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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The Laguerre-P\'olya class of real entire functions plays a pivotal role in this investigation.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper we deal with the radii of starlikeness and convexity of the $q$-Mittag-Leffler function for three different kinds of normalization by making use of their Hadamard factorization in such a way that the resulting functions are analytic in the unit disk of the complex plane.
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Temel Bulgular & Veri:By applying Euler-Rayleigh inequalities for the first positive zeros of these functions tight lower and upper bounds for the radii of starlikeness of these functions are obtained.
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Sonuç & Katkı:The Laguerre-P\'olya class of real entire functions plays a pivotal role in this investigation.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$q$-Mittag-Leffler functions · univalent · starlike and convex functions
Abstract
In this paper we deal with the radii of starlikeness and convexity of the $q$-Mittag-Leffler function for three different kinds of normalization by making use of their Hadamard factorization in such a way that the resulting functions are analytic in the unit disk of the complex plane. By applying Euler-Rayleigh inequalities for the first positive zeros of these functions tight lower and upper bounds for the radii of starlikeness of these functions are obtained. The Laguerre-P\'olya class of real entire functions plays a pivotal role in this investigation.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
TOKLU, E. (2019). Radii of starlikeness and convexity of $q$-Mittag-Leffler functions. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2610–2630. https://ajindex.com/articles/204710