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تسجيل مستخدم جديدCombinatorial identities related to $2times 2$ submatrices of recursive matrices
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Recursive matrices are ubiquitous in combinatorics, which have been extensively studied. We focus on the study of the sums of $2times 2$ minors of certain recursive matrices, the alternating sums of their $2times 2$ minors, and the sums of their $2times 2$ permanents. We obtain some combinatorial identities related to these sums, which generalized the work of Sun and Ma in [{it Electron. J. Combin. 2014}] and [{it European J. Combin. 2014}]. With the help of the computer algebra package {tt HolonomicFunctions}, we further get some new identities involving Narayana polynomials.
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