On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta Functions
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives. In this study, we introduce some applications of the third-order differential subordinat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/5/845 |
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| author | Hiba Al-Janaby Firas Ghanim Maslina Darus |
| author_facet | Hiba Al-Janaby Firas Ghanim Maslina Darus |
| author_sort | Hiba Al-Janaby |
| collection | DOAJ |
| description | In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives. In this study, we introduce some applications of the third-order differential subordination for a newly defined linear operator that includes <inline-formula> <math display="inline"> <semantics> <mi>ξ</mi> </semantics> </math> </inline-formula>-Generalized-Hurwitz–Lerch Zeta functions (GHLZF). These outcomes are derived by investigating the appropriate classes of admissible functions. |
| first_indexed | 2024-03-10T19:38:17Z |
| format | Article |
| id | doaj.art-0db092fdd6794e9f9fb2be8551c8ef42 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:38:17Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-0db092fdd6794e9f9fb2be8551c8ef422023-11-20T01:28:22ZengMDPI AGMathematics2227-73902020-05-018584510.3390/math8050845On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta FunctionsHiba Al-Janaby0Firas Ghanim1Maslina Darus2Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, IraqDepartment of Mathematics, College of Science, University of Sharjah, Sharjah, UAEDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaIn the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives. In this study, we introduce some applications of the third-order differential subordination for a newly defined linear operator that includes <inline-formula> <math display="inline"> <semantics> <mi>ξ</mi> </semantics> </math> </inline-formula>-Generalized-Hurwitz–Lerch Zeta functions (GHLZF). These outcomes are derived by investigating the appropriate classes of admissible functions.https://www.mdpi.com/2227-7390/8/5/845holomorphic functionunivalent function<i>p</i>-valent functionconvolution product<i>ξ</i>-Generalized Hurwitz–Lerch Zeta functiondifferential subordination |
| spellingShingle | Hiba Al-Janaby Firas Ghanim Maslina Darus On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta Functions Mathematics holomorphic function univalent function <i>p</i>-valent function convolution product <i>ξ</i>-Generalized Hurwitz–Lerch Zeta function differential subordination |
| title | On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta Functions |
| title_full | On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta Functions |
| title_fullStr | On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta Functions |
| title_full_unstemmed | On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta Functions |
| title_short | On The Third-Order Complex Differential Inequalities of <i>ξ</i>-Generalized-Hurwitz–Lerch Zeta Functions |
| title_sort | on the third order complex differential inequalities of i ξ i generalized hurwitz lerch zeta functions |
| topic | holomorphic function univalent function <i>p</i>-valent function convolution product <i>ξ</i>-Generalized Hurwitz–Lerch Zeta function differential subordination |
| url | https://www.mdpi.com/2227-7390/8/5/845 |
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