Coefficient bounds for some subclasses of p-valently starlike functions

C. Selvaraj, O. S. Babu, G. Murugusundaramoorthy

Abstract


For functions of the form \[f(z) = z^{p} + \sum_{n = 1}^{\infty} a_{p + n} z^{p + n}\] we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete-Szego-like inequality for classes of functions defined through extended fractional differintegrals are obtained.

Keywords


Analytic functions; starlike functions; convex functions; p-valent functions; subordination; convolution; Fekete-Szego inequality.

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References


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DOI: http://dx.doi.org/10.17951/a.2013.67.2.65-78
Data publikacji: 2015-07-15 00:00:00
Data złożenia artykułu: 2016-01-12 13:21:49

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