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Journals / Konuralp Journal of Mathematics / 2018 / Volume: 6 Issue: 2

Certain properties for spiral-like functions associated with Ruscheweyh-type q-difference operator

Raducanu Dorina(Faculty of Mathematics and Computer Science, Transilvania University of Brasov)0000-0003-2348-1874
Murugusundaramoorthy Gangadharan
Pages
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Publication Date
2018-10-15
DOI
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AI Summary & Key Takeaways

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

Further, some known and new results which follow as special cases of our results are also mentioned.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, making use of the Ruscheweyh- type $q$-difference operator $\mathcal{D}_q(\mathcal{R}_q^\alpha f(z))$ we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szeg\"{o} problem for this generalized function class.
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Key Findings & Data:In this paper, making use of the Ruscheweyh- type $q$-difference operator $\mathcal{D}_q(\mathcal{R}_q^\alpha f(z))$ we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szeg\"{o} problem for this generalized function class.
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Conclusion & Impact:Further, some known and new results which follow as special cases of our results are also mentioned.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Univalent functions · starlike functions · convex functions

Abstract

In this paper, making use of the Ruscheweyh- type $q$-difference operator $\mathcal{D}_q(\mathcal{R}_q^\alpha f(z))$ we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szeg\"{o} problem for this generalized function class. Further, some known and new results which follow as special cases of our results are also mentioned.

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Cite This Article

Dorina, R., Gangadharan, M. (2018). Certain properties for spiral-like functions associated with Ruscheweyh-type q-difference operator. Konuralp Journal of Mathematics, Volume: 6 Issue: 2. https://ajindex.com/articles/1521765

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