• In Section 1, we present a number of classical results concerning the Generalized Gamma Convolution ( : GGC) variables, their Wiener-Gamma representations, and relation with the Dirichlet processes. • To a GGC variable, one may associate a unique Thorin measure. Let G a positive r.v. and Γt(G) ( resp. Γt(1/G) ) the Generalized Gamma Convolution with Thorin measure t-times the law of G (resp. ...

Rights: © 2006 American Physical Society (APS). This is the accepted version of the following article: Jiang, Hua & Brown, David P. & Nasibulin, Albert G. & Kauppinen, Esko I. 2006. Robust Bessel-function-based method for determination of the (n, m) indices of single-walled carbon nanotubes by electron diffraction. Physical Review B. Volume 74, Issue 3. 035427/1-8. ISSN 1098-0121 (printed). DOI...

Reference G. Eason, B. Noble, and I. N. Sneddon, “On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,” Phil. Trans. Roy. Soc. London, vol. A247, pp. 529–551, April 1955. (references) J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73. I. S. Jacobs and C. P. Bean, “Fine particles, thin films and exchange...

In this paper some Turán type inequalities for the general Bessel function, monotonicity and bounds for its logarithmic derivative are derived. Moreover we find the series representation and the relative extrema of the Turánian of general Bessel functions. The key tools in the proofs are the recurrence relations together with some asymptotic relations for Bessel functions.

h thii paper, an asymptotic expression of the incomplete gamma matrix function and integral expressions of Bessel matrix functions are given. Results are applied to study the asymptotic behavior of the modified Bessel function. @ 2003 Elsevier Science Ltd. All rights reserved. Keywords-Bessel function, Incomplete gamma function, Asymptotics.

We demonstrate the generation of Bessel beams using an acousto-optic array based on a liquid filled cavity surrounded by a cylindrical multi-element ultrasound transducer array. Conversion of a Gaussian laser mode into a Bessel beam with tunable order and position is shown. Also higher-order Bessel beams up to the fourth order are successfully generated with experimental results very closely ma...

In this paper we introduce controlled *-g-frame and *-g-multipliers in Hilbert C*-modules and investigate the properties. We demonstrate that any controlled *-g-frame is equivalent to a *-g-frame and define multipliers for (C,C')- controlled*-g-frames .

Two representations of the extended gamma functions Γ 2,0 0,2 [(b, x)] are proved. These representations are exploited to find a transformation relation between two Fox's H-functions. These results are used to solve Fox's H-function in terms of Meijer's G-function for certain values of the parameters. A closed form representation of the kernel of the Bessel type integral transform is also proved.

This paper is part of the collection initiated in [12], aiming to evaluate the entries in [8] and to provide some context. This table contains a large variety of entries involving the Bessel functions. The goal of the current work is to evaluate some entries in [8] where the integrand is an elementary function and the result involves the so-called modified Bessel function of the second kind, de...