Differential subordination results for certain integrodifferential operator and its applications
Summary: We introduce an integrodifferential operator \(J_{s,b}(f)\) which plays an important role in geometric function theory. Some theorems in differential subordination for \(J_{s,b}(f)\) are used. Applications to analytic number theory are also obtained which give new results for the Hurwitz-Lerch zeta function and the polylogarithmic function.
scientific article; zbMATH DE number 6134133
scientific article