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On the \(\pi \)-function for nonconvex \(l_{2,p}\)-circle discs

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Publication:616545
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DOI10.1007/S10986-008-9016-6zbMath1206.28005OpenAlexW1978184430MaRDI QIDQ616545

Wolf-Dieter Richter

Publication date: 10 January 2011

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-008-9016-6


zbMATH Keywords

\(p\)-generalized uniform distributionextended \(\pi\)-functiongeneralized \(\pi\)generalized circle numbersgeneralized perimetergeometry of real numbersmodified method of indivisiblesstar-shaped arc-length measure


Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)


Related Items (6)

Exact extreme value, product, and ratio distributions under non-standard assumptions ⋮ Circle numbers of regular convex polygons ⋮ Exact distributions of order statistics of dependent random variables from \(l_{n,p}\)-symmetric sample distributions, \(n\in\{3,4\}\) ⋮ Geometric aspects of robust testing for normality and sphericity ⋮ Circle numbers for star discs ⋮ Continuous \(l_{n,p}\)-symmetric distributions




Cites Work

  • On \(l_{2, p}\) -circle numbers
  • Generalized spherical and simplicial coordinates




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