Generalized shift operators and pseudo-polynomials of fractional order.

DOI10.1016/S0096-3003(02)00334-XzbMath1068.33013MaRDI QIDQ1408310

Paolo Emilio Ricci, Dario Sacchetti, Giuseppe Dattoli

Publication date: 15 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Bessel functionsGould-Hopper polynomialsHermite-Kampé de Fériet polynomialsExponential operatorsFractional differential operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (11)

Fractional diffusion-type equations with exponential and logarithmic differential operators ⋮ On fractional calculus of \(\mathcal A_{2n+1}(x)\) function ⋮ Fractional Gamma and Gamma-Subordinated Processes ⋮ Fractional exponential operators and time-fractional telegraph equation ⋮ Fractional exponential operators and nonlinear partial fractional differential equations in the Weyl fractional derivatives ⋮ On M-Wright transforms and time-fractional diffusion equations ⋮ Reconstruction of stationary and non-stationary signals by the generalized Prony method ⋮ Boson normal ordering via substitutions and Sheffer-type polynomials ⋮ The generalized Touchard polynomials revisited ⋮ Solution to system of partial fractional differential equations using the fractional exponential operators ⋮ How to Deal with Nonlocality and Pseudodifferential Operators. An Example: The Salpeter Equation

Cites Work

• Exponential Operators and Parameter Differentiation in Quantum Physics
• THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE
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