M. Bin-Saad, T. Ergashev, Dildora A. Ergasheva, A. Hasanov
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引用次数: 1
摘要
定义了二重超几何级数的阶，研究了新的合流kampaine de fsamriet级数的性质，建立了满足新kampaine de fsamriet级数的偏微分方程组。利用高阶kampaud de fsamriet级数，求解了一类带谱参数的退化第二类双曲方程的Cauchy问题。由于所介绍的kampedefsamriet系列的性质，有可能以显式形式获得问题的解决方案。
Confluent Kampé de Fériet Series Arising in the Solutions of Cauchy Problem for the Degenerate Hyperbolic Equation of the Second Kind with the Spectral Parameter
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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