A note on Hermite-Bernoulli polynomials

DOI10.1007/978-3-030-69236-0_6zbMath1472.33005OpenAlexW3186427452MaRDI QIDQ2050301

C. Cesarano, Alexandra Parmentier

Publication date: 30 August 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-69236-0_6

zbMATH Keywords

generating functionsHermite polynomialsfractional calculusBernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (2)

Confluent Appell polynomials ⋮ An algebraic approach to degenerate Appell polynomials and their hybrid forms via determinants

Cites Work

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• Finding mixed families of special polynomials associated with Appell sequences
• Operational formulas connected with two generalizations of Hermite polynomials
• A note on multi-index polynomials of Dickson type and their applications in quantum optics
• Multidimensional extensions of the Bernoulli and Appell polynomials
• A linear algebra approach to the hybrid Sheffer-Appell polynomials
• The third and fourth kind pseudo-Chebyshev polynomials of half-integer degree
• Multi-dimensional Chebyshev polynomials: a non-conventional approach
• Generalized special functions in the description of fractional diffusive equations
• Hermite-based Appell polynomials: Properties and applications
• Operational Methods and New Identities for Hermite Polynomials
• Laguerre-type bessel functions

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