SOME CONVEXITY PROPERTIES FOR TWO NEW P-VALENT INTEGRAL OPERATORS

Deniz E., Caglar M., ORHAN H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.40, sa.6, ss.829-837, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 6
  • Basım Tarihi: 2011
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.829-837
  • Anahtar Kelimeler: Analytic functions, Integral operators, beta-uniformly p-valent starlike and beta-uniformly p-valent convex functions, Complex order, REGIONS
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we define two new general p-valent integral operators in the unit disc U, and obtain the convexity properties of these integral operators of p-valent functions on some classes of beta-uniformly p-valent starlike and beta-uniformly p-valent convex functions of complex order. As special cases, the convexity properties of the operators integral(z)(0) (f(t)/t)(mu) dt and integral(z)(0) (g' (t))(mu) dt are given.