16 research outputs found

    Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operator

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    In this paper, we introduce and investigate two new subclasses of the functionclass\sigma of bi-univalent functions dened in the open unit disk, which are associated with thegeneralized Srivastava-Attiya operator, satisfying subordinate conditions. Furthermore, we ndestimates on the Taylor-Maclaurin coecients |a_2| and |a_3| for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out

    Coefficient estimate of BI-Bazilevic Functions of Sakaguchi type based on Srivastava-Attiya Operator

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    In this paper, we introduce and investigate a new subclass of the function class of biunivalentfunctions dened in the open unit disk, which are associated with the Hurwitz-Lerch zetafunction, satisfying subordinate conditions. Furthermore, we nd estimates on the Taylor-Maclaurincoecients ja2j and ja3j for functions in this new subclass. Several (known or new) consequences ofthe results are also pointed out.2010 Mathematics Subject Classication. Primary 30C45.Key Words and Phrases. Analytic functions; Univalent functions;Sakaguchi functions, Bi-univalentfunctions; Bi-starlike and bi-convex functions; Bi-Bazilevic functions; Hurwitz-Lerch zeta function;Jung-Kim-Srivastava integral operator; Libera-Bernardi integral operator

    ON DIFFERENTIAL SUBORDINATIONS CONNECTED WITH BAZILOEVIC FUNCTIONS RELATED TO A SECTOR.

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    In this investigation we generalized the class introduced by J. patel [7] of multivalent analytic functions to the subclass which has been recently published. Also we derive various properties by using the techniques of Briat-Bouquet differential subordination

    Coefficient estimates for new subclasses of meromorphic bi-univalent functions associated with linear operatör

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    In this paper, we define a new differential linear operator of meromorphic bi-univalent functions class Σʹ, and obtain the estimates for the coefficients |b₀| and |b₁|. Further we pointed out several new or known consequences of our results.Publisher's Versio
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