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A new subclass of analytic functions involving Pascal distribution series | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 254، دوره 13، شماره 1، خرداد 2022، صفحه 3141-3152 اصل مقاله (423.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21109.2231 | ||
| نویسندگان | ||
| Venkateswarlu Bolineni* 1؛ Thirupathi Reddy P2؛ Sujatha Vaishnavy1؛ S. Sridevi1 | ||
| 1Department of Mathematics, GSS, GITAM University, Doddaballapur-562 163, Bengaluru Rural, Karnataka, India | ||
| 2Department of Mathematics, Kakatiya Univeristy, Warangal-506 009, Telangana, India | ||
| تاریخ دریافت: 25 مرداد 1399، تاریخ پذیرش: 23 فروردین 1400 | ||
| چکیده | ||
| In this work, we introduce and investigate a new class $ k- \widetilde{ U}ST_s (q , m , \gamma, \varsigma )$ of analytic functions in the open unit disc $U$ with negative coefficients. The aim of this study is to determine coefficient estimates, neighborhoods and partial sums for functions $u$ belonging to this class. | ||
| کلیدواژه‌ها | ||
| analytic؛ starlike؛ coefficient estimate؛ neighborhood؛ partial sums | ||
| مراجع | ||
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[1] E. Aqlan, J.M. Jhangiri and S.R. Kulkarni, Classes of k−uniformly convex and starlike functions, Tamkang J. Math. 35 (2004) 1–7. [2] N.E. Cho, S.Y. Woo and S. Owa, Uniform convexity properties for hypergeometric functions, Fract. Calc. Appl. Anal. 5(3) (2002) 303–313. [3] L. De Branges, A proof of the Bieberbach conjecture, Acta Math. 154(1-2) (1985) 137–152. [4] S.M. El-Deeb, T. Bulboaca and J. Dziok, Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Math. J. 59 (2) (2019) 301–314. [5] A.W. Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc. 8 (1957), 598–601. [6] A.W. Goodman, On uniformly starlike functions, J. Math. Anal. Appl. 155 (1991) 364–370. [7] E.P. Merkes and W.T. Scott, Starlike hypergeometric functions, Proc. Amer. Math. Soc. 12 (1961) 885–888. [8] A.O. Mostafa, A study on starlike and convex properties for hypergeometric functions, J. Inequal. Pure Appl. Math. 10(3) (2009) Article 87, 8 pp. [9] G. Murugusundaramoorthy, Subclasses of starlike and convex functions involving Poisson distribution series, Afr. Mat. 28(7-8) (2017) 1357–1366. [10] G. Murugusundaramoorthy, K. Vijaya and S. Porwal, Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series, Hacet. J. Math. Stat. 45(4) (2016) 1101–1107. [11] S. Owa, T. Sekine and R. Yamakawa, On Sakaguchi type functions, Appl. Math. Comput. 187 (2007) 356–361. [12] F. Ronning, Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc. 118 (1993) 189–196. [14] K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan, 11 (1959), 72–75. [15] H. Silverman, Starlike and convexity properties for hypergeometric functions, J. Math. Anal. Appl. 172(2) (1993) 574–581. [16] H. Silverman, Partial sums of starlike and convex functions, J. Anal. Appl. 209 (1997) 221–227. [17] E.M. Silvia, Partial sums of convex functions of order R, Houston J. Math. 11(3) (1985) 397–404. [18] H.M. Srivastava, G. Murugusundaramoorthy and S. Sivasubramanian, Hypergeometric functions in the parabolic starlike and uniformly convex domains, Integral Transforms Spec. Funct. 18(7-8) (2007) 511–520. [19] P. Thirupathi Reddy and B. Venkateswarlu, New subclass of analytic functions involving Hurwitz Lerch zeta functions, Int. J. Math. Comput. 31(1) (2020) 76–83 | ||
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