Results 21 to 30 of about 113 (68)
Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 The purpose of the present paper is to obtain some inclusion relation between various subclasses of harmonic univalent functions by applying certain convolution operators associated with Wright’s generalized hypergeometric functions.
Rajavadivelu Themangani +3 more
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A Subclass of Harmonic Functions Related to a Convolution Operator
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We introduce a new subclass of harmonic functions by using a certain linear operator. For this class we derive coefficient bounds, extreme points, and inclusion results and also show that this class is closed under an integral operator.
Saqib Hussain +3 more
wiley +1 more source
Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well‐known classes defined by different authors. Inclusion results, radius problems, and some connections with the Bernardi‐Libera‐Livingston integral operator are discussed.
Badr S. Alkahtani +3 more
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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
wiley +1 more source
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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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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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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