Published January 31, 2022 | Version v1
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SOLUTIONS TO A SYSTEM OF HYPERGEOMETRIC TYPE DIFFERENTIAL EQUATIONS IN PARTIAL DERIVATIVES OF THE THIRD ORDER AND ITS INTEGRAL REPRESENTATIONS - РЕШЕНИЯ СИСТЕМЫ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ ГИПЕРГЕОМЕТРИЧЕСКОГО ТИПА В ЧАСТНЫХ ПРОИЗВОДНЫХ ТРЕТЬЕГО ПОРЯДКА И ЕГО ИНТЕГРАЛЬНЫЕ ПРЕДСТАВЛЕНИЯ

Creators

  • 1. Institute of Mathematics named after V.I. Romanovsky Academy of Sciences of the Republic of Uzbekistan
  • 2. Namangan State University

Description

This article studies the properties of the Campe de Feriet function of two arguments of the third order. Integral representations and a system of partial differential equations of hypergeometric type are proved. It is indicated that the resulting system of hypergeometric type has nine linearly independent solutions at the origin.

В этой статье изучаются свойства функции Кампе де Фериет от двух аргументов третьего порядка . Доказаны интегральные представления и система дифференциальных уравнений в частных производных гипергеометрического типа. Указано, что полученная система гипергеометрического типа в начале координат имеет девять линейно независимые решения.

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References

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