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A certain subclass of Janowski type functions associated with k-symmetric points

심영재|권오상
대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회논문집 (Communications of the KMS)|제28권 제1호|pp. 143-154

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참고문헌

키워드

close-to-convex functionsJanowski typesakaguchi functionsk-symmetric points
주제분류수학

초록

We introduce a subclass S(k)s (A,B) (−1 ≤ B < A ≤ 1)of functions which are analytic in the open unit disk and close-to-convexwith respect to k-symmetric points. We give some coefficient inequalities,integral representations and invariance properties of functions belongingto this class.

Abstract

We introduce a subclass S(k)s (A,B) (−1 ≤ B < A ≤ 1)of functions which are analytic in the open unit disk and close-to-convexwith respect to k-symmetric points. We give some coefficient inequalities,integral representations and invariance properties of functions belongingto this class.

참고문헌 (13)

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  8. H. Silverman, "Subclasses of starlike functions subordinate to convex functions", Canad. J. Math, 37(1), pp.48~61 (1985)
  9. E. M. Silvia, "Subclass of close-to-convex functions", Int. J. Math. Math. Sci, 6(3), pp.449~458 (1983)
  10. J. Sokol, "On some subclass of starlike functions with respect to symmetric points", Zeszyty Nauk. Politech. Rzeszowskiej Mat. Fiz, 12, pp.65~73 (1991)
  11. J. Stankiewicz, "Some remarks on functions starlike with respect to symmertic points", Ann. Univ. Mariae Curie-Sklodowska Sect. A, 19, pp.53~59 (1970)
  12. T. V. Sudharsan, "On functions starlike with respect to symmetric and conjugate points", Taiwanese J. Math, 2(1), pp.57~68 (1998)
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