Some Inverse Relations Determined by Catalan Matrices | Zendy

Sheng-Liang Yang | Zendy

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Some Inverse Relations Determined by Catalan Matrices

Author(s) -

Sheng-Liang Yang

Publication year - 2013

Publication title -

international journal of combinatorics

Language(s) - English

Resource type - Journals

eISSN - 1687-9171

pISSN - 1687-9163

DOI - 10.1155/2013/528584

Subject(s) - catalan number , catalan , inverse , sequence (biology) , mathematics , binomial coefficient , combinatorics , identity (music) , relation (database) , algorithm , computer science , data mining , chemistry , geometry , physics , humanities , philosophy , biochemistry , acoustics

We use the A -sequence and Z -sequence of Riordan array to characterize the inverse relation associated with the Riordan array. We apply this result to prove some combinatorial identities involving Catalan matrices and binomial coefficients. Some matrix identities obtained by Shapiro and Radoux are all special cases of our identity. In addition, a unified form of Catalan matrices is introduced.

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