Results 21 to 30 of about 113 (64)
Fekete‐Szegö Inequalities for Starlike Functions with respect to k‐Symmetric Points of Complex Order
Journal of Complex Analysis, Volume 2014, Issue 1, 2014., 2014 Sharp upper bounds of a3-μa22 for the function fz=z+∑m=2∞amzm belonging to certain subclass of starlike functions with respect to k‐symmetric points of complex order are obtained. Also, applications of our results to certain functions defined through convolution with a normalized analytic function are given. In particular, Fekete‐Szegö inequalities for
M. K. Aouf +3 more
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Some Properties of Certain Class of Analytic Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We obtain some properties related to the coefficient bounds for certain subclass of analytic functions. We also work on the differential subordination for a certain class of functions.
Uzoamaka A. Ezeafulukwe +2 more
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A Study of Cho‐Kwon‐Srivastava Operator with Applications to Generalized Hypergeometric Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We introduce a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically functions related to Cho‐Kwon‐Srivastava operator. A characterization property giving the coefficient bounds is obtained for this class of functions.
F. Ghanim, M. Darus, Hari M. Srivastava
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Coefficient Estimate of Biunivalent Functions of Complex Order Associated with the Hohlov Operator
Journal of Complex Analysis, Volume 2014, Issue 1, 2014., 2014 We introduce and investigate a new subclass of the function class Σ of biunivalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor‐Maclaurin coefficients |a2| and |a3| for functions in this new subclass.
Z. Peng +3 more
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Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 There are many articles in the literature dealing with the first‐order and the second‐order differential subordination and superordination problems for analytic functions in the unit disk, but only a few articles are dealing with the above problems in the third‐order case (see, e.g., Antonino and Miller (2011) and Ponnusamy et al. (1992)).
Huo Tang +4 more
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Certain classes of harmonic functions pertaining to special functions [PDF]
Математичні Студії, 2011 Making use of generalized Dziok-Srivastava operator we introduced a new class of complexvalued harmonic functions which are orientation preserving, univalent and starlike in the unit disc.
G. Murugusundaramoorthy +2 more
doaj
A New Class of Meromorphic Functions Involving the Polylogarithm Function
Journal of Complex Analysis, Volume 2014, Issue 1, 2014., 2014 We introduce a new operator Dcf(z) associated with polylogarithm function. By making use of the new operator, we define a certain new class of meromorphic functions and discussed some important properties of it.
Khadeejah Rasheed Alhindi +2 more
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A Class of Starlike Functions Defined by the Dziok-Srivastava Operator
Kyungpook mathematical journal, 2009 Abstract. A comprehensive class of starlike univalent functions de ned by Dziok-Srivastava operator is introduced. Necessary and sucient coecient bounds are givenfor functions in this class to be starlike. Further distortion bounds, extreme points andresults on partial sums are investigated. 1. IntroductionLet Adenote the class of functions of the form(
Herb Silverman +2 more
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and | a3|.
Gangadharan Murugusundaramoorthy +1 more
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Meromorphic Parabolic Starlike Functions Associated with q‐Hypergeometric Series
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 We introduce a new class of meromorphic parabolic starlike functions with a fixed point defined in the punctured unit disk Δ*≔{z ∈ ℂ : 0 < |z| < 1} involving the q‐hypergeometric functions. We obtained coefficient inequalities, growth and distortion inequalities, and closure results for functions f∈ℳmlλ,β,γ.
G. Murugusundaramoorthy +3 more
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