Tur\'an type inequalities for regular Coulomb wave functions

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Baricz, Árpád;
  • Related identifiers: doi: 10.1016/j.jmaa.2015.04.082
  • Subject: 33C15 | Mathematics - Classical Analysis and ODEs
    arxiv: Mathematics::Classical Analysis and ODEs | Mathematics::Probability | Condensed Matter::Mesoscopic Systems and Quantum Hall Effect

Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest. Moreover, some complete monotoni... View more
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