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Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 6

On certain subclasses of starlike and convex functions associated with Pascal distribution series

Bilal ŞEKER
Sevtap SÜMER EKER
Sayfa
1982–1989
Yayın Tarihi
2022-11-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, we introduced a new power series whose coefficients are probabilities of the Pascal distribution.
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Temel Bulgular & Veri:We investigated new approaches between the Pascal distribution series and some subclasses of normalized analytic functions.
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Sonuç & Katkı:Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this article, we introduced a new power series whose coefficients are probabilities of the Pascal distribution. We investigated new approaches between the Pascal distribution series and some subclasses of normalized analytic functions. Also, we defined some mappings containing these functions the Alexander type integral operator. Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.

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Bu Makaleye Atıf Yap

ŞEKER, B., EKER, S. S. (2022). On certain subclasses of starlike and convex functions associated with Pascal distribution series. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 6, 1982–1989. https://ajindex.com/articles/607477

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Kaynakça (10)

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  2. Çakmak S, Yalçın S, Altınkaya Ş.Some connections between various classes of analytic functions associated with the power series distribution. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 2019; 23 (5): 982-985
  3. El-Deeb SM, Bulboacă T, Dziok J. Pascal distribution series connected with certain subclasses of univalent functions. Kyungpook Mathematical Journal 2019; 59 (2): 301-314
  4. Duren PL. Univalent Functions. Grundlehren der mathematischen Wissenschaften 259. New York, NY, USA: Springer-Verlag, 1983
  5. Murugusundaramoorthy G, Vijaya K, Porwal S. Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series. Hacettepe Journal of Mathematics and Statistics 2016; 45 (4): 1101- 1107
  6. Murugusundaramoorthy G. Subclasses of starlike and convex functions involving Poisson distribution series. Afrika Matematika 2017; 28: 1357-1366
  7. Nazeer W, Mehmood Q, Kang SM, Haq AU. An application of Binomial distribution series on certain analytic functions. Journal of Computational Analysis and Applications 2019; 26 (1): 11-17
  8. Porwal S. An application of a Poisson distribution series on certain analytic functions. Journal of Complex Analysis 2014; 1-3
  9. Porwal S, Kumar M. A unified study on starlike and convex functions associated with Poisson distribution series. Afrika Matematika 2016; 27 (5-6): 1021-1027
  10. T. Thulasiram, K. Suchithra, T. Sudharsan and G. Murugusundaramoorthy, Some inclusion results associated with certain subclass of analytic functions inolving Hohlov operator. Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales. Seria A. Matematicas RACSAM 2014; 108 (2): 711-720. doi: 10.1007/s13398-013-0135-5