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Coefficient estimates and quasi-subordination properties associated with certain subclasses of analytic and bi-univalent functions

In: Mathematica Slovaca, vol. 65, no. 3
S. P. Goyal - Rakesh Kumar
Detaily:
Rok, strany: 2015, 533 - 544
Kľúčové slová:
univalent functions, bi-univalent functions, bi-starlike functions, bi-convex functions, quasi-subordination
O článku:
In the present paper, we obtain the estimates on initial coefficients of normalized analytic function $f$ in the open unit disk with $f$ and its inverse $g=f-1$ satisfying the conditions that $zf'(z)/f(z)$ and $zg'(z)/g(z)$ are both quasi-subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are established.
Ako citovať:
ISO 690:
Goyal, S., Kumar, R. 2015. Coefficient estimates and quasi-subordination properties associated with certain subclasses of analytic and bi-univalent functions. In Mathematica Slovaca, vol. 65, no.3, pp. 533-544. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0038

APA:
Goyal, S., Kumar, R. (2015). Coefficient estimates and quasi-subordination properties associated with certain subclasses of analytic and bi-univalent functions. Mathematica Slovaca, 65(3), 533-544. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0038
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