F. Guillemin

activity

20192021

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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…