Geometric properties of the complex Baskakov-Stancu operators in the unit disk | Zendy

Rabha W. Ibrahim | Zendy

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Geometric properties of the complex Baskakov-Stancu operators in the unit disk

Author(s) -

Rabha W. Ibrahim

Publication year - 2013

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v33i1.21376

Subject(s) - mathematics , convexity , unit disk , analytic function , bounded function , baskakov operator , upper and lower bounds , unit (ring theory) , pure mathematics , mathematical analysis , operator theory , economics , financial economics , mathematics education , microlocal analysis , fourier integral operator

In this article, we determine certain conditions under which the partial sums involving thecomplex Baskakov-Stancu operators of analytic univalent functions of bounded turning are also of boundedturning. Moreover, we consider some geometric properties such as starlikeness and convexity for these partialsums. The lower bound of the partial sums of univalent functions is computed using the lower bound of thecomplex Baskakov-Stancu operators of analytic function

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