Nội dung được dịch bởi AI, chỉ mang tính chất tham khảo
Tập con của các hàm phân tích liên quan đến chuỗi phân phối Poisson
Tóm tắt
Trong bài báo này, chúng tôi tìm ra các điều kiện cần và đủ, cũng như các quan hệ bao hàm cho chuỗi phân phối Poisson
$${\mathcal {K}}(m,z)=z+\sum \nolimits _{n=2}^{\infty }\frac{m^{n-1}}{(n-1)!}e^{-m}z^{n}$$
huộc về một tập con
$$\mathcal {TS}(\lambda ,\alpha ,\beta )$$
của các hàm phân tích với các hệ số âm. Hơn nữa, chúng tôi xem xét toán tử tích phân
$$\mathcal { G(}m,z{)=}\int _{0}^{z}\frac{{\mathcal {F}}(m,t)}{t}dt$$
huộc về lớp hàm trên.
Từ khóa
#chuỗi phân phối Poisson #hàm phân tích #hệ số âm #toán tử tích phânTài liệu tham khảo
Al-Amiri, H.S.: On a subclass of close-to-convex functions with negative coefficients. Math. Tome 31(1)(54), 1–7 (1989)
Bharati, R., Parvatham, R., Swaminathan, A.: On subclasses of uniformly convex functions and corresponding class of starlike functions. Tamkang J. Math. 28(1), 17–32 (1997)
Cho, N.E., Woo, S.Y., Owa, S.: Uniform convexity properties for hypergeometric functions. Fract. Cal. Appl. Anal. 5(3), 303–313 (2002)
Dixit, K.K., Pal, S.K.: On a class of univalent functions related to complex order. Indian J. Pure Appl. Math. 9(26), 889–896 (1995)
El-Ashwah, R.M., Kota, W.Y.: Some condition on a Poisson distribution series to be in subclasses of univalent functions. Acta Univers Apulensis 51, 89–103 (2017)
Frasin, B.A.: On certain subclasses of analytic functions associated with Poisson distribution series. Acta. Univ. Sapientiae Math. 11(1), 78–86 (2019)
Gupta, V.P., Jain, P.K.: Certain classes univalent analytic functions with negative coefficients II. Bull. Austral. Math. Soc. 15, 467–473 (1976)
Magesh, N., Prameela, V.: Certain subclasses of uniformly convex functions and corresponding class of starlike functions. Malaya J. Matematik 1(1), 18–26 (2013)
Merkes, E., Scott, B.T.: Starlike hypergeometric functions. Proc. Am. Math. Soc. 12, 885–888 (1961)
Murugusundaramoorthy, G.: Parabolic starlike and uniformly convex functions associated with Poisson distribution series. Bulletin of the Transilvania University of Braşov, 2(10)(59), 91–100 (2017)
Murugusundaramoorthy, G.: Subclasses of starlike and convex functions involving Poisson distribution series. Afr. Mat. 28, 1357–1366 (2017)
Murugusundaramoorthy, G., Vijaya, K., Porwal, S.: Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series. Hacettepe J. Math. Stat. 4(45), 1101–1107 (2016)
Rosy, T.: Study on subclasses of univalent functions. University of Madras, Thesis (2002)
Sarangi, S.M., Uralegaddi, B.A.: The radius of convexity and starlikeness of certain classes of analytic functions with negative coefficients I. Atti. Accad. Naz. Lincei rend. Cl. Sci. Fis. Mat. Natur. 65(8), 34–42 (1978)
Porwal, S.: An application of a Poisson distribution series on certain analytic functions. J. Complex Anal. Art. ID 984135, 1–3 (2014)
Porwal, S.: Mapping properties of generalized Bessel functions on some subclasses of univalent functions. Anal. Univ. Oradea Fasc. Matematica 20(2), 51–60 (2013)
Porwal, S., Kumar, M.: A unified study on starlike and convexfunctions associated with Poisson distribution series. Afr. Mat.27(5) (2016)
Porwal, S., Kumar, M.: A unified study on starlike and convexfunctions associated with Poisson distribution series. Stud. Univ. Babeş-Bolyai Math. 63(1), 71–78 (2018)
Silverman, H.: Univalent functions with negative coefficients. Proc. Am. Math. Soc. 51, 109–116 (1975)
Silverman, H.: Starlike and convexity properties for hypergeometric functions. J. Math. Anal. Appl. 172, 574–581 (1993)
Srivastava, H.M., Murugusundaramoorthy, G., Sivasubramanian, S.: Hypergeometric functions in the parabolic starlike and uniformly convex domains. Integr. Transf. Spec. Func. 18, 511–520 (2007)
Stephand, B.A., Subramanian, K.G.: On a subclass of Noshiro-Type analytic functions with negative coefficients. Conference Proceedings of Ramanujan Mathematical Society (1998)
Subramanian, K.G., Sudharsan, T.V., Balasubrahmanyam, P., Silverman, H.: Class of uniformly starlike functions. Publ. Math. Debercen. 53(4), 309–315 (1998)
Subramanian, K.G., Murugusundaramoorthy, G., Balasubrahmanyam, P., Silverman, H.: Subclasses of uniformly convex and uniformly starlike functions. Math. Japonica 42(3), 517–522 (1995)