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ON A SUBCLASS OF n-UNIFORMLY MULTIVALENT FUNCTIONS USED BY INCOMPLETE BETA FUNCTION

Mr. Pravin Ganpat Jadhav
  1. Research Scholar, Shri Jagdishprasad Jhabarmal Tibrewala University, Jhunjhunu, Rajasthan (India)
  2. Assistant Professor , Hon. B. J. Arts, commerce and Science College, Ale, Pune, India
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Abstract

In this paper we introduce the new subclasses and of n-uniformly convex and n-uniformly starlike functions which are analytic and multivalent with negative coefficients. The object of this paper is to study of the application of incomplete beta function to n-uniformly convex multivalent functions and obtain several properties of the subclasses and

Keywords

Analytic functions , Multivalent functions , Coefficient estimate, Distortion theorem, Starlike functions , Convex functions, Close-to-close functions, n-Uniformly Convex functions, n-Uniformly Starlike functions, Radii of close-to-close convexity , starlikeness and convexity

INTRODUCTION

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II. COEFFICIENT ESTIMATES

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References

  1. Jadhav P. G. and S. M. Khairnar, Certain subclasses of analytic and multivalent functions in the unit disc International J. of Math. Sci. & Engg. Appls. (IJMSEA) Vol. 6 No. VI (November, 2012), pp.175-192
  2. Jadhav P. G. and S. M. Khairnar , Certain family of meromorphic and multivalent functions defined by linear operator in the unit disc , International J. of Math. Sci. & Engg. Appls. (IJMSEA) Vol. 7 No. II (Mar, 2013), pp.15-33
  3. Jadhav P. G. and S. M. Khairnar , Some application of differential operator to analytic and multivalent function with negative coefficient , International J. of Manage.Studies, Statistics & App. Economics.(IJMSAE)ISSN 2250-0367, Vol. 3 No. I (June, 2013), pp.111-128.
  4. S. M. Khairnar and Meena More, On a Class of Meromorphic Multivalent Functions with Negative Coefficients Defined by Ruscheweyh Derivative, International Mathematical Forum, 3, 2008, no. 22, 1087 – 1097
  5. S. M. Khairnar and Meena More, On a subclass of multivalent -Uniformly starlike and convex functions defined by a linear operator , IAENG International Journal of Applied Mathematics , 39:3, IJAM_39_06 , 2009
  6. H. M. Srivastava , T.N. Shanmugam, C. Ramachandran and S. Sivasubramanian , A new subclass of uniformly convex functions with negative coefficient , journal of inequalities in pure and applied mathematics , ISSN: 1443-5756 , volume 8 (2007),Issue2, Artical43, pp. 14.