Articles

MEROMORPHIC FUNCTIONS WITH BOUNDED BOUNDARY ROTATION

  • Jacek DZIOK
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  • Faculty of Mathematics and Natural Sciences, University of Rzeszow, 35-310 Rzeszow, Poland

Received date: 2013-02-25

  Revised date: 2013-07-01

  Online published: 2014-03-20

Abstract

In this article, we generalize the class of meromorphic functions with bounded boundary rotation and related classes. Characterizations and some properties of these classes of functions are given.

Cite this article

Jacek DZIOK . MEROMORPHIC FUNCTIONS WITH BOUNDED BOUNDARY ROTATION[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 466 -472 . DOI: 10.1016/S0252-9602(14)60020-5

References

[1] Dziok J. Characterizations of analytic functions associated with functions of bounded variation. Ann Polon Math, 2013, 109: 199–207

[2] Hallenbeck D J, MacGregor T H. Linear Problems and Convexity Techniques in Geometric Function Theory. Pitman Advanced Publishing Program, Boston, Pitman, 1984

[3] Moulis E J. Generalizations of the Robertson functions. Pacific J Math, 1979, 81: 167–174

[4] Noor K I, Arif M. Mapping properties of an integral operator. Appl Math Lett, 2012, 25(11): 1826–1829

[5] Noor K I, Hussain S. On certain analytic functions associated with Ruscheweyh derivatives and bounded Mocanu variation. J Math Anal Appl, 2008, 340(2): 1145–1152

[6] Nunokawa M. On Bazileviˇc functions of bounded boundary rotation. J Math Soc Japan, 1972, 24: 275–278

[7] Padmanabhan K, Parvatham R. Properties of a class of functions with bounded boundary rotation. Ann Polon Math, 1975, 31: 311–323

[8] Pfaltzgraf J A, Pinchuk B. Constrained extremal problems for classes of meromorphic functions. Bull Amer Math Soc, 1969, 75: 379–383

[9] Paatero V. ¨Uber die konforme Abbildung von Gebieten deren R¨ander von beschr¨ankter Drehung sind. Ann
Acad Sei Fenn Ser A, 1931, 33: 1–79

[10] Pinchuk B. Functions with bounded boundary rotation. Isr J Math, 1971, 10: 7–16

[11] Thomas D K. On the coefficients of functions with bounded boundary rotation. Proc Amer Math Soc, 1972, 36: 123–129

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