JANOWSKI STARLIKENESS AND CONVEXITY
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Certain necessary and sufficient conditions are determined for the functions f(z) = z - P1 n=2 anzn, an ≥ 0, defined on the open unit disk, to belong to various subclasses of starlike and convex func- tions. Also discussed are certain sufficient conditions for the normalised analytic functions f of the form (z=f(z))μ = 1 + P1 n=1 bnzn, μ ∈ C to belong to the class of Janowski starlike functions.
Abstract
Certain necessary and sufficient conditions are determined for the functions f(z) = z - P1 n=2 anzn, an ≥ 0, defined on the open unit disk, to belong to various subclasses of starlike and convex func- tions. Also discussed are certain sufficient conditions for the normalised analytic functions f of the form (z=f(z))μ = 1 + P1 n=1 bnzn, μ ∈ C to belong to the class of Janowski starlike functions.
참고문헌 (10)
- R. M. Ali, "Starlikeness associated with parabolic regions", Int. J. Math. Math. Sci, 2005(4), pp.561~570 (2005)
- R. M. Ali, "Coefficient inequalities for starlikeness and convexity", Tamkang J. Math, 44(2), pp.149~162 (2013)
- R. M. Ali, "Uniformly convex and uniformly starlike functions", Math. Newsletter, Ramanujan Math. Soc, 21(1), pp.16~30 (2011)
- M. K. Aouf, "Linear combinations of regular functions of order alpha with negative coefficients", Publ. Inst. Math. (Beograd) (N.S.), 47(61), pp.61~67 (1990)
- A. W. Goodman, "On uniformly convex functions", Ann. Polon. Math, 56(1), pp.87~92 (1991)
- S. Kanas, "Conic regions and k-uniform convexity", J. Comput. Appl. Math, 105(1-2), pp.327~336 (1999)
- SUSHIL KUMAR, "COEFFICIENT INEQUALITIES FOR JANOWSKI STARLIKENESS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(1), pp.83~100 (2016), 장전수학회
- M.-S. Liu, "Properties and characteristics of certain subclasses of starlike functions of order β", Math. Comput. Modelling, 48(3-4), pp.402~419 (2008)
- E. P. Merkes, "On products of starlike functions", Proc. Amer. Math. Soc, 13, pp.960~964 (1962)
- H. Silverman, "Subclasses of starlike functions subordinate to convex functions", Canad. J. Math, 37(1), pp.48~61 (1985)