Articles with "confluent heun" as a keyword



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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

Evolutionary dynamics and eigenspectrum of confluent Heun equation

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Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/ababb4

Abstract: We consider a biological population evolving under the joint action of selection, mutation and random genetic drift. The evolutionary dynamics are described by a one-dimensional Fokker-Planck equation whose eigenfunctions obey a confluent Heun equation. These… read more here.

Keywords: equation; evolutionary dynamics; confluent heun; eigenspectrum confluent ... See more keywords