Radius of starlikeness of p-valent lambda-fractional operator

AYDOĞAN S. M., SAKAR F. M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.357, ss.374-378, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 357
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.amc.2018.11.067
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.374-378
  • Anahtar Kelimeler: Radius of starlikeness, Fractional operator, Convolution
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Let consider A(p) denoting a class of analytical functions defined as f(z) = z(p) + a(p)+ (1)z(p+1) + center dot center dot center dot + a(p+n)z(p+n) + center dot center dot center dot and p-valent in unit disc U = {z vertical bar vertical bar z vertical bar < 1}. f (z) is an element of A(p) is expressed to be p-valently starlike in U if there is a positive figure rho fulfilling rho < vertical bar z vertical bar < 1, Re(zf'(z)/f(z)) > 0, and integral(2 pi)(0) Re(zf'(z)/f(z))d theta = 2p pi, z = re(i theta), rho < r < 1. Let us consider S*(p) denoting the family of f(z) in A(p), being regular and p-valently starlike in U. It was proved by Goodman [3] that f (z) is an element of S*(p) is at most p-valent in U.