41 research outputs found

    Subordination Properties for Certain Analytic Functions

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    The purpose of the present paper is to derive a subordination result for functions in the class ∗(,,) of normalized analytic functions in the open unit disk . A number of interesting applications of the subordination result are also considered

    Discussions on Recent Results for α

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    We establish certain fixed point results for α-η-generalized convex contractions, α-η-weakly Zamfirescu mappings, and α-η-Ćirić strong almost contractions. As an application, we derive some Suzuki type fixed point theorems and certain new fixed point theorems in metric spaces endowed with a graph and a partial order. Moreover, we discuss some illustrative examples to highlight the realized improvements

    Differential Subordination Results for Certain Integrodifferential Operator and Its Applications

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    We introduce an integrodifferential operator Js,b(f) which plays an important role in the Geometric Function Theory. Some theorems in differential subordination for Js,b(f) are used. Applications in Analytic Number Theory are also obtained which give new results for Hurwitz-Lerch Zeta function and Polylogarithmic function
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