A study of sharp coefficient bounds for a new subfamily of starlike functions
In this article, by employing the hyperbolic tangent function tanh z , a subfamily S tanh ∗ of starlike functions in the open unit disk D ⊂ C : D = { z : z ∈ C and | z | < 1 } is introduced and investigated. The main contribution of this article includes derivations of sharp inequalities involv...
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| Vydáno v: | Journal of inequalities and applications Ročník 2021; číslo 1; s. 1 - 20 |
|---|---|
| Hlavní autoři: | , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Cham
Springer International Publishing
17.12.2021
Springer Nature B.V SpringerOpen |
| Témata: | |
| ISSN: | 1029-242X, 1025-5834, 1029-242X |
| On-line přístup: | Získat plný text |
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| Shrnutí: | In this article, by employing the hyperbolic tangent function tanh
z
, a subfamily
S
tanh
∗
of starlike functions in the open unit disk
D
⊂
C
:
D
=
{
z
:
z
∈
C
and
|
z
|
<
1
}
is introduced and investigated. The main contribution of this article includes derivations of sharp inequalities involving the Taylor–Maclaurin coefficients for functions belonging to the class
S
tanh
∗
of starlike functions in
D
. In particular, the bounds of the first three Taylor–Maclaurin coefficients, the estimates of the Fekete–Szegö type functionals, and the estimates of the second- and third-order Hankel determinants are the main problems that are proposed to be studied here. |
|---|---|
| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1029-242X 1025-5834 1029-242X |
| DOI: | 10.1186/s13660-021-02729-1 |