Introduces higher order degenerate r-deranged Bell numbers with singletons by generalizing barred preferential arrangements with no fixed blocks and initial singletons, then derives combinatorial identities and asymptotic results.
Generalization of Mellin derivative and its applications
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Combinatorics of higher order degenerate r-deranged bell numbers with singletons
Introduces higher order degenerate r-deranged Bell numbers with singletons by generalizing barred preferential arrangements with no fixed blocks and initial singletons, then derives combinatorial identities and asymptotic results.