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
- 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] 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), 982985.
- [3] N. E. Cho, S. Y. Woo and S. Owa, Uniform convexity properties for hypergeometric functions, Fract. Cal. Appl. Anal., 5(3) (2002), 303313.
- [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), 301314.
- [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] B.A. Frasin, On certain subclasses of analytic functions associated with Poisson distribution series, Acta Universitatis Sapientiae Mathematica 11, 1 (2019) 7886.
- [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 12, 2019, pp. 223230.
- [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
Authors
Publication Date
June 30, 2020
Submission Date
February 22, 2020
Acceptance Date
April 18, 2020
Published in Issue
Year 1970 Volume: 4 Number: 2
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