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A subclass of harmonic functions associated with wright hypergeometric functions

G. Murugusundaramoorthy|K. Vijaya
장전수학회 (Jangjeon Mathematical Society)|2009.01|Advanced Studies in Contemporary Mathematics|제18권 제1호|pp. 87-95

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참고문헌

키워드

extreme pointsHarmonic univalent starlike functionsWight hypergeometric functionsDziok-Srivastava operatordistortion bounds
주제분류수학

초록

We introduce a new class of complex valued harmonic functions associated with Wright hypergeometric function which are orientation preserving and univalent in the open unit disc . We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.

Abstract

We introduce a new class of complex valued harmonic functions associated with Wright hypergeometric function which are orientation preserving and univalent in the open unit disc . We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.

참고문헌 (16)

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  5. J.Dziok, "Certain subclasses of analytic functions associated with the generalized hypergeometric function", Intergral Transform Spec. Funct., 14, pp.7~18 (2003)
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  10. G.Murugusundaramoorthy, "A class of Ruscheweyh-Type harmonic univalent functions with varying arguments", Southwest J. Pure Appl. Math., 2, pp.90~95 (2003)
  11. T.Rosy, "Goodman-Ronning type harmonic univalent functions", Kyungpook Mathematical Journal, 41, pp.45~54 (2001)
  12. S. Ruscheweyh, "New criteria for univalent functions", Proc. Amer. Math. Soc., 49, pp.109~115 (1975)
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  14. H.M.Srivastava, "Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators and certain subclasses of analytic functions", Nagoya Math. J., 106, pp.1~28 (1987)
  15. K.Vijaya, "Studies on certain subclasses of harmonic functions", 박사, pp.2006
  16. E.M.Wright, "The asymptotic expansion of the generalized hypergeometric function", Proc. London. Math. Soc., 46, pp.389~408 (1946)

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