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Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order

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Abstract

In investigation of boundary-value problems for certain partial differential equations arising in applied mathematics, we often need to study the solution of a system of partial differential equations satisfied by hypergeometric functions and find explicit linearly independent solutions for the system. In this investigation, we construct special solutions for a certain class of degenerating differential equations of parabolic type of a high order. These special solutions are expressed in terms of hypergeometric functions of one variable.

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Authors and Affiliations

  1. Institute of Mathematics, 700170, Tashkent, Uzbekistan

    A. Hasanov

  2. Department of Mathematics, Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

    M. Ruzhansky

Authors
  1. A. Hasanov
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  2. M. Ruzhansky
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Correspondence to A. Hasanov or M. Ruzhansky.

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(Submitted by S. A. Grigoryan)

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Hasanov, A., Ruzhansky, M. Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order. Lobachevskii J Math 41, 27–31 (2020). https://doi.org/10.1134/S1995080220010059

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  • DOI: https://doi.org/10.1134/S1995080220010059

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