Hyper-Leonardo p-numbers and associated norms
Copyright policy )Hyper-Leonardo p-numbers and associated norms
Summary: In this paper, we introduce hyper-Leonardo \(p\)-numbers, which generalize ``hyper-Leonardo numbers''. We establish their various combinatorial properties, including recurrence relations, summation formulas, and the generating function. We also compute Euclidean norms and obtain bounds for spectral norms of different forms of \(k\)-circulant matrices associated with hyper-Leonardo \(p\)-numbers. Additionally, we derive some bounds for spectral norms of Kronecker and Hadamard products involving these matrices.
Exact enumeration problems, generating functions, Matrices of integers, \(k\)-circulant matrix, Leonardo numbers, hyper-Leonardo \(p\)-numbers, generating function, leonardo numbers, spectral norm, Special sequences and polynomials, QA1-939, k-circulant matrix, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Recurrences, Mathematics, hyper-leonardo p-numbers
Exact enumeration problems, generating functions, Matrices of integers, \(k\)-circulant matrix, Leonardo numbers, hyper-Leonardo \(p\)-numbers, generating function, leonardo numbers, spectral norm, Special sequences and polynomials, QA1-939, k-circulant matrix, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Recurrences, Mathematics, hyper-leonardo p-numbers
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