F. Guillemin

activity

20192021

collaborators

4 papers

math.CA2021

Inversion of a Class of Singular Integral Operators on Entire Functions

Ridha Nasri, Alain Simonian, Fabrice Guillemin

Given constants $x, ν \in C$ and the space $H_{0}$ of entire functions in $C$ vanishing at $0$ , 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 $x$ , $ν$ , $α$ , $β$ and $γ \in / - N$ , consider the infinite lower triangular matrix $A (x, ν; α, β, γ)$ with elements $$ A_{n,k}(x,ν;α,β,γ) =…

math.CA2019

An inversion formula with hypergeometric polynomials and application to singular integral operators

R. Nasri, A. Simonian, F. Guillemin

Given parameters $x \in / R^{-} \cup {1}$ and $ν$ , $Re (ν) < 0$ , and the space $H_{0}$ of entire functions in $C$ vanishing at $0$ , we consider t…

math.CA2019

Inversion formula with hypergeometric polynomials and its application to an integral equation

Ridha Nasri, Alain Simonian, Fabrice Guillemin

For any complex parameters $x$ and $ν$ , we provide a new class of linear inversion formulas $T = A (x, ν) \cdot S \Leftrightarrow S = B (x, ν) \cdot T$ between sequences $S = (S_n)_{n…