Series of Bessel and Kummer-Type Functions

• Κύριοι συγγραφείς: Baricz, Árpád (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Jankov Maširević, Dragana (http://id.loc.gov/vocabulary/relators/aut), Pogány, Tibor K. (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Έκδοση: 1st ed. 2017.
• Σειρά: Lecture Notes in Mathematics, 2207
• Θέματα: Special 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.
• Φυσική περιγραφή: XIX, 201 p. online resource.
• ISBN: 9783319743509
• ISSN: 0075-8434 ;
• DOI: 10.1007/978-3-319-74350-9

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.