Research Article

Subclasses of analytic functions associated with Pascal distribution series

Volume: 4 Number: 2 June 30, 2020
EN

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

References

  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.
  4. [4] S. M. El-Deeb, T. Bulboac¼a and J. Dziok, Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Math. J. 59(2019), 301–314.
  5. [5] K.K. Dixit and S.K. Pal, On a class of univalent functions related to complex order, Indian J. Pure Appl. Math., 26(1995), no. 9, 889-896.
  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

February 22, 2020

Acceptance Date

April 18, 2020

Published in Issue

Year 1970 Volume: 4 Number: 2

Cited By