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math.CA2021
Inversion of a Class of Singular Integral Operators on Entire Functions
Ridha Nasri, Alain Simonian, Fabrice Guillemin
Given constants and the space of entire functions in vanishing at , we consider the integro-differential operator $$ \mathfrak{…
math.CA2020
A New Linear Inversion Formula for a class of Hypergeometric polynomials
Ridha Nasri, Alain Simonian, Fabrice Guillemin
Given complex parameters , , , and , consider the infinite lower triangular matrix with elements $$ A_{n,k}(x,ν;α,β,γ) =…
math.CA2019
Inversion formula with hypergeometric polynomials and its application to an integral equation
Ridha Nasri, Alain Simonian, Fabrice Guillemin
For any complex parameters and , we provide a new class of linear inversion formulas between sequences $S = (S_n)_{n…