A unified matrix approach to the representation of Appell polynomials

DOI10.1080/10652469.2015.1013035zbMath1309.15015arXiv1406.1444OpenAlexW2963468415WikidataQ58197835 ScholiaQ58197835MaRDI QIDQ5246279

Lidia Aceto, Graça Tomaz, Helmuth R. Malonek

Publication date: 20 April 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1444

zbMATH Keywords

Appell polynomialsbinomial theoremPascal matrixcreation matrix

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (17)

A new class of Appell-type Changhee-Euler polynomials and related properties ⋮ On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations ⋮ On certain Appell polynomials and their generalizations based on the Tsallis \(q\)-exponential ⋮ A matrix approach to Sheffer polynomials ⋮ Finding mixed families of special polynomials associated with Appell sequences ⋮ Matrix approach to hypercomplex Appell polynomials ⋮ Appell and Sheffer sequences: on their characterizations through functionals and examples ⋮ Differential and integral equations for the Laguerre-Gould-Hopper-based Appell and related polynomials ⋮ Recurrence relation for the Appell sequences ⋮ FINDING RESULTS FOR CERTAIN RELATIVES OF THE APPELL POLYNOMIALS ⋮ On Ward's differential calculus, Riordan matrices and Sheffer polynomials ⋮ On several \(q\)-special matrices, including the \(q\)-Bernoulli and \(q\)-Euler matrices ⋮ Extended forms of certain hybrid special polynomials related to Appell sequences ⋮ On some classes of differential equations and associated integral equations for the Laguerre-Appell polynomials ⋮ Differential and integral equations associated with some hybrid families of Legendre polynomials ⋮ Connection problems and matrix representations for certain hybrid polynomials ⋮ Wronskian Appell polynomials and symmetric functions

Cites Work

• Laguerre derivative and monogenic Laguerre polynomials: an operational approach
• Generalized Pascal functional matrix and its applications
• A determinantal approach to Appell polynomials
• Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
• The umbral calculus
• 2-iterated Appell polynomials and related numbers
• Polynomials satisfying a binomial theorem
• The Matrices of Pascal and Other Greats
• Optimal stopping, Appell polynomials, and Wiener–Hopf factorization
• Pascal's Matrices
• An algebraic approach to Sheffer polynomial sequences
• Unnamed Item

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