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MEROMOR0PHIC UNIVALENT HARMONIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
Jahangiri, Jay M.,Silverman, Herb Korean Mathematical Society 1999 대한수학회보 Vol.36 No.4
The purpose of this paper is to give sufficient coefficient conditions for a class of univalent harmonic functions that map each $$\mid$z$\mid$$ = r >1 onto a curve that bounds a domain that is starlike with respect to origin. Furthermore, it is shown that these conditions are also necessary when the coefficients are negative. Extreme points for these classes are also determined. Finally, comparable results are given for the convex analgo.
HARMONIC MEROMORPHIC STARLIKE FUNCTIONS
Jahangiri, Jay, M. Korean Mathematical Society 2000 대한수학회보 Vol.37 No.2
We give sufficient coefficient conditions for a class of meromorphic univalent harmonic functions that are starlike of some order. Furthermore, it is shown that these conditions are also necessary when the coefficients of the analytic part of the function are positive and the coefficients of the co-analytic part of the function are negative. Extreme points, convolution and convex combination conditions for these classes are also determined. Fianlly, comparable results are given for the convex analogue.
INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS
AGHALARY RASOUL,JAHANGIRI JAY M. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.3
Inclusion relations under certain integral operators are proved for k-uniformly starlike functions. These results are also extended to k-uniformly convex, close-to-convex, and quasi-convex functions
An Integrated Approach to Teaching and Learning College Mathematics
Ahuja, Om P,Jahangiri, Jay M 한국수학교육학회 2003 수학교육연구 Vol.7 No.1
The key features of our integrated approaching and learning college mathematics include interactive and discussion-based teaching, small group work, computer as a tool, problem solving approach, open approach, mathematics in context, emphasis on mathematical thinking and creativity, and writing/communicating about mathematics. In this paper we report a few examples to illustrate the type of problems we use in our integrated approach.
On a Linear Combination of Classes of Multivalently Harmonic Functions
OM P. AHUJA,JAY M. JAHANGIRI 경북대학교 자연과학대학 수학과 2002 Kyungpook mathematical journal Vol.42 No.1
New classes of multivalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. Furthermore, we determine a representation theorem, inclusion relations, and distortion bounds for these functions.
On a Class of Univalent Functions Defined by Ruscheweyh Derivatives
SHAMS, S.,KULKARNI, S.R.,JAHANGIRI, JAY M. Department of Mathematics 2003 Kyungpook mathematical journal Vol.43 No.4
A new class of univalent functions is defined by making use of the Ruscheweyh derivatives. We provide necessary and sufficient coefficient conditions, extreme points, integral representations, distortion bounds, and radius of starlikeness and convexity for this class.