Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1399
7
1
gregorian
2020
10
1
15
2
online
1
fulltext
en
On Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions
تخصصي
Special
پژوهشي
Research paper
The purpose of the present paper is to introduce and investigate two new subclasses 𝒦𝛴𝑚(𝜆,𝛾;𝛼) and 𝒦∗𝛴𝑚(𝜆,𝛾;𝛽) of 𝛴𝑚 consisting of analytic and 𝑚-fold symmetric bi-univalent functions defined in the open unit disk 𝑈. We obtain upper bounds for the coefficients |𝑎𝑚+1| and |𝑎𝑚| for functions belonging to these subclasses. Many of the well-known and new results are shown to follow as special cases of our results.
Analytic functions, Univalent functions, m-Fold symmetric bi-univalent functions, Coefficient estimates.
51
60
http://ijmsi.ir/browse.php?a_code=A-10-2676-2&slc_lang=en&sid=1
A
K. Wanas
abbas.kareem.w@qu.edu.iq
10031947532846008754
10031947532846008754
Yes
Department of Mathematics, College of Science, Baghdad University
A.
H. Majeed
abbas.alshareefi@yahoo.com
10031947532846008755
10031947532846008755
No
Department of Mathematics, College of Science, Baghdad University