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A few results on Janowski functions associated with $k$-symmetric points
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The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with respect to $k$-symmetric points. We also study certain interesting properties like covering theorem, convolution condition, neighborhood results and argument theorem.
Abstract
The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with respect to $k$-symmetric points. We also study certain interesting properties like covering theorem, convolution condition, neighborhood results and argument theorem.
참고문헌 (14)
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- 권오상, "A certain subclass of Janowski type functions associated with k-symmetric points", 대한수학회논문집, 28(1), pp.143~154 (2013), 대한수학회
- S. Miller, "Differential Subordinations Theory and Applica-tions" (2000), Marcel Dekker
- F. Al-Sarari, "Conic regions and symmetric points", Int. J. Pure. Appl. Math, 97(3), pp.273~285 (2014)
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- P. L. Duren, "Univalent Functions" (1983), Springer-Verlag
- F. Al Sarari, "A few results on functions that are Janowski star-like related to (j; k)-symmetric points", Octagon Mathematical Magazine, 21(2), pp.556~563 (2013)
- R. Singh, "On some univalent functions in the unit disc", Indian. J. Pure. Appl. Math, 12, pp.513~520 (1981)
- S. Ponnusamy, "Some applications of dierential subordination and convolution techniques to univalent functions theory", Ph. D., pp.1988
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- F. Al-Sarari, "A note on Janowski functions with respect to (2j; k)-symmetric conjugate points", IOSR-JRME, pp.39~47 (2014)
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