Extended Laguerre–Appell polynomials via fractional operators and their determinant forms

DOI10.3906/mat-1710-55zbMath1424.26012OpenAlexW2883004547WikidataQ129474378 ScholiaQ129474378MaRDI QIDQ5742714

Shahid Ahmad Wani, Subuhi Khan

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1710-55

zbMATH Keywords

Laguerre polynomialsfractional calculusAppell polynomialsLaguerre-Appell polynomialsoperational rulesdeterminant definition

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exponential and trigonometric functions (33B10)

Related Items (3)

\(\Delta_\omega\)-Laguerre based Appell polynomials and their properties associated with some special polynomials ⋮ Gould-Hopper based Frobenius-Genocchi polynomials and their generalized form ⋮ Certain new presentation of the generalized polynomials and numbers

Cites Work

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• Special polynomials and fractional calculus
• Laguerre-based Appell polynomials: properties and applications
• A determinantal approach to Appell polynomials
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Hermite-based Appell polynomials: Properties and applications
• An algebraic exposition of umbral calculus with application to general linear interpolation problem: A survey
• An algebraic approach to Sheffer polynomial sequences

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