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Media type:
E-Article
Title:
A Unified Generalization of the Catalan, Fuss, and Fuss—Catalan Numbers
Contributor:
Qi, Feng;
Shi, Xiao-Ting;
Cerone, Pietro
Published:
MDPI AG, 2019
Published in:
Mathematical and Computational Applications, 24 (2019) 2, Seite 49
Language:
English
DOI:
10.3390/mca24020049
ISSN:
2297-8747
Origination:
Footnote:
Description:
<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>