On Spirallikeness of Entire Functions
In this article, we establish conditions under which certain entire functions represented as infinite products of their positive zeros are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></sem...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-05-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/10/1566 |
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| Summary: | In this article, we establish conditions under which certain entire functions represented as infinite products of their positive zeros are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-spirallike of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">cos</mo><mo>(</mo><mi>α</mi><mo>)</mo><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>. The discussion includes several examples featuring special functions such as Bessel, Struve, Lommel, and <i>q</i>-Bessel functions. |
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| ISSN: | 2227-7390 |