A Unified Generalization of the Catalan, Fuss, and Fuss—Catalan Numbers
Copyright policy )A Unified Generalization of the Catalan, Fuss, and Fuss—Catalan Numbers
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.
- La Trobe University Australia
- Henan Polytechnic University China (People's Republic of)
- Tianjin Polytechnic University China (People's Republic of)
- Inner Mongolia University for Nationalities China (People's Republic of)
T57-57.97, Applied mathematics. Quantitative methods, Fuss number, Catalan–Qi function, QA75.5-76.95, integral representation, unified generalization, Catalan number, Electronic computers. Computer science, product-ratio expression, QA1-939, Fuss–Catalan number, logarithmically complete monotonicity of the second order, Mathematics
T57-57.97, Applied mathematics. Quantitative methods, Fuss number, Catalan–Qi function, QA75.5-76.95, integral representation, unified generalization, Catalan number, Electronic computers. Computer science, product-ratio expression, QA1-939, Fuss–Catalan number, logarithmically complete monotonicity of the second order, Mathematics
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