Yazar "Acu, Mugur" seçeneğine göre listele

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    Applications of fractional derivatives for Alexander integral operator
    (Springer Heidelberg, 2021) Guney, Hatun Ozlem; Acu, Mugur; Breaz, Daniel; Owa, Shigeyoshi
    Let T-n be the class of functions f (z) = z + a(n+1)z(n+1) + a(n+2)z(n+2) +... that are analytic in the closed unit disc U. With m different boundary points z(s), (s = 1, 2,..., m), we consider alpha(m) is an element of e(i beta) A(j+lambda) f (U), here A(j+lambda) is given by using fractional derivatives Dj+lambda f (z) for f (z) is an element of T-n. Using A(j+lambda), we introduce a subclass P-n(alpha(m), beta, rho; j, lambda) of T-n. The main goal of our paper is to discuss some interesting results of f (z) in the class P-n(alpha(m), beta, rho; j, lambda).
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    New classes of certain analytic functions
    (Semnan Univ, 2022) Guney, H. Ozlem; Acu, Mugur; Owa, Shigeyoshi
    Considering a function f(z) which is the extremal function for p-valently starlike of order a in the open unit disk, two new classes S-p*(m,alpha) and K-p(m, alpha) are introduced. The object of the present paper is to discuss some interesting problems of functions f (z) concerned with S-p* (m, alpha) and K-p (m, alpha).
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    Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions
    (Mdpi, 2022) Eker, Sevtap Sumer; Seker, Bilal; Cekic, Bilal; Acu, Mugur
    The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of univalent functions themselves or to their powers, via the Lebedev-Milin inequalities; therefore, it is interesting to investigate the Hankel determinant whose entries are logarithmic coefficients. The main purpose of this paper is to obtain the sharp bounds for the second Hankel determinant of logarithmic coefficients of strongly starlike functions and strongly convex functions.
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    SUBCLASSES OF k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS DEFINED BY SALAGEAN OPERATOR
    (Korean Mathematical Soc, 2011) Seker, Bilal; Acu, Mugur; Eker, Sevtap Sumer
    The main object of this paper is to introduce and investigate new subclasses of normalized analytic functions in the open unit disc U, which generalize the familiar class of k-starlike functions. The various properties and characteristics for functions belonging to these classes derived here include (for example) coefficient inequalities, distortion theorems involving fractional calculus, extreme points, integral operators and integral means inequalities.