Authors:
Maged G. Bin-Saad Department of Mathematics, Aden University, Aden, Yemen

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Tuhtasin G. Ergashev National Research University “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”, 39, Kari-Niyazi Street, Tashkent, 100000, Uzbekistan

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Dildora A. Ergasheva National Research University “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”, 39, Kari-Niyazi Street, Tashkent, 100000, Uzbekistan

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Anvarjon Hasanov Institute of Mathematics, 4 University Street, Tashkent, Uzbekistan
Institute of Mechanics and Seismic Resistance of Structures, Tashkent, Uzbekistan

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We define the order of the double hypergeometric series, investigate the properties of the new confluent Kampé de Fériet series, and build systems of partial differential equations that satisfy the new Kampé de Fériet series. We solve the Cauchy problem for a degenerate hyperbolic equation of the second kind with a spectral parameter using the high-order Kampé de Fériet series. Thanks to the properties of the introduced Kampé de Fériet series, it is possible to obtain a solution to the problem in explicit forms.

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Editor in Chief: László TÓTH (University of Pécs)

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Mathematica Pannonica
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ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)