On T-neighbourhoods of Harmonic Univalent Functions

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Atıf İçin Kopyala

Azizi S., Ebadian A., Yalcin S.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.43, sa.5, ss.2269-2273, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 43 Sayı: 5
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s40995-018-00673-2
• Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.2269-2273
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2019, Shiraz University.In this present paper, given a sequence T={Tn}n=2∞ consisting of positive numbers, we define the Tδ-neighbourhood of the function f= h+ g¯ ∈ H is defined as Nδ(f)={G(z):G(z)=z+∑n=2∞(Anzn+Bn¯zn¯),∑n=2∞Tn(|an-An|+|bn-Bn|)≤δ,δ≥0}.Furthermore, we investigate some problems concerning Tδ-neighbourhoods of functions in various classes of analytic functions. The results obtained here are sharp.