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Creator: Gómez-Déniz, Emilio Sarabia, José María Publication: Warsaw: Versita, 2026
URN: urn:nbn:de:101:1-2602180241581.509917991582
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New representations of Catalan’s constant obtained from the half hyperbolic secant distribution

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Mathematica Slovaca

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Title:
Mathematica Slovaca
Publication:
Warsaw: Versita
Note:
Gesehen am 17.01.2017
Archivierung/Langzeitarchivierung gewährleistet
C!URL-Ä(31-10-13)
Scope:
Online-Ressource
ISSN:
1337-2211
ZDB-ID:
2393408-6 ZDB
VÖBB-Katalog:
34174084
Keywords:
Zeitschrift
Classification:
Mathematik
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen
Title:
Mathematica Slovaca
Publication:
Warsaw: Versita
Note:
Gesehen am 17.01.2017
Archivierung/Langzeitarchivierung gewährleistet
C!URL-Ä(31-10-13)
Scope:
Online-Ressource
ISSN:
1337-2211
ZDB-ID:
2393408-6 ZDB
VÖBB-Katalog:
34174084
Keywords:
Zeitschrift
Classification:
Mathematik
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen

New representations of Catalan’s constant obtained from the half hyperbolic secant distribution

Article

Author:
Gómez-Déniz, Emilio
Sarabia, José María
Title:
New representations of Catalan’s constant obtained from the half hyperbolic secant distribution
Publication:
Warsaw: Versita, 2026
Language:
English
Information:
Abstract: Derived from the half hyperbolic secant distribution, new expressions and bounds for Catalan’s constant are presented. They are obtained by using expressions for the Lorenz curve, the Gini and Theil indices, convolutions, and a mixture of distributions, among other approaches. The new expressions are presented both in terms of integral (simple and double) representation and also as an interesting series representation. In addition, some integral representations of Apéry’s constant and Euler numbers are obtained.
Scope:
Online-Ressource
Note:
Open Access unbekannt
Archivierung/Langzeitarchivierung gewährleistet
Keywords:
Apéry’s constant ; Catalan’s constant ; Euler numbers ; Gini index ; half-hyperbolic secant distribution ; Lorenz curve ; 11A99 ; 11B99 ; 33B10 ; 62E15 ; 62P99
Classification:
Mathematik
URN:
urn:nbn:de:101:1-2602180241581.509917991582
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen
Author:
Gómez-Déniz, Emilio
Sarabia, José María
Title:
New representations of Catalan’s constant obtained from the half hyperbolic secant distribution
Publication:
Warsaw: Versita, 2026
Language:
English
Information:
Abstract: Derived from the half hyperbolic secant distribution, new expressions and bounds for Catalan’s constant are presented. They are obtained by using expressions for the Lorenz curve, the Gini and Theil indices, convolutions, and a mixture of distributions, among other approaches. The new expressions are presented both in terms of integral (simple and double) representation and also as an interesting series representation. In addition, some integral representations of Apéry’s constant and Euler numbers are obtained.
Scope:
Online-Ressource
Note:
Open Access unbekannt
Archivierung/Langzeitarchivierung gewährleistet
Keywords:
Apéry’s constant ; Catalan’s constant ; Euler numbers ; Gini index ; half-hyperbolic secant distribution ; Lorenz curve ; 11A99 ; 11B99 ; 33B10 ; 62E15 ; 62P99
Classification:
Mathematik
URN:
urn:nbn:de:101:1-2602180241581.509917991582
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Eingeschränkter Zugang mit Nutzungsbeschränkungen
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