Yazar "Eker, Sevtap Sumer" seçeneğine göre listele

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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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    A CLASS OF POISSON DISTRIBUTIONS BASED UPON A TWO-PARAMETER MITTAG-LEFFLER TYPE FUNCTION
    (Yokohama Publ, 2023) Srivastava, H. M.; Sekar, Bilal; Eker, Sevtap Sumer; Cekic, Bilal
    In this paper, we introduce and investigate a new generalization of the Poisson distribution by using a special function of the Mittag-Leffler type, which has arisen in the study of fractional calculus and fractional differential equations. For this class of Poisson type distributions based upon a two-parameter Mittag-Leffler type function, we derive several potentially useful properties including, for example, expressions for the rth moment and other associated entities.
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    Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions
    (Univ Nis, Fac Sci Math, 2015) Srivastava, H. M.; Eker, Sevtap Sumer; Ali, Rosihan M.
    In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk U. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. ome interesting recent developments involving other subclasses of analytic and bi-univalent functions are also briefly mentioned.
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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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    Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative
    (Elsevier France-Editions Scientifiques Medicales Elsevier, 2014) Akin, Gulfem; Eker, Sevtap Sumer
    We introduce and investigate a subclass of analytic and bi-univalent functions defined by a fractional derivative operator in the open unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this class. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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    Geometric Properties of the Generalized Wright-Bessel Functions
    (Univ Craiova, 2023) Akin, Gulfem; Eker, Sevtap Sumer
    In this article, we studied the geometric properties of generalized Wright-Bessel functions. For this purpose, we determined sufficient conditions for univalency, convexity, starlikeness and close-to-convexity of the generalized Wright-Bessel functions in the open unit disk.
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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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    A new subclass of analytic functions involving Al-Oboudi differential operator
    (Springer International Publishing Ag, 2008) Eker, Sevtap Sumer; Guney, H. Ozlem
    The main object of this paper is to introduce and investigate a new subclass of normalized analytic functions in the open unit disc U which is defined by Al-Oboudi differential operator. Coefficient inequalities, extreme points, and integral means inequalities for fractional derivative for this class are given. Copyright (C) 2008 S. Sumer Eker and H. Ozlem Guney.
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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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    Pascu-type p-valent functions associated with the convolution structure
    (Univ Babes-Bolyai, 2015) Oner, Birgul; Eker, Sevtap Sumer
    Making use of convolution structure, we introduce a new class of p-valent functions. Among the results presented in this paper include the coefficient bounds, distortion inequalities, extreme points and integral means inequalities for this generalized class of functions are discussed.
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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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    Some applications of a subordination theorem for a class of analytic functions
    (Pergamon-Elsevier Science Ltd, 2008) Srivastava, H. M.; Eker, Sevtap Sumer
    By making use of a subordination theorem for analytic functions, we derive several subordination relationships between certain subclasses of analytic functions which are defined by means of the Salagean derivative operator. Some interesting corollaries and consequences of our results are also considered. (C) 2007 Elsevier Ltd. All rights reserved.
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    Some general properties of analytic and p-valent functions
    (Univ Nis, Fac Sci Math, 2024) Eker, Sevtap Sumer; Guney, Hatun Ozlem; Owa, Shigeyoshi
    Let A(p) be the class of functions f (z) of the formf(z) = z(p) + a(p+1)z(p+1) + a(p+2)z(p+2) + . . . , (p is an element of N = {1, 2, 3, . . .})which are analytic in the open unit disc U. In this article, we consider some generalization properties of the functions in A(p) and generalize results by applying fractional derivatives.
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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.