A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator

• Parihar, Hari Singh ^[1] ; Agarwal, Ritu ^[2]
  1. [1] Central University of Rajasthan

     Central University of Rajasthan

     India

     
  2. [2] National Institute Of Technology

     National Institute Of Technology

     Japón

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 33, Nº. 2, 2014, págs. 189-204
• Idioma: inglés
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• Resumen

  • The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class . Also we apply the Fractional calculus techniques to obtain the applications of the class . Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed.