Email this article Integral Symmetry for the Confluent Heun Equation with an Added Apparent Singularity
- Authors: Kazakov A.Y.1,2
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Affiliations:
- St. Petersburg State University of Technology and Design
- Department of Higher Mathematics, St. Petersburg State University of Aerospace Instrumentation
- Issue: Vol 214, No 3 (2016)
- Pages: 268-276
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237377
- DOI: https://doi.org/10.1007/s10958-016-2776-3
- ID: 237377
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Abstract
The confluent Heun equation with an added apparent singular point is under consideration. A new integral transform connecting solutions of this equation with different parameters is obtained. The kernel of this transform is a suitable solution of the confluent hypergeometric equation. Bibliography: 22 titles.
About the authors
A. Ya. Kazakov
St. Petersburg State University of Technology and Design; Department of Higher Mathematics, St. Petersburg State University of Aerospace Instrumentation
Author for correspondence.
Email: a_kazak@mail.ru
Russian Federation, St. Petersburg; St. Petersburg
