Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains

Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains

In this paper, we determine the radius of λ-uniform convexity, λ-starlikeness, and α-convexity of order δ for the Weierstrass canonical product of an entire function as a root having smallest modulus and argument ϕ of a functional equation. As special cases, we also determine the radius of λ-uniform...

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Veröffentlicht in:Journal of function spaces 2022-09, Vol.2022, p.1-7
Hauptverfasser: Selvakumaran, K. A., Rajaguru, P., Purohit, S. D., Suthar, D. L.
Format: Artikel
Sprache:eng
Schlagworte:
Convexity
Entire functions
Functional equations
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Zusammenfassung:In this paper, we determine the radius of λ-uniform convexity, λ-starlikeness, and α-convexity of order δ for the Weierstrass canonical product of an entire function as a root having smallest modulus and argument ϕ of a functional equation. As special cases, we also determine the radius of λ-uniform convexity, λ-starlikeness, and α-convexity of order δ for the entire function 1/Γ.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/2876673