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Bounds for Poisson and neutrosophic Poisson distributions associated with Chebyshev polynomials. (English) Zbl 1457.30005

Summary: The paper investigates Poisson and neutrosophic Poisson distribution series. The first few coefficient bounds for Poisson distribution whose parameter takes a definite and determined values were studied, while coefficient bounds for neutrosophic Poisson distribution whose parameter takes undetermined values or inaccurate statistical data were investigated. Examples to demonstrate our argument for neutrosophic Poisson distribution were provided.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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[1] Al-Shaqsi, K and Darus M.An operator defined by convolution involving the polylogarithms functions, Journal of Mathematics and Statistics, 4 (1) (2008), 46-50. · Zbl 1155.30303
[2] Bulut S. and Magesh N.On the sharp bounds for a comprehensive class of analytic and univalent functions by means of Chebyshev polynomialss, Khayyam J. Math. 2 (2016), no. 2, 194-200 DOI: 10.22034/kjm.2017.43707. · Zbl 1364.30019
[3] Divesh Srivastava and Saurabh PorwalSome sufficient conditions for Poisson distribution series associated with conic regionsInternational Journal of Advanced Technology in Engineering Science, Volume No 03, Special Issue No 01, March (2015), 229-236.
[4] El-Ashwah, R. - Kanas, S.:Fekete - Szego inequalities for quasi-subordination functions classes of complex order, Kyungpook Math.J. 55(2005), 679 - 688. · Zbl 1330.30020
[5] Fadipe-Joseph, O.A., Kadir, B.B, Akinwumi, S.E. and Adeniran, E.O.Polynomial bounds for a class of univalent function involving sigmoid function, Khayyam J. Math., 4 (2018), no. 1, 88-101, DOI: 10.22034/kjm.2018.57721 · Zbl 1412.30038
[6] Haji Mohd, M - Darius, M.Fekete - Sego problems for quasi-subordination classes, Abstr. Appl. Anal. 2012, Article ID 192956,14 pp. · Zbl 1267.30047
[7] Jahangiri, J.M., Ramachandran, C. Annamalai, S.Fekete-Szego problem for certain analytic functions defined by hypergeometric functions and Jacobi polynomialsJournal of Fractional Calculus and Applications, Vol. 9(1), (2018), 1-7. · Zbl 1488.30082
[8] Murugusundaramoorthy, G. Vijaya, K. and Porwal S.Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series, Hacettepe Unit Bulletin of Natural Sciences and Engineering Series B. Mathematics and Statistics (2016), 1-6. Doi:101567241HJMS20164513110. · Zbl 1359.30022
[9] Porwal, S.An application of a Poisson distribution series on certain analytic functions, Journal of Complex Analysis, Volume 2014, Article ID 984135 http://dx.doi.org/10.1155/2014/984135, pp3. · Zbl 1310.30017
[10] Rafif Alhabib, Moustafa Mzher Ranna, Haitham Farah and Salama, A.A.Some neutrosophic probability distributions. Neutrosophic Sets and Systems, Vol. 22, (2018), 30-37.
[11] Sahsene Altinkaya and Sibel YalcinOn the Chebyshev polynomial bounds for classes of univalent functions, Khayyam J. Math. 2 (2016), no. 1, 1-5 DOI: 10.22034/kjm.2016.13993. · Zbl 1364.30018
[12] Saurabh Porwal and Divesh SrivastavaSome connections between various subclasses of planar harmonic mappings involving Poisson distribution series, Electronic Journal of Mathematical Analysis and Applications, Vol.
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