Zeros of Bessel functions: monotonicity, concavity, inequalities

Le Matematiche

Pierpaolo Natalini¹  Andrea Laforgia¹ 

[1] Roma Tre University;

关键词: Sturm comparison theorem;    Zeros of Bessel functions;    Inequalities;    Monotonicity;    Concavity (convexity) properties;    Watson formula;   

DOI  :  

来源: DOAJ

【 摘 要 】

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, formulated in [6], where κ is a continuous variable. Sometimes, also the Sturm comparison theorem is an important tool of our results.

【 授权许可】

Unknown