Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 1

Applications of k-Fibonacci numbers for the starlike analytic functions

Pages
121–127
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

An application for inverse functions is also given. 2000 AMS Classification: Primary 30C45, secondary 30C80

📌 3 Key Takeaways

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Objective & Hypothesis:The k-Fibonacci numbers Fk,n (k > 0), defined recursively by Fk,0 = 0,Fk,1 = 1 and Fk,n = kFk,n + Fk,n−1 for n ≥ 1 are used to define a new class SLk.
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Key Findings & Data:The purpose of this paper is to apply properties of k-Fibonacci numbers to consider the classical problem of estimation of the Fekete Szegö problem for the class SLk.
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Conclusion & Impact:An application for inverse functions is also given. 2000 AMS Classification: Primary 30C45, secondary 30C80
🔬Design:Research Article
📍Scope:2000 Verileri
⚙️Variables:Domain Parameters

Abstract

The k-Fibonacci numbers Fk,n (k > 0), defined recursively by Fk,0 = 0,Fk,1 = 1 and Fk,n = kFk,n + Fk,n−1 for n ≥ 1 are used to define a new class SLk. The purpose of this paper is to apply properties of k-Fibonacci numbers to consider the classical problem of estimation of the Fekete Szegö problem for the class SLk. An application for inverse functions is also given. 2000 AMS Classification: Primary 30C45, secondary 30C80

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Cite This Article

SOKOL, J., RAINA, R. K., YILMAZ, N. Ö. (2022). Applications of k-Fibonacci numbers for the starlike analytic functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 121–127. https://ajindex.com/articles/530334

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References (5)

  1. M. Fekete, G. Szegö, Eine Bemerung über ungerade schlichte Functionen, J. Lond. Math. Soc. 8(1933) 85–89
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  4. J. Sokół, Remarks on shell-like functions, Folia Scient. Univ. Tech. Resoviensis 181(24)(2000), 111–115
  5. N. Yilmaz Özgür, J. Sokół, On starlike functions connected with k-Fibonacci numbers, Bull. Malaysian Math. Sci. Soc. 38(1)(2015), 249-258.