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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MDPI AG
2025-05-01
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| Series: | Mathematics |
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| author | Narjes Alabkary Saiful R. Mondal |
| author_facet | Narjes Alabkary Saiful R. Mondal |
| author_sort | Narjes Alabkary |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3bb72b72aada423cbf8236a1a2e282e6 |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-3bb72b72aada423cbf8236a1a2e282e62025-08-20T02:33:47ZengMDPI AGMathematics2227-73902025-05-011310156610.3390/math13101566On Spirallikeness of Entire FunctionsNarjes Alabkary0Saiful R. Mondal1Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi ArabiaIn 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.https://www.mdpi.com/2227-7390/13/10/1566γ-Spirallikenessentire functionsBessel functionsStruve functionsLommel functionsWright functions |
| spellingShingle | Narjes Alabkary Saiful R. Mondal On Spirallikeness of Entire Functions Mathematics γ-Spirallikeness entire functions Bessel functions Struve functions Lommel functions Wright functions |
| title | On Spirallikeness of Entire Functions |
| title_full | On Spirallikeness of Entire Functions |
| title_fullStr | On Spirallikeness of Entire Functions |
| title_full_unstemmed | On Spirallikeness of Entire Functions |
| title_short | On Spirallikeness of Entire Functions |
| title_sort | on spirallikeness of entire functions |
| topic | γ-Spirallikeness entire functions Bessel functions Struve functions Lommel functions Wright functions |
| url | https://www.mdpi.com/2227-7390/13/10/1566 |
| work_keys_str_mv | AT narjesalabkary onspirallikenessofentirefunctions AT saifulrmondal onspirallikenessofentirefunctions |