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Application of hypergeometric functions to the construction of particular solutions

B. Yu. IrgashevNew Uzbekistan University, Tashkent, Uzbekistan
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In this article, by the similarity method, self-similar solutions of higher-order equations with constant and variable coefficients are constructed. Self-similar solutions are expressed in terms of generalized hypergeometric functions. The examples show how the fundamental solutions of known equations can be expressed through the particular solutions we have constructed.

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