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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio


IMPACT FACTOR 2018: 0.551

CiteScore 2018: 0.52

SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711

Mathematical Citation Quotient (MCQ) 2018: 0.27

Online
ISSN
1572-9176
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Volume 18, Issue 3

Issues

On Gegenbauer transformation on the half-line

Elman J. Ibrahimov
Published Online: 2011-05-20 | DOI: https://doi.org/10.1515/gmj.2011.0024

Abstract

In this paper, the Gegenbauer transformation is constructed and some of its properties similar to the Fourier transformation are proved. An equation of Parseval–Plancherel type is obtained. The inversion theorem for the Gegenbauer transformation is proved.

Keywords.: Gegenbauer differential operator; generalized shift operator; Gegenbauer transformation

About the article

Received: 2009-08-30

Revised: 2010-05-24

Published Online: 2011-05-20

Published in Print: 2011-09-01


Citation Information: Georgian Mathematical Journal, Volume 18, Issue 3, Pages 497–515, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj.2011.0024.

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