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On the zeros of Bessel functions.- III
S. Ahmed,Francesco Calogero +1 more
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This article is published in Lettere Al Nuovo Cimento.The article was published on 1978-03-01. It has received 14 citations till now. The article focuses on the topics: Bessel polynomials & Struve function.read more
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Properties of the zeros of the classical polynomials and of the Bbessel functions
TL;DR: Many algebraic equations satisfied by the zeros of the classical polynomials and of the Bessel functions are reported in this article, some of which are collected from recent papers; several of them are new; most of them display remarkable diophantine features.
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The Law of the Maximum of a Bessel Bridge
Jim Pitman,Marc Yor +1 more
TL;DR: In this paper, a series formula for the maximum of a standard Bessel bridge of dimension 1,2, \ldots is shown to be valid for all real $d > 0.
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On the zeros of aCv(x) + xC′v(x), where Cv(x) is a cylinder function
TL;DR: Lower and upper bounds for the kth positive zero of the general cylinder function were established in this article, where the first positive zero was obtained for the cylinder function ck(a, v, α) ≡ j′v,1.
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On the Green's function for the Helmholtz operator in an impedance circular cylindrical waveguide
TL;DR: This paper addresses the problem of finding a series representation for the Green's function of the Helmholtz operator in an infinite circular cylindrical waveguide with impedance boundary condition by resorts to the Fourier transform, complex analysis techniques and the limiting absorption principle.
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Ordering relations between the zeros of miscellaneous bessel functions
TL;DR: In this article, it was shown that the zeros of the Bessel function are the same as those of the derivative of Jν(z) for real positive zeros.
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