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Asymptotic and numerical aspects of the generalized Marcum function of the second kind

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Publication:5866254
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DOI10.2298/AADM201001008BzbMath1499.41095OpenAlexW4226368401MaRDI QIDQ5866254

V. Antony Vijesh, Sanjeev Singh, Árpád Baricz, Nitin Bisht

Publication date: 13 June 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm201001008b


zbMATH Keywords

modified Bessel function of the second kindasymptotic expansionrecurrence relationLaplace methodgeneralized Marcum function of the second kind


Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Moment problems and interpolation problems in the complex plane (30E05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)



Uses Software

  • DLMF
  • Algorithm 939



Cites Work

  • Bounds for the generalized Marcum function of the second kind
  • The generalized Marcum function of the second kind: monotonicity patterns and tight bounds
  • Algorithm 939
  • Unnamed Item
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