he...Loe edasi...
Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. 1971 edition. Nearly 200 proble...Loe edasi...
(Ilmumisaeg: 26-May-2010, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642122293)
In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these...Loe edasi...
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems....Loe edasi...
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and T...Loe edasi...
(Ilmumisaeg: 07-Mar-2001, Hardback, Kirjastus: Taylor & Francis Ltd, ISBN-13: 9789056993290)
Treats transmutation operators associated with the Bessel operator and explores many of their properties, offering application illustrations and problems. Considers the Riemann-Liouville and the Weyl integral transforms associated with the Bessel ope...Loe edasi...
The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the se...Loe edasi...