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Multivalent Harmonic Uniformly Starlike Functions

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In this paper, we investigate a generalized family of complex-valued harmonic functions that are multivalent, sense-preserving, and are associated with k-uniformly harmonic functions in the unit disk. The results obtained here include a number of known and new results as their special cases.

Abstract

In this paper, we investigate a generalized family of complex-valued harmonic functions that are multivalent, sense-preserving, and are associated with k-uniformly harmonic functions in the unit disk. The results obtained here include a number of known and new results as their special cases.

참고문헌 (8)

  1. O. P. Ahuja, "Harmonic univalent functions associated with k-uniformly starlike functions", Math. Sci. Res. J, 9(1), pp.9~17 (2005)
  2. O. P. Ahuja, "Noshiro-type harmonic univalent functions", Scientiae Math. Japonicae, 56(2), pp.293~299 (2002)
  3. O. P. Ahuja, "Multivalent harmonic starlike functions with missing coefficients", Math. Sci. Res. J, 7(9), pp.347~352 (2003)
  4. OM P. AHUJA, "On a Linear Combination of Classes of Multivalently Harmonic Functions", Kyungpook Mathematical Journal, 42(1), pp.61~70 (2002), 경북대학교 자연과학대학 수학과
  5. O. P. Ahuja, "Multivalent harmonic starlike functions", Ann. Univ. Mariae Curie-Sklodowska, 55(1), pp.1~13 (2001)
  6. O. P. Ahuja, "Errata to Multivalent Harmonic Starlike Functions", Univ. Mariae Curie-Sk lodowska Sect. A, 55(1), pp.1~13 (2001)
  7. M. K. Aouf, "A generalization of multivalent functions with negative coecient II", Bull Korean Math. Soc, 25(2), pp.221~232 (1988)
  8. R. Bharati, "On subclasses of uniformly convex functions and corresponding class of starlike functions", Tamkang J. Math, 25, pp.17~32 (1997)

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