On the Fekete-Szegӧ Theorem for the Generlized Owa-Srivastava Operator
| المصدر: | مجلة التربوي |
|---|---|
| الناشر: | جامعة المرقب - كلية التربية بالخمس |
| المؤلف الرئيسي: | Khaled, Aisha Ajwely (Author) |
| المجلد/العدد: | ع18 |
| محكمة: | نعم |
| الدولة: |
ليبيا |
| التاريخ الميلادي: |
2021
|
| الشهر: | يناير |
| الصفحات: | 694 - 704 |
| ISSN: |
2011-421X |
| رقم MD: | 1137082 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EduSearch |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Fekete-Szego Inequality | Hankel Determinant | Fractional Derivative | Coefficient Inequality
|
| رابط المحتوى: |
| المستخلص: |
Let 𝒜0 denotes the class of analytic functions defined by (𝑧) = 𝑧 + Σ 𝑎𝑛 ∞ 𝑛= 2 𝑧𝑛 and 𝑧 belongs to the open unit disk 𝕌 = {𝑧: |𝑧| < 1}. The sharp bound is obtained for the coefficient functional |𝑎3 − 𝜇𝑎2 2 |, where 𝜇 ∈ ℂ or ℝ and 𝑎2, 𝑎3 are respectively the second and the third coefficient for 𝑓 belonging to a certain subclass ℛ𝛼, 𝛽 (𝜆, 𝜌) defined by a fractional operator. By specializing the parameters 𝛼, 𝛽, 𝜆 and 𝜌, many consequence results are obtained. Further, an improvement for the estimation of |𝑎3 − 𝜇𝑎2 2 | is investigated by dividing the intervals of 𝜇 ∈ ℝ . In addition, sharp estimates for the first few coefficients of the inverse functions of ℛ𝛼, 𝛽 (𝜆, 𝜌) are derived. |
|---|---|
| ISSN: |
2011-421X |
عناصر مشابهة
-
Relation Between Hankel and Toeplitz Operators On Hilbert Space
بواسطة: Rashed, Sara Mohamed Younis منشور: (2018) -
Neighborhoods of Multivalent Functions Involving Cho-KwonSrivastava Operator
بواسطة: Ahmed, Abdusalam R. منشور: (2021) -
Fekete-Szegö Inequality for Certain Subclass of Analytic Functions
بواسطة: Amer, Aisha Ahmed منشور: (2017) -
Fekete-Szegö Inequalities for Certain subclasses of p-Valent Functions of Complex Order Associated with Fractional Derivative Operator
بواسطة: Amsheri, Somia Muftah منشور: (2019) -
Fekete -Szego Problem for Starlike of Complex Functions of Order Related to Generalized Derivative Operator
بواسطة: Alsait, Amera Agela منشور: (2019)
