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02017nam a22002177a 4500 |
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1880155 |
| 041 |
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|a eng
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| 044 |
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|b ليبيا
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| 100 |
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|9 610266
|a Khaled, Aisha Ajwely
|e Author
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| 245 |
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|a On the Fekete-Szegӧ Theorem for the Generlized Owa-Srivastava Operator
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| 260 |
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|b جامعة المرقب - كلية التربية بالخمس
|c 2021
|g يناير
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| 300 |
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|a 694 - 704
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| 336 |
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|a بحوث ومقالات
|b Article
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| 520 |
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|b 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.
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| 653 |
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|a الرياضيات
|a الدوال العكسية
|a مصفوفة هانكل
|a معامل عدم المساواة
|a نظرية Fekete-Szegӧ
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| 692 |
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|b Fekete-Szego Inequality
|b Hankel Determinant
|b Fractional Derivative
|b Coefficient Inequality
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| 773 |
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|4 التربية والتعليم
|6 Education & Educational Research
|c 041
|l 018
|m ع18
|o 1568
|s مجلة التربوي
|t Educational Journal
|v 000
|x 2011-421X
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| 856 |
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|u 1568-000-018-041.pdf
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| 930 |
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|d y
|p y
|q n
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| 995 |
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|a EduSearch
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| 999 |
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|c 1137082
|d 1137082
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