TY - JOUR
ID - 708512
TI - Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with $(\mathcal {P,Q})-$Lucas Polynomial
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Muthaiyan, Elumalai
AD - Department of Mathematics, St. Joseph's Institute of Technology, OMR, Chennai - 600 119, Tamilnadu, India.
Y1 - 2024
PY - 2024
VL - 21
IS - 1
SP - 273
EP - 289
KW - Analytic functions
KW - Univalent functions
KW - Bi-univalent functions
KW - Bi-starlike and bi-convex functions
KW - Hohlov operator
KW - Gaussian hypergeometric function
KW - (P
KW - Q)-Lucas polynomial
DO - 10.22130/scma.2023.1990927.1270
N2 - On this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated. These subclasses are connected to the Hohlov operator with $(\mathcal {P,Q})-$Lucas polynomial and meet subordinate criteria. For functions in these new subclasses, we also get estimates for the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$. The results are also discussed as having a number of (old or new) repercussions.
UR - https://scma.maragheh.ac.ir/article_708512.html
L1 - https://scma.maragheh.ac.ir/article_708512_d0bc413973badfe7c3179e93d89278a0.pdf
ER -