Strong Differential Superordination Results Involving Extended S?l?gean and Ruscheweyh Operators
نویسندگان
چکیده
The notion of strong differential subordination was introduced in 1994 and the theory related to it developed 2009. dual superordination also In a paper published 2012, given new approach by defining classes analytic functions on U×U¯ having as coefficients holomorphic U¯. Using those classes, extended S?l?gean Ruscheweyh operators were operator defined L?m:An?*?An?*,L?mf(z,?)=(1??)Rmf(z,?)+?Smf(z,?),z?U,??U¯, where Rmf(z,?) is derivative, Smf(z,?) An?*={f?H(U×U¯),f(z,?)=z+an+1?zn+1+?,z?U,??U¯}. This previously studied using subordinations. present paper, applying means same U×U¯. Several superordinations concerning L?m are established best subordinant for each superordination.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9192487