REAL

On Kapteyn-Kummer series integral form

Pogány, Tibor K. and Baricz, Árpád and Szakál, Anikó (2016) On Kapteyn-Kummer series integral form. In: 11th IEEE International Symposium on Applied Computational Intelligence and Informatics, May 12-14, 2016, Temesvár, Romania.

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Abstract

In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer’s M (or confluent hypergeometric 1F1) functions. These kind of series unify in natural way the similar fashion results for Neumann–, Schlomilch– and Kapteyn–Bessel series recently established by Pogany, Suli, Baricz and Jankov Masirevic.

Item Type: Conference or Workshop Item (Paper)
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Arpad Baricz
Date Deposited: 01 Oct 2016 13:08
Last Modified: 01 Oct 2016 13:08
URI: http://real.mtak.hu/id/eprint/40691

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