03954nam 22007575 450 991027975520332120200704141551.03-319-74350-310.1007/978-3-319-74350-9(CKB)4100000002892321(DE-He213)978-3-319-74350-9(MiAaPQ)EBC5578722(PPN)225550520(EXLCZ)99410000000289232120180324d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSeries of Bessel and Kummer-Type Functions /by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XIX, 201 p.) Lecture Notes in Mathematics,0075-8434 ;22073-319-74349-X 1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea.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 coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.Lecture Notes in Mathematics,0075-8434 ;2207Special functionsSequences (Mathematics)Functions of real variablesFunctions of complex variablesDifferential equationsAstronomyAstrophysicsSpecial Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M1221XSequences, Series, Summabilityhttps://scigraph.springernature.com/ontologies/product-market-codes/M1218XReal Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Astronomy, Astrophysics and Cosmologyhttps://scigraph.springernature.com/ontologies/product-market-codes/P22006Special functions.Sequences (Mathematics).Functions of real variables.Functions of complex variables.Differential equations.Astronomy.Astrophysics.Special Functions.Sequences, Series, Summability.Real Functions.Functions of a Complex Variable.Ordinary Differential Equations.Astronomy, Astrophysics and Cosmology.515.53Baricz Árpádauthttp://id.loc.gov/vocabulary/relators/aut478939Jankov Maširević Draganaauthttp://id.loc.gov/vocabulary/relators/autPogány Tibor Kauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910279755203321Series of Bessel and Kummer-type functions1749802UNINA