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Integral Transforms and Special Functions Volume 23, 2012 - Issue 2
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Original Articles

The moments of the bivariate Mellin–Picard-type kernels and applications

Carlo Bardaro Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123, Perugia, ItalyCorrespondence[email protected]
&
Ilaria Mantellini Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123, Perugia, Italy
Pages 135-148 | Received 03 Dec 2010, Accepted 16 Feb 2011, Published online: 07 Apr 2011
 
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Abstract

In this paper, we study some relations concerning the algebraic and absolute moments of the bivariate Mellin–Picard kernels, and we apply the results to obtain some asymptotic formulae for the pointwise convergence. Also, quantitative estimates are given.

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