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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 70 Issue: 1

Some properties of a new class of analytic functions defined via Rodrigues formula

Halil Gezer(CYPRUS INTERNATIONAL UNIVERSITY)0000-0002-1248-989X
Cem Kaanoglu(CYPRUS INTERNATIONAL UNIVERSITY)0000-0001-7733-041X
Pages
—
Publication Date
2021-06-30
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AI Summary & Key Takeaways

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

Furthermore, the differential equations are given for the subclasses of this family of analytic functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce and study the new family of analytic functions via Rodrigues formula.
📊
Key Findings & Data:Some main properties, the generating function, various recurrence relations and differential properties of these functions are obtained.
💡
Conclusion & Impact:Furthermore, the differential equations are given for the subclasses of this family of analytic functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multiple Hermite polynomials · Rodrigues formula · generating function

Abstract

In this paper, we introduce and study the new family of analytic functions via Rodrigues formula. Some main properties, the generating function, various recurrence relations and differential properties of these functions are obtained. Furthermore, the differential equations are given for the subclasses of this family of analytic functions.

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Cite This Article

Gezer, H., Kaanoglu, C. (2021). Some properties of a new class of analytic functions defined via Rodrigues formula. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 1. https://doi.org/10.31801/cfsuasmas.726225

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