In current work we discuss the issue of the analytic continuation of a power series along a logarithmic spiral outside of the convergence disc. A necessary and su�cient condition in terms of the interpolating entire function is obtained. Moreover, the relation in between the possibility of analytic continuation and the density of the lacunas of a power series is studied.
|On Analytic Continuation of the Power Series Outside of the Convergence Disc||May 17, 2021|
Romi Shamoyan Haiying Li
D. Vamshee Krishna T. Ramreddy
Mikayelyan, Gagik Hayrapetyan, Feliks
Khalida Inayat Noor Nasir Khan Qazi Zahoor Ahmad Nazar Khan Yao Liang Chung
Mher Martirosyan Davit Martirosyan