The Yamaguchi–Noshiro Type of Bi-Univalent Functions Connected with the Linear q-Convolution Operator

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Breaz D., El-Deeb S. M., Aydoğan S. M., Sakar F. M.

Mathematics, cilt.11, sa.15, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 15
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/math11153363
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: analytic functions, bi-univalent functions, coefficient bounds, convolution, fractional derivatives, univalent functions
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In the present paper, the authors introduce and investigate two new subclasses of the function class (Formula presented.) of bi-univalent analytic functions in an open unit disk (Formula presented.) connected with a linear q-convolution operator. The bounds on the coefficients (Formula presented.) and (Formula presented.) for the functions in these new subclasses of (Formula presented.) are obtained. Relevant connections of the results presented here with those obtained in earlier work are also pointed out.