Mashele, H.P.2012-02-292012-02-292010Mashele, H.P. 2010. The generalized functions of the second kind for general exponential weights. Quaestiones mathematicae, 33(4):477-484. [http://dx.doi.org/10.2989/16073606.2010.541622]1607-36061727-933X (Online)http://hdl.handle.net/10394/6037http://dx.doi.org/10.2989/16073606.2010.541622http://www.tandfonline.com/doi/abs/10.2989/16073606.2010.541622Let I be a finite or infinite interval containing 0, and let W : I → (0, ∞). Assume that W 2 is a weight, so that we may define orthonormal polynomials corresponding to W 2. The generalized functions of the second kind are , where H denotes the Hilbert transform, and v the bounded function on I. We investigate boundedness of the sum of qj (W 2, v, x)2 for the general class of exponential weightsHilbert transformFunctions of the second kindOrthonormal polynomialsExponential weights