Zeros of Bessel functions: monotonicity, concavity, inequalities

Zeros of Bessel functions: monotonicity, concavity, inequalities

We present a survey of the most important inequalities and monotonicity, concavity (convexity) results of the zeros of Bessel functions. The results refer to the definition Jνκ of the zeros of Cν (x) = Jν (x) cosα −Yν (x) sinα, formu...

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Bibliographic Details
Main Authors: Andrea Laforgia, Pierpaolo Natalini
Format: Article
Language:English
Published: Università degli Studi di Catania 2007-12-01
Series:Le Matematiche
Subjects:
Sturm comparison theorem
Zeros of Bessel functions
Inequalities
Monotonicity
Concavity (convexity) properties
Watson formula
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/39

Internet

http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/39

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