An Introduction to Catalan Numbers

Fibonacci and Catalan Numbers: An Introduction
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  • An Introduction to Catalan Numbers

    • Exposition 22 , no. Chinese [15] F. Liu, X. Shi, and F. Qi, A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers and function, Glob. Chinese [17] J. Ma, Notes on a result due to Ming Antu, J. Chinese [20] X. Mahmoud and F. Qi, Three identities of the Catalan—Qi numbers, Mathematics 4 , no. Qi, Parametric integrals, the Catalan numbers, and the beta function, Elem. Qi, A. Akkurt, and H. Qi and B. Guo, Logarithmically complete monotonicity of a function related to the Catalan—Qi function, Acta Univ.

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    Sapientiae Math. Qi, M. Mahmoud, X. Qi, X.

    Bibliographic Information

    Shi, and P. Shi, M. Mahmoud, and F. Shi, F. Liu, and D. Kruchinin, Several formulas for special values of the Bell polynomials of the second kind and applications, J.

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    Liu, The Catalan numbers: a generalization, an exponential representation, and some properties, J. Compact Textbook in Mathematics. Liu, and F. Qi, An integral representation of the Catalan numbers, Glob. Te, Catalan numbers in the Xiang shu yi yuan, Collected research papers on the history of mathematics, Vol.

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    Press, Hohhot, Chinese [36] Q. Zou, Analogues of several identities and supercongruences for the Catalan—Qi numbers, J.

    Encyclopedia and survey articles:

    Related Papers. Complete monotonicity of a function involving the gamma function and applications. By Feng Qi.

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    An Introduction to Catalan Numbers

    Further Properties and Examples. The gcd Property for the Fibonacci Numbers. Alternate Fibonacci Numbers. One Final Example? Historical Background. The Catalan Numbers at Sporting Events.