Article

Fundamental solutions of a class of degenerate elliptic equation

Zharasbek BaishemirovInstitute of Information and Computational Technologies Almaty 050010 KazakhstanAbdumauvlen BerdyshevInstitute of Information and Computational Technologies Almaty 050010 KazakhstanAnvar HasanovInstitute of Mathematics Uzbek Academy of Sciences Tashkent 100170 Uzbekistan

Mathematical Methods in the Applied Sciencesjournal2023en

ABI

Abstract

In this paper, for the elliptic equation with two lines of different order of degeneration, given in the first quarter of the plane , four fundamental solutions are constructed that are expressed by Appell's hypergeometric functions of two variables. By means the decomposition formula of the Appell's function in products of the Gauss hypergeometric function, it is proved that the constructed fundamental solutions possess a logarithmic singularity for .

Topics

Iterative Methods for Nonlinear Equations Mathematical functions and polynomials Fractional Differential Equations Solutions

Identifiers

DOI: 10.1002/mma.9236

Citations and references

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