2017
Том 69
№ 9

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Solution of a Linear Second-Order Differential Equation with Coefficients Analytic in the Vicinity of a Fuchsian Zero Point

Kruglov V. E.

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Abstract

We obtain a solution of a second-order differential equation with coefficients analytic near a Fuchsian zero point. This solution is expressed via the hypergeometric functions and the fractional-order hypergeometric functions introduced in this paper.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 10, pp 1572-1585.

Citation Example: Kruglov V. E. Solution of a Linear Second-Order Differential Equation with Coefficients Analytic in the Vicinity of a Fuchsian Zero Point // Ukr. Mat. Zh. - 2012. - 64, № 10. - pp. 1381-1393.

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