Akademik Veri Yönetim Sistemi
WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS, cilt.25, ss.196-209, 2026 (Scopus)
In this paper, we introduce and systematically study the Hyper G-Matrix Pair where is a Hankel matrix constructed from generalized harmonic numbers and is a binomial weight matrix generalizing the classical Hilbert matrix. We establish the fundamental duality relation with explicit diagonal matrices and . This relation extends the classical connection between the harmonic Hankel matrix and the Hilbert matrix for . We provide explicit constructions, computational verifications, and structural properties of these matrix pairs. Connections to digamma functions, binomial coefficients, and Cauchy-type matrices are explored. The results unify and generalize several classical results in matrix analysis and special functions.