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Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative

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A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.

Abstract

A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.

참고문헌 (11)

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  3. A. Ebadian, "Certain inequalities for p-valent meromorphic functions with alternating coefficients based on integral operator", AJMAA, 5(1), pp.1~5 (2008)
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  5. Y. C. Kim, "A class of inclusion theorems associated with some functional integral operators", Proc. Acad., 67(91) (1991)
  6. Y. C. Kim, "Integral means of the fractional derivative of univalent functions with negative coefficients", Mathematica Japonica, 51, pp.453~457 (2000)
  7. S. Owa, "On the distortion theorems. Ⅰ", Kyungpook Math. J., 18, pp.53~59 (1978)
  8. S. Owa, "On subclasses of univalent functions with negative coefficients", Pure Appl. Math. Sci., 29(1), pp.131~139 (1989)
  9. H. Silverman, "Univalent functions with negative coefficients", Proc. Amer. Math. Soc., 51, pp.109~116 (1975)
  10. H. M. Srivastava, "A class of distortion theorems involving certain operators of fractional calculus", J. Math. Appl., 131, pp.412~420 (1988)
  11. H. M. Srivastava, "Univalent functions, Fractional Calculus, and their Applications" (1989), John Wiley and Sons

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