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Extended Laguerre–Appell polynomials via fractional operators and their determinant forms
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2018
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EngineeringFractional OperatorsExtended FormOrthogonal PolynomialResolvent KernelOperational TechniquesAlgebraic AnalysisAnalytic CombinatoricsLaguerre-appell PolynomialsFunctional AnalysisApproximation Theory
In this article, the extended form of Laguerre-Appell polynomials is introduced by means of generating function and operational definition. The corresponding results for the extended Laguerre-Bernoulli and Laguerre-Euler polynomials are obtained as applications. Further, the determinant forms of these polynomials are established by using operational techniques.