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Bilateral generating functions for the two-parameter one-variable Srivastava polynomials

Abstract

In this paper we prove a general theorem on generating functions involving the two-parameter one-variable Srivastava polynomials, Legendre Polynomials of pseudo two variables and Lagrange polynomials of two variables. Some applications of these theorems lead us to derive several bilateral generating functions involving some well-known classical polynomials of one variable which are contained by the two-parameter one-variable Srivastava polynomials.

Mathematical functions and polynomialsFractional Differential Equations SolutionsAdvanced Differential Equations and Dynamical SystemsMathematicsDifference polynomialsClassical orthogonal polynomialsDiscrete orthogonal polynomialsVariable (mathematics)Gegenbauer polynomialsOrthogonal polynomialsWilson polynomialsLegendre polynomialsHahn polynomials
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Bilateral generating functions for the two-parameter one-variable Srivastava polynomials · Scinovex