Bi-Starlike Function of Complex Order Involving Mathieu-Type Series in the Shell-Shaped Region

Bi-Starlike Function of Complex Order Involving Mathieu-Type Series in the Shell-Shaped Region

For functions of the form ϕ(ξ)=ξ+∑n=2∞cnξn, we identified two new subclasses of bi-starlike functions and bi-convex functions by using Mathieu-type series defined in the disc Δ={ξ∈C:|ξ|

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Veröffentlicht in:Axioms 2024-11, Vol.13 (11), p.747
Hauptverfasser: Elshazly, Ibrahim S., Murugusundaramoorthy, Gangadharan, Halouani, Borhen, El-Qadeem, Alaa H., Vijaya, Kaliappan
Format: Artikel
Sprache:eng
Schlagworte:
analytic
bi-convex
bi-starlike
bi-univalent
coefficients bounds
Convex analysis
Functional equations
Functionals
Functions
Mathematical research
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Zusammenfassung:For functions of the form ϕ(ξ)=ξ+∑n=2∞cnξn, we identified two new subclasses of bi-starlike functions and bi-convex functions by using Mathieu-type series defined in the disc Δ={ξ∈C:|ξ|
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13110747