2014/02/28 by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány +1 · 17 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Bessel function #Bessel polynomials #Bessel process #Cylindrical harmonics #Elementary proof #Gegenbauer polynomials #Identity (music) #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials #Pure mathematics #Struve function #math.CA #msc:33C10
paper · pdf · doi:10.1016/j.jmaa.2014.08.014
published in Journal of Mathematical Analysis and Applications 422(1), 27-36 (Elsevier BV) · 8 pages
arxiv created 2014/03/04 · openalex publication_date 2014/08/19 · arxiv updated 2014/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary approach we present a new identity for the zeros of Bessel functions of the first kind, which in particular reduces to some other new identities. We also show that our method can be applied for the zeros of other special functions, like Struve functions of the first kind, and modified Bessel functions of the second kind.