Ostrovskii, I.2019-01-312019-01-3120061617-9447http://hdl.handle.net/11693/48572In 1904, Hardy introduced an entire function depending on two parameters being a generalization of e z. He had studied in detail its asymptotic properties and that of its zeros. We consider the two following non-asymptotic problems related to the zeros. (i) Determine values of the parameters such that all the zeros belong to the open left half-plane. For these values, the analogs of sine and cosine generated by Hardy’s function have real, simple and interlacing zeros. (ii) Determine the number of real zeros as a function of the parameters.EnglishClass PIntegral representationLevin's generalization of the Hermite - Biehler theoremLogarithmic derivativeRolle's theoremArticle2195-3724