Confluent Heun Equation and Confluent Hypergeometric Equation


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Abstract

The confluent Heun equation and the confluent hypergeometric equation are studied in scalar and vector forms with particular emphasis on the role of apparent singularities. A relation to the Painlevé equation is established.

About the authors

S. Yu. Slavyanov

St.Petersburg State University

Author for correspondence.
Email: slav@ss2034.spb.edu
Russian Federation, St.Petersburg

A. A. Salatich

St.Petersburg State University

Email: slav@ss2034.spb.edu
Russian Federation, St.Petersburg


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