Differential subordination results for certain integrodifferential operator and its applications (Q1938260)

From MaRDI portal





scientific article; zbMATH DE number 6134133
Language Label Description Also known as
English
Differential subordination results for certain integrodifferential operator and its applications
scientific article; zbMATH DE number 6134133

    Statements

    Differential subordination results for certain integrodifferential operator and its applications (English)
    0 references
    0 references
    0 references
    4 February 2013
    0 references
    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.
    0 references
    integrodifferential operator
    0 references
    subordination
    0 references
    analytic naumber theory
    0 references
    0 references
    0 references

    Identifiers