TY  - JOUR
T1  - ON STARLIKE HARMONIC FUNCTIONS
AU  - Nosrati, S.
AU  - Zireh, A.
PY  - 2019
DA  - December
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 704
EP  - 711
VL  - 9
IS  - 4
LA  - en
AB  - Uniformly starlike univalent functions introduced by Goodman and we develop this idea over harmonic functions. We introduce a subclass of harmonic univalent functions which are fully starlike and uniformly starlike also. In the following we will mention some examples of this subclass and obtain two necessary and sucient conditions, one with the inequality form and other with convolution.
KW  - Uniformly starlike function
KW  - Fully-Starlike function
KW  - Harmonic function
KW  - Convolution.
CR  - Ahuja Om P., (2005) Planar harmonic univalent and related mappings, J. Inequal. Pure Appl. Math. 6 (4), Art-122.
CR  - Chuaqui M., Duren P. and Osgood B., (2004), Curvature properties of planar harmonic mappings, Comput. Methods Funct. Theory 4 (1), 127-142.
CR  - Clunie J. and Sheil-Small T., (1984), Harmonic Univalent Functions, Ann. Acad. Sci. Fenn. Ser. A. I. Math. 9 (2), pp. 3-25.
CR  - Duren P. L., (2004) Harmonic Mappings in the Plane, Cambridge University Press, New York.
CR  - Goodman A. W., (1991), On Uniformly Starlike Functions, J. Math. Ana. & App. 155, pp. 364-370.
CR  - Mocanu P. T., (1980), Starlikeness and convexity for nonanalytic functions in the unit disc, Mathe- matica (Cluj), 22, (45), pp. 77-83.
CR  - Nezhmetdinov I. R., (1997), Classes of Uniformly Convex and Uniformly Starlike Functions as Dual Sets, J. Math. Anal. Appl., 216, pp. 40-47.
CR  - Pommerenke Ch., (1975), Univalent Functions, Vandenhoeck and Ruprecht, G¨ottingen.
CR  - Yasar, E. and Yalcin, S., (2012), On Sakaguchi-type harmonic univalent functions, Int. J. Open Probl. Complex Anal. 4, (3), pp. 7-14.
CR  - Yasar, E. and Yalcin, S., (2014), Coefficient inequalities for certain classes of Sakaguchi-type harmonicfunctions, Southeast Asian Bull. Math. 38, (6), pp. 925-931.
UR  - https://dergipark.org.tr/en/pub/twmsjaem/issue//760938
L1  - https://dergipark.org.tr/en/download/article-file/1178837
ER  -