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Öğe A certain convolution approach for subclasses of analytic functions with negative coefficients(Taylor & Francis Ltd, 2009) Srivastava, H. M.; Eker, Sevtap Sumer; Seker, BilalMaking 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.Öğe 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, BilalIn 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.Öğe 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.Öğe Faber Polynomial Coefficient Estimates for Bi-univalent Functions Defined by the Tremblay Fractional Derivative Operator(Springer Singapore Pte Ltd, 2018) Srivastava, H. M.; Sumer Eker, Sevtap; Hamidi, S. G.; Jahangiri, J. M.Using the Tremblay fractional derivative operator in the complex domain, we introduce and investigate a new class of analytic and bi-univalent functions in the open unit disk. We use the Faber polynomial expansions to obtain upper bounds for the general coefficients of such functions subject to a gap series condition as well as obtaining bounds for their first two coefficients.Öğe 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, BilalMaking 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.Öğe New Families of Bi-univalent Functions Associated with the Bazilevic Functions and the ?-Pseudo-Starlike Functions(Springer Int Publ Ag, 2021) Srivastava, H. M.; Wanas, Abbas Kareem; Guney, H. OzlemIn this article, we define two new families T-Sigma(mu, gamma, lambda; alpha) and T-Sigma*(mu, gamma, lambda; beta) of normalized holomorphic and bi-univalent functions which involve the Bazilevic. functions and the lambda-pseudo-starlike functions. For functions in each of these families, we establish the bounds for vertical bar a(2)vertical bar and vertical bar a(3)vertical bar, where a(2) and a(3) are the initial Taylor-Maclaurin coefficients. We also point out several special cases and consequences of our results.Öğe Some applications of a subordination theorem for a class of analytic functions(Pergamon-Elsevier Science Ltd, 2008) Srivastava, H. M.; Eker, Sevtap SumerBy 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.