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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
Article
  • 47 Downloads

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.

Keywords

Hypergeometric Function Common Denominator Hypergeometric Series Absolute Convergence Extended Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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