An Application Of The Power Series Distribution For Univalent Function Classes With Positive Coefficients

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Gangadharan M., Yalçın Tokgöz S., Yaşar E., Çakmak S.

International Journal of Nonlinear Analysis and Applications, cilt.14, sa.5, ss.259-265, 2023 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 14 Sayı: 5
• Basım Tarihi: 2023
• Doi Numarası: 10.22075/ijnaa.2022.22768.2414
• Dergi Adı: International Journal of Nonlinear Analysis and Applications
• Derginin Tarandığı İndeksler: MathSciNet, zbMATH
• Sayfa Sayıları: ss.259-265
• İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

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 VSp (ϑ, γ, κ) and VCp(ϑ, γ, κ) 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.