An application of the power series distribution for univalent function classes with positive coefficients

Gangadharan, Murugusundaramoorthy; Yalçın, Sibel; Yaşar, Elif; Çakmak, Serkan

doi:10.22075/ijnaa.2022.22768.2414

اداره چاپ و انتشارات دانشگاه سمنان

تعداد نشریات	21
تعداد شماره‌ها	610
تعداد مقالات	9,028
تعداد مشاهده مقاله	67,082,901
تعداد دریافت فایل اصل مقاله	7,656,366

	An application of the power series distribution for univalent function classes with positive coefficients
International Journal of Nonlinear Analysis and Applications
مقاله 24، دوره 14، شماره 5، مرداد 2023، صفحه 259-265 اصل مقاله (373.7 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.22768.2414
نویسندگان
Murugusundaramoorthy Gangadharan¹؛ Sibel Yalçın^* ²؛ Elif Yaşar²؛ Serkan Çakmak³
¹School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India
²Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Bursa, Turkey
³Istanbul Gelisim University, Istanbul, Turkey
تاریخ دریافت: 06 اسفند 1399، تاریخ پذیرش: 31 فروردین 1400
چکیده
The primary motivation of the paper is to give necessary and sufficient condition for the power series distribution (Pascal model) to be in the subclasses $\mathcal{VS}_{p}\left( \vartheta ,\gamma ,\kappa \right) $ and $\mathcal{VC}_p(\vartheta ,\gamma ,\kappa )$ of analytic functions. Further, to obtain certain connections between the Pascal distribution series and subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution.
کلیدواژه‌ها
Analytic functions؛ univalent functions؛ power series distribution

مراجع
[1] S¸. Altınkaya and S. Yal¸cın, Poisson distribution series for certain subclasses of starlike functions with negative coefficients, An. Univ. Oradea Fasc. Mat. 24 (2017), no. 2, 5–8. [2] S¸. Altınkaya and S. Yal¸cın, Poisson distribution series for analytic univalent functions, Complex Anal. Oper. Theory 12 (2018), no. 5, 1315–1319. [3] T. Bulboaca and G. Murugusundaramoorthy, Univalent functions with positive coefficients involving Pascal distribution series, Commun. Korean Math. Soc. 35 (2020), no. 3, 867—877. [4] S. M. El-Deeb, T. Bulboaca and J. Dziok, Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Math. J. 59 (2019), no. 2, 301–314. [5] S. Kanas and A. Wisniowska, Conic regions and k-uniformly starlike functions, Rev. Roumaine Math. Pures Appl. 45 (2000), 647–657. [6] G. Murugusundaramoorthy, Univalent functions with positive coefficients involving Poisson distribution series, Honam Math. J. 40 (2018), no. 3, 529–538. [7] W. Nazeer, Q. Mehmood, S.M. Kang and A.U. Haq, An application of Binomial distribution series on certain analytic functions, J. Comput. Anal. Appl. 26 (2019), 11–17. [8] S. Porwal, An application of a Poisson distribution series on certain analytic functions, J. Complex Anal. 2014 (2014), Art. ID 984135, 1–3. [9] S. Porwal and K.K. Dixit, An application of certain convolution operator involving hypergeometric functions, J. Rajasthan Acad. Phys. Sci. 9 (2010), no. 2, 173–186. [10] A. Swaminathan, Certain sufficient conditions on Gaussian hypergeometric functions, JIPAM. J. Inequal. Pure Appl. Math. 5 (2004), no. 4, 1–10. [11] B.A. Uralegaddi, M.D. Ganigi and S.M. Sarangi, Univalent functions with positive coefficients, Tamkang J. Math. 25 (1994), 225–230.
آمار تعداد مشاهده مقاله: 16,501 تعداد دریافت فایل اصل مقاله: 495

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب

پیوندهای مفید

پیوندهای مفید

آمار

An application of the power series distribution for univalent function classes with positive coefficients