Articles with "confluent" as a keyword



A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations

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Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125037

Abstract: We review the series solutions of the general and single-confluent Heun equations in terms of powers, ordinary-hypergeometric and confluent-hypergeometric functions. The conditions under which the expansions reduce to finite sums as well as the cases… read more here.

Keywords: generalized hypergeometric; confluent heun; confluent; general single ... See more keywords

Schrödinger Potentials with Polynomial Solutions of Heun-Type Equations

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Published in 2025 at "Mathematics"

DOI: 10.3390/math13121963

Abstract: The present review discusses the solution of the Heun, confluent, biconfluent, double confluent, and triconfluent equations in terms of polynomial expansions, and applies the results to generate exactly solvable Schrödinger potentials. Although there are more… read more here.

Keywords: confluent; schr dinger; heun; double confluent ... See more keywords