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

Authors

  • Hari Singh Parihar Central University of Rajasthan.
  • Ritu Agarwal Malaviya National Institute of Technology.

DOI:

https://doi.org/10.4067/S0716-09172014000200005

Keywords:

Starlike function, p-valent function, convolution, generalized fractional derivative operator, generalized Ruscheweyh derivatives, función tipo estrella, función p-valente, convolución, operador fraccionario derivativo generalizado.

Abstract

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.

References

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Published

2017-03-23

How to Cite

[1]
H. S. Parihar and R. Agarwal, “A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator”, Proyecciones (Antofagasta, On line), vol. 33, no. 2, pp. 189-204, Mar. 2017.

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Section

Artículos