We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
The Faber polynomial expansion method and its application to the general coeffcient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator.
- Authors
Srivastava, Hari Mohan; Khan, Shahid; Ahmad, Qazi Zahoor; Khan, Nazar; Hussain, Saqib
- Abstract
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain q-integral operator in the open unit disk U = {z : z ∊ Cand z < 1}. By applying the Faber polynomial expansion method as well as the q-analysis, we then determine bounds for the nth coefficient in the Taylor-Maclaurin series expansion for functions in each of these newly-defined analytic and bi-univalent function classes subject to a gap series condition. We also highlight some known consequences of our main results.
- Subjects
POLYNOMIALS; MATHEMATICAL functions; COEFFICIENTS (Statistics)
- Publication
Studia Universitatis Babeş-Bolyai, Mathematica, 2018, Vol 63, Issue 4, p419
- ISSN
0252-1938
- Publication type
Article
- DOI
10.24193/subbmath.2018.4.01