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On a Class of Meromorphically p-Valent Starlike Functions

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Abstract

Let §(p)(p 2 N) be the class of functions f(z) = z¡p + a1¡pz1¡p + a2¡pz2¡p +&cent; &cent; &cent; analytic in 0 < jzj < 1 and let M(p; ¸; ¹)(0 < ¸ · 2 and 2¸(¸¡1) · ¹ · ¸2) denote the class of functions f(z) 2 §(p) which satisfy &micro;Re zf0(z) pf(z) ¶2 + ¹ >&macr;&macr;&macr;&macr; zf0(z) pf(z) + ¸&macr;&macr;&macr;&macr; 2 (jzj < 1): The object of the present paper is to derive some properties of functions in the class M(p; ¸; ¹):

참고문헌 (5)

  1. Dixit, "A class of uniformly convex functions of order withnegative and xed nitely many coecients", 32(5), pp.711~716 (2001)
  2. On uniformly convex functions, "30024ON A CLASS OF MEROMORPHICALLY P-VALENT STARLIKE FUNCTIONS 63", 48(3), pp.377~384 (1998)
  3. Ronning, "Uniformly convex functions and a corresponding class of starlike functions" (1993)
  4. Srivastava, "Applications of fractional calculus to parabolic"
  5. Duke Math, "Some remarks on convex maps of the unit disk" (1970)

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