Subordination and Superordination for Multivalent Functions Associated with the Dziok-Srivastava Operator
نویسندگان
چکیده
منابع مشابه
Subordination and Superordination for Functions Based on Dziok-srivastava Linear Operator
In this article, we obtain some subordination and superordination results involving Dziok-Srivastava linear operator and fractional integral operator for certain normalized analytic functions in the open unit disk.
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In the present investigation, we obtain some subordination and superordination results involving Dziok-Srivastava linear operator H l m[α1] for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.
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By making use of subordination between analytic functions and the Dziok-Srivastava operator, we introduce a new subclass of multivalent analytic functions. Such results as inclusion relationship, integral presentations and convolution properties for this function class are proved.
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Carlson and Shaffer [B.C. Carlson, D.B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984) 737–745] have introduced a linear operator associated with the Gaussian hypergeometric function which has been generalized by Dziok and Srivastava [J. Dziok, H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl....
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Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.
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