Bell polynomials and differential equations of Freud-type polynomials

DOI10.1016/S0895-7177(02)00262-5zbMath1029.33003OpenAlexW2007510610MaRDI QIDQ1410672

Paolo Emilio Ricci, Angela Bernardini

Publication date: 14 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00262-5

zbMATH Keywords

differential equationsrecurrence relationsBell polynomialsFreud-type polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10)

Related Items (16)

Higher order bell polynomials and the relevant integer sequences ⋮ Bell polynomials and generalized Laplace transforms ⋮ Unnamed Item ⋮ Laguerre-type Bell polynomials ⋮ Bell polynomials and binomial type sequences ⋮ Bell polynomials and modified Bessel functions of half-integral order ⋮ Bell-Sheffer exponential polynomials of the second kind ⋮ An extension of the Bell polynomials ⋮ General identities on Bell polynomials ⋮ Remarks on Bell and higher order Bell polynomials and numbers ⋮ Logarithmic-Sheffer polynomials of the second kind ⋮ Solution of the Differential Equation $y^{(k)}=e^{ay}$, Special Values of Bell Polynomials and $(k,a)$-Autonomous Coefficients ⋮ Unnamed Item ⋮ A new set of Sheffer-Bell polynomials and logarithmic numbers ⋮ Unnamed Item ⋮ Multidimensional Bell polynomials of higher order

Cites Work

• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Operational formulas connected with two generalizations of Hermite polynomials
• The Factorization Method
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