Series of Bessel and Kummer-Type Functions

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 clos...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Baricz, Árpád.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Series of Bessel and Kummer-Type Functions  |h [electronic resource] /  |c by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány. 
250 |a 1st ed. 2017. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XIX, 201 p.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2207 
505 0 |a 1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea. 
520 |a 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. 
650 0 |a Special functions. 
650 0 |a Sequences (Mathematics). 
650 0 |a Functions of real variables. 
650 0 |a Functions of complex variables. 
650 0 |a Differential equations. 
650 0 |a Astronomy. 
650 0 |a Astrophysics. 
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650 2 4 |a Sequences, Series, Summability.  |0 http://scigraph.springernature.com/things/product-market-codes/M1218X 
650 2 4 |a Real Functions.  |0 http://scigraph.springernature.com/things/product-market-codes/M12171 
650 2 4 |a Functions of a Complex Variable.  |0 http://scigraph.springernature.com/things/product-market-codes/M12074 
650 2 4 |a Ordinary Differential Equations.  |0 http://scigraph.springernature.com/things/product-market-codes/M12147 
650 2 4 |a Astronomy, Astrophysics and Cosmology.  |0 http://scigraph.springernature.com/things/product-market-codes/P22006 
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700 1 |a Pogány, Tibor K.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783319743493 
776 0 8 |i Printed edition:  |z 9783319743516 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2207 
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