Coefficient bounds for certain subclasses of starlike functions of complex order

In this work, we determine the coefficient bounds for functions in certain subclasses of starlike and convex functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler-type differential equation of order m . Several corollaries and consequences of the ma...

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Veröffentlicht in:	Applied mathematics letters 2011-08, Vol.24 (8), p.1359-1363
Hauptverfasser:	Srivastava, H.M., Altıntaş, Osman, Kırcı Serenbay, Sevilay
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic functions Cauchy–Euler differential equations Coefficients Convex functions of complex order Differential equations Exact sciences and technology Functions of a complex variable Mathematical analysis Mathematics Non-homogeneous differential equations Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations Sciences and techniques of general use Starlike functions of complex order
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Zusammenfassung:	In this work, we determine the coefficient bounds for functions in certain subclasses of starlike and convex functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler-type differential equation of order m . Several corollaries and consequences of the main results are also considered.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2011.03.010