TY - JOUR
ID - 63470
TI - On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Mazi, Emeka
AU - Altinkaya, Şahsene
AD - Department of Mathematics, Faculty of Science, University of Ilorin, Nigeria
AD - Department of Mathematics, Faculty of Science, Uludag University, 16059,
Bursa, Turkey.
Y1 - 2018
PY - 2018
VL - 4
IS - 2
SP - 187
EP - 197
KW - Biunivalent functions
KW - coefficient bounds
KW - pseudo-starlike functions
KW - Fekete-Szegö functional estimates
KW - Taylor-Maclaurin coefficients
KW - subordination
DO - 10.22034/kjm.2018.63470
N2 - In this paper, we introduce a new subclass of biunivalent function class $Sigma$ in which both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric analytic functions. For functions of the subclass introduced in this paper, we obtain the coefficient bounds for $|a_{m+1}|$ and $|a_{2m+1}|$ and also study the Fekete-Szegö functional estimate for this class. Consequences of the results are also discussed.
UR - http://www.kjm-math.org/article_63470.html
L1 - http://www.kjm-math.org/article_63470_def95421626bd10dbaaaf7b380ff11dd.pdf
ER -