On some results for -spirallike functions of complex order of higher-order derivatives of multivalent functions.
Vijaywargiya, Pramila (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Vijaywargiya, Pramila (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Liu, Jin-Lin (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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M. K. Aouf, A. O. Mostafa (2010)
Matematički Vesnik
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Darus, M., Ibrahim, R. (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45 The main object of this article is to introduce sufficient conditions of univalency for a class of analytic functions with finitely many coefficients defined by approximate functions due to Suffridge on the unit disk of the complex plane whose image is saddle-shaped. Sandwich theorem is also discussed.
Aydoğan, Melike, Polatoğlu, Yaşar (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45, 30C55 The aim of this paper is to give an application of the subordination principle to the class of spirallike logharmonic mappings which was introduced by Abdulhadi and Hengartner [1].
Cătaş, Adriana (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Shammugam, T.N., Ramachandran, C., Darus, M., Sivasubramanian, S. (2007)
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Oladipo, A.T. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Öztürk, Metin (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Cho, Nak Eun, Kwon, Oh Sang (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Obradović, Milutin, Owa, Shigeyoshi (1986)
International Journal of Mathematics and Mathematical Sciences
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Frode Rønning (1995)
Annales Polonici Mathematici
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For α ≥ 0 let denote the class of functions defined for |z| < 1 by integrating if α > 0, and log(1/(1-xz)) if α = 0, against a complex measure on |x| = 1. We study families of starlike functions where zf’(z)/f(z) ranges over a parabola with given focus and vertex. We prove a number of properties of these functions, among others that they are bounded and that they belong to . In general, it is only known that bounded starlike functions belong to for α > 0.