Matrices which generate families of polynomials and associated infinite series

DOI10.1016/0022-247X(77)90108-1zbMath0355.15019MaRDI QIDQ1237111

P. R. Vein

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hermitian, skew-Hermitian, and related matrices (15B57) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (7)

Identities among certain triangular matrices ⋮ Recurrence relations and determinant forms for general polynomial sequences. Application to Genocchi polynomials ⋮ An umbral approach to find \(q\)-analogues of matrix formulas ⋮ On several \(q\)-special matrices, including the \(q\)-Bernoulli and \(q\)-Euler matrices ⋮ Determinants, their derivatives and nonlinear differential equations ⋮ Determinants, their derivatives and nonlinear differential equations ⋮ Polynomial sequences: elementary basic methods and application hints. A survey

Cites Work

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• A New Numerical Method for the Inversion of the Laplace Transform
• Generating Functions for Bessel and Related Polynomials

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