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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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2876673 |
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| author | K. A. Selvakumaran P. Rajaguru S. D. Purohit D. L. Suthar |
| author_facet | K. A. Selvakumaran P. Rajaguru S. D. Purohit D. L. Suthar |
| author_sort | K. A. Selvakumaran |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cdf15d8ed728472f8fad19a0ab0d93dd |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-cdf15d8ed728472f8fad19a0ab0d93dd2025-02-03T01:20:05ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2876673Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic DomainsK. A. Selvakumaran0P. Rajaguru1S. D. Purohit2D. L. Suthar3Department of MathematicsDepartment of MathematicsDepartment of HEAS (Mathematics)Department of MathematicsIn 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.http://dx.doi.org/10.1155/2022/2876673 |
| spellingShingle | K. A. Selvakumaran P. Rajaguru S. D. Purohit D. L. Suthar Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains Journal of Function Spaces |
| title | Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains |
| title_full | Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains |
| title_fullStr | Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains |
| title_full_unstemmed | Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains |
| title_short | Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains |
| title_sort | certain geometric properties of the canonical weierstrass product of an entire function associated with conic domains |
| url | http://dx.doi.org/10.1155/2022/2876673 |
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