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

Applications of k-Fibonacci numbers for the starlike analytic functions

Janusz SOKOL
Ravinder Krishna RAINA
Nihal ÖZGÜR YILMAZ
Sayfa
121–127
Yayın Tarihi
2022-10-18
DOI
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An application for inverse functions is also given. 2000 AMS Classification: Primary 30C45, secondary 30C80

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:An application for inverse functions is also given. 2000 AMS Classification: Primary 30C45, secondary 30C80
🔬Tür:Araştırma Makalesi
📍Kapsam:2000 Verileri
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (5)

  1. M. Fekete, G. Szegö, Eine Bemerung über ungerade schlichte Functionen, J. Lond. Math. Soc. 8(1933) 85–89
  2. C. Pommerenke, Univalent Functions, in: Studia Mathematica Mathematische Lehrbucher, Vandenhoeck and Ruprecht, 1975
  3. J. Sokół, On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis 175(23)(1999), 111–116
  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.