Some aspects of harmonic analysis related to Gegenbauer expansions on the half-line

Vagif S. Guliyev, Elman J. Ibrahimov

In this paper we consider the generalized shift operator, generated by the Gegenbauer differential operator $$ G =\left(x^2-1\right)^{\frac{1}{2}-λ} \frac{d}{dx} \left(x^2-1\right)…