Certain Geometric Properties Of Modified Lommel Functions

Creative Commons License

Din M. U., Yalçın Tokgöz S.

HONAM MATHEMATICAL JOURNAL, cilt.42, sa.4, ss.719-732, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5831/hmj.2020.42.4.719
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.719-732
  • Anahtar Kelimeler: Analytic functions, Modified Lommel fiuctions, Closeto-convexity, Starlikeness, CLOSE-TO-CONVEXITY
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this article, we find some sufficient conditions under which the modified Lommel function is close-to-convex with respect to-log(1-z) and 1/2 log (1+z/1-z). Starlikeness, convexity and uniformly close-to-convexity of the modified Lommel function are also discussed. Some results related to the H. Silverman are also the part of our investigation.