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Subclasses of analytic functions associated with Pascal distribution series

Cilt: 4 Sayı: 2 30 Haziran 2020
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Subclasses of analytic functions associated with Pascal distribution series

Abstract

In the present paper, we determine necessary and sufficient conditions for the Pascal distribution series to be in the subclasses S(k,λ) and C(k,λ) of analytic functions. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

Keywords

Kaynakça

  1. References [1] R. M. El-Ashwah and W. Y Kota, Some condition on a Poisson distribution series to be in subclasses of univalent functions, Acta Universitatis Apulensis, No. 51/2017, pp. 89-103.
  2. [2] S.Çakmak, S.Yalç¬n, and ¸S. Alt¬nkaya, Some connections between various classes of analytic functions associated with the power series distribution, Sakarya Univ. J. Sci., 23(5)(2019), 982–985.
  3. [3] N. E. Cho, S. Y. Woo and S. Owa, Uniform convexity properties for hypergeometric functions, Fract. Cal. Appl. Anal., 5(3) (2002), 303–313.
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  6. [6] B.A. Frasin, On certain subclasses of analytic functions associated with Poisson distribution series, Acta Universitatis Sapientiae Mathematica 11, 1 (2019) 78–86.
  7. [7] B.A. Frasin, Tariq Al-Hawary and Feras Yousef, Necessary and su¢ cient conditions for hypergeometric functions to be in a subclass of analytic functions, Afrika Matematika, Volume 30, Issue 1–2, 2019, pp. 223–230.
  8. [8] B. A. Frasin and Ibtisam Aldawish, On subclasses of uniformly spirallike functions associated with generalized Bessel functions, Journal of Function Spaces, Volume 2019, Article ID 1329462, 6 pages.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2020

Gönderilme Tarihi

22 Şubat 2020

Kabul Tarihi

18 Nisan 2020

Yayımlandığı Sayı

Yıl 1970 Cilt: 4 Sayı: 2

Kaynak Göster

Cited By