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Horadam polynomials for a new family of λ-pseudo bi-univalent functions associated with Sakaguchi type functions
In the present article, we introduce and study a new family F Σ ( δ , λ , m , n , r ) of normalized analytic and bi-univalent functions associating λ -pseudo functions with Sakaguchi type functions by using the Horadam polynomials. We obtain upper bounds for the initial Taylor–Maclaurin coefficients...
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Published in: | Afrika mathematica 2021-09, Vol.32 (5-6), p.879-889 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | In the present article, we introduce and study a new family
F
Σ
(
δ
,
λ
,
m
,
n
,
r
)
of normalized analytic and bi-univalent functions associating
λ
-pseudo functions with Sakaguchi type functions by using the Horadam polynomials. We obtain upper bounds for the initial Taylor–Maclaurin coefficients
|
a
2
|
and
|
a
3
|
. Further we obtain the Fekete–Szegö inequality for functions in the family
F
Σ
(
δ
,
λ
,
m
,
n
,
r
)
which we have introduced here. We also indicate several certain special cases and consequences for our results. |
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ISSN: | 1012-9405 2190-7668 |
DOI: | 10.1007/s13370-020-00867-1 |