Ukrainian Mathematical Journal

, Volume 64, Issue 10, pp 1572–1585 | Cite as

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

  • V. E. Kruglov

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.


Hypergeometric Function Common Denominator Hypergeometric Series Absolute Convergence Extended Class 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • V. E. Kruglov
    • 1
  1. 1.Mechnikov Odessa National UniversityOdessaUkraine

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