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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

A Subclass of Analytic Functions Associated with the Hurwitz-Lerch Zeta Function

Gangadharan MURUGUSUNDARAMOORTHY
Pages
265–272
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further we obtained distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class PT(λ, α, β).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Making use of a convolution operator involving the Hurwitz-Lerch Zeta function, we introduce a new class of analytic functions PT(λ, α, β) defined in the open unit disc, and investigate its various characteristics.
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Key Findings & Data:Making use of a convolution operator involving the Hurwitz-Lerch Zeta function, we introduce a new class of analytic functions PT(λ, α, β) defined in the open unit disc, and investigate its various characteristics.
💡
Conclusion & Impact:Further we obtained distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class PT(λ, α, β).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic · Univalent · Starlikeness

Abstract

Making use of a convolution operator involving the Hurwitz-Lerch Zeta function, we introduce a new class of analytic functions PT(λ, α, β) defined in the open unit disc, and investigate its various characteristics. Further we obtained distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class PT(λ, α, β).

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Cite This Article

MURUGUSUNDARAMOORTHY, G. (2022). A Subclass of Analytic Functions Associated with the Hurwitz-Lerch Zeta Function. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 265–272. https://ajindex.com/articles/530635

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