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Medientyp:
E-Artikel
Titel:
A Unified Generalization of the Catalan, Fuss, and Fuss—Catalan Numbers
Beteiligte:
Qi, Feng;
Shi, Xiao-Ting;
Cerone, Pietro
Erschienen:
MDPI AG, 2019
Erschienen in:Mathematical and Computational Applications
Sprache:
Englisch
DOI:
10.3390/mca24020049
ISSN:
2297-8747
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>In the paper, the authors introduce a unified generalization of the Catalan numbers, the Fuss numbers, the Fuss–Catalan numbers, and the Catalan–Qi function, and discover some properties of the unified generalization, including a product-ratio expression of the unified generalization in terms of the Catalan–Qi functions, three integral representations of the unified generalization, and the logarithmically complete monotonicity of the second order for a special case of the unified generalization.</jats:p>