The altered Hermite matrix: implications and ramifications
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Matrix theory is essential for addressing practical problems and executing computational tasks. Matrices related to Hermite polynomials are essential due to their applications in quantum relations, and spectral properties make them a valuable tool for both theoretical research and practical applications. From a different perspective, we introduced a variant of the Hermite matrix that incorporates triple factorials and demonstrated that this matrix satisfies various properties. By utilizing effective matrix algebra techniques, various algebraic properties of this matrix have been determined, including the product formula, inverse matrix and eigenvalues. Additionally, we extended this matrix to a more generalized form and derived several identities.
Açıklama
Anahtar Kelimeler
Pascal-like matrix; Hermite polynomials; degenerate Hermite polynomials; factorization of matrix; Toeplitz matrix
Kaynak
Aims Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
9
Sayı
9
