TY  - JOUR
T1  - New applications in third-order strong differential subordination theory
AU  - Oros, Georgia Irina
AU  - Preluca, Lavinia Florina
PY  - 2024
DA  - December
Y2  - 2024
DO  - 10.31801/cfsuasmas.1475919
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 918
EP  - 928
VL  - 73
IS  - 4
LA  - en
AB  - The research conducted in this investigation focuses on extending known results from the second-order differential subordination theory for the special case of third-order strong differential subordination. This paper intends to facilitate the development of new results in this theory by showing how specific lemmas used as tools in classical second-order differential subordination theory are adapted for the context of third-order strong differential subordination. Two theorems proved in this study extend two familiar lemmas due to D.J. Hallenbeck and S. Ruscheweyh, and G.M. Goluzin, respectively. A numerical example illustrates applications of the new results but the theorems are hoped to become helpful tools in generating new outcome for this very recently initiated line of research concerning third-order strong differential subordination.
KW  - Analytic function
KW  - convex function
KW  - third-order strong differential
subordination
KW  - best dominant
KW  - univalent function
KW  - admissibility condition
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UR  - https://doi.org/10.31801/cfsuasmas.1475919
L1  - https://dergipark.org.tr/en/download/article-file/3895178
ER  -