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    A certain convolution approach for subclasses of analytic functions with negative coefficients
    (Taylor & Francis Ltd, 2009) Srivastava, H. M.; Eker, Sevtap Sumer; Seker, Bilal
    Making use of the familiar convolution structure of analytic functions, in this study we introduce and investigate a new subclass of analytic functions, whose Taylor-Maclaurin coefficients from the second term onwards are all negative. We derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the general class, which we have introduced and studied in this article.
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    CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH MILLER-ROSS-TYPE POISSON DISTRIBUTION SERIES
    (Honam Mathematical Soc, 2022) Seker, Bilal; Eker, Sevtap Sumer; Cekic, Bilal
    The purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Miller-Ross type-Poisson distribution series, to belong to classes G(lambda, (5) and K(lambda, (5).
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    Coefficient bounds for subclasses of bi-univalent functions defined by fractional derivative operator
    (Tbilisi Centre Math Sci, 2020) Eker, Sevtap Sumer; Seker, Bilal; Ece, Sadettin
    In this paper, first we introduce new subclasses of analytic and bi-univalent functions defined by fractional derivative operator in the open unit disk and then for the functions belongs to these classes obtain upper bounds for the initial coefficients.
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    Inclusion and neighborhood properties for certain classes of multivalently analytic functions of complex order associated with the convolution structure
    (Elsevier Science Inc, 2009) Srivastava, H. M.; Eker, Sevtap Sumer; Seker, Bilal
    Making use of the familiar convolution structure of analytic functions, in this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the class introduced here. (c) 2009 Elsevier Inc. All rights reserved.
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    On ?-pseudo bi-starlike and ?-pseudo bi-convex functions with respect to symmetrical points
    (Tbilisi Centre Math Sci, 2018) Eker, S. Sumer; Seker, Bilal
    In this paper, defining new interesting classes, lambda-pseudo bi-starlike functions with respect to symmetrical points and lambda-pseudo bi-convex functions with respect to symmetrical points in the open unit disk U, we obtain upper bounds for the initial coefficients of functions belonging to these new classes.
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    ON CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH PASCAL DISTRIBUTION SERIES
    (Ankara Univ, Fac Sci, 2021) Seker, Bilal; Sumer Eker, Sevtap
    In this study, by establishing a connection between normalized univalent functions in the unit disc and Pascal distribution series, we have obtained the necessary and sufficient conditions for these functions to belong to some subclasses of univalent functions of complex-order. We also determined some conditions by considering the integral operator for these functions.
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    On Subclasses of Analytic Functions Associated with Miller-Ross-Type Poisson Distribution Series
    (Univ Maragheh, 2022) Seker, Bilal; Eker, Sevtap Sumer; Cekic, Bilal
    The aim of this article is to obtain some necessary and sufficient conditions for functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to certain subclasses of analytic and univalent functions. Furthermore, we consider an integral operator related to the Miller-Ross type Poisson distribution series.
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    On subordination result associated with certain subclass of analytic functions involving Salagean operator
    (Springer International Publishing Ag, 2007) Eker, Sevtap Sumer; Seker, Bilal; Owa, Shigeyoshi
    We obtain an interesting subordination relation for Salagean-type certain analytic functions by using subordination theorem.
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    SECOND HANKEL DETERMINANT OF THE LOGARITHMIC COEFFICIENTS FOR A SUBCLASS OF UNIVALENT FUNCTIONS
    (Univ Miskolc Inst Math, 2024) Srivastava, Hari mohan; Eker, Sevtap sumer; Seker, Bilal; Cekic, Bilal
    In the present paper, we give the bounds for the second Hankel determinant of the logarithmic coefficients of a certain subclass of normalized univalent functions, which we have introduced here. Relevant connections of the results, which we have presented here, with those available in the existing literature are also described briefly.
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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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    Spiral-like functions associated with Miller-Ross-type Poisson distribution series
    (Springer Int Publ Ag, 2023) Eker, Sevtap Sumer; Murugusundaramoorthy, Gangadharan; Seker, Bilal; Cekic, Bilal
    The purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to class of spiral-like univalent 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.