Some Inverse Relations Determined by Catalan Matrices

Author

Yang, Sheng-liang

Source

International Journal of Combinatorics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-09-24

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Yang, Sheng-liang. 2013. Some Inverse Relations Determined by Catalan Matrices. International Journal of Combinatorics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-478913

Modern Language Association (MLA)

Yang, Sheng-liang. Some Inverse Relations Determined by Catalan Matrices. International Journal of Combinatorics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-478913

American Medical Association (AMA)

Yang, Sheng-liang. Some Inverse Relations Determined by Catalan Matrices. International Journal of Combinatorics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-478913

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-478913