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YAVUZ, EMEL

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YAVUZ

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EMEL

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2014 - 20192
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End date: 2019Start date: 2010

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    On some first-order differential subordination
    (2014-07) Nunokawa, M.; Sokół, J.; Cho, N.E.; Owa, S.; YAVUZ, EMEL; 111202
    Let denote the class of functions f that are analytic in the unit disc and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that in . We determine conditions for α and β under which the function f is univalent, close-to-convex, and convex. To obtain this, we first estimate ∣Arg{f′(z)}∣ which improves the earlier results.
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    Notes on certain analytic functions
    (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2019) Owa, Shigeyoshi; YAVUZ, EMEL; 111202
    Let A(n) be the class of functions f(z) = a(n)z(n) + a(n+1)z(n+1) +...(n is an element of N), which are analytic in the open unit disk U, where a(n) not equal 0. For f(z) is an element of A(n), Miller and Mocanu in 1978 showed a very interesting result for f(z). Applying the result due to Miller and Mocanu, we would like to consider some new results for such functions. Our results in this paper are generalizations for results by Nunokawa in 1992.