Special polynomials and fractional calculus

DOI10.1016/S0895-7177(03)00080-3zbMath1081.33011MaRDI QIDQ597388

Sumit K. Garg

Publication date: 6 August 2004

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

zbMATH Keywords

fractionalintegral transformsspecial polynomials

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General integral transforms (44A05)

Related Items (20)

A new class of mixed Bessel functions via integral transforms ⋮ Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations ⋮ On amalgamation of truncated exponential and Gould-Hopper polynomials ⋮ Finding determinant and integral forms of the 2-iterated \(2D\) Appell polynomials ⋮ Fractional calculus and families of generalized Legendre-Laguerre-Appell polynomials ⋮ Gould-Hopper based Frobenius-Genocchi polynomials and their generalized form ⋮ Sawi decomposition method for Volterra integral equation with application ⋮ Unnamed Item ⋮ Extended Laguerre–Appell polynomials via fractional operators and their determinant forms ⋮ Fractional operators and some special functions ⋮ Extended forms of certain hybrid special polynomials related to Appell sequences ⋮ Fractional calculus and generalized forms of special polynomials associated with Appell sequences ⋮ Unnamed Item ⋮ A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays\(^\star \) ⋮ Construction of some hybrid relatives of Laguerre-Appell polynomials associated with Gould-Hopper matrix polynomials ⋮ Properties and applications of the Gould-Hopper-Frobenius-Euler polynomials ⋮ Operational rules and generalized special polynomials ⋮ From radiation and space exploration to the fractional calculus ⋮ Certain results involving fractional operators and special functions ⋮ Certain results on hybrid relatives of the Sheffer polynomials

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• Generating Functions for Bessel and Related Polynomials
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