We obtain the solution of a second-order linear differential equation with coefficients analytic in the vicinity of a Fuchsian zero point. This solution is expressed via the hypergeometric functions and fractional-order hypergeometric functions introduced in the paper.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 10, pp. 1381–1393, October, 2012.
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Kruglov, V.E. Solution of a Linear Second-Order Differential Equation with Coefficients Analytic in the Vicinity of a Fuchsian Zero Point. Ukr Math J 64, 1572–1585 (2013). https://doi.org/10.1007/s11253-013-0736-3
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DOI: https://doi.org/10.1007/s11253-013-0736-3