Dirichlet Average of Generalized Miller-Ross Function and Fractional Derivative

Mohd. Farman Ali¹, Manoj Sharma², Lakshmi Narayan Mishra^{3, 4} and Vishnu N. Mishra^5,

¹School of Mathematics and Allied Sciences, Jiwaji University, Gwalior

²Department of Mathematics RJIT, BSF Academy, Tekanpur, Gwalior

³Department of Mathematics, National Institute of Technology, Silchar - 788 010, District - Cachar (Assam), India

⁴L. 1627 Awadh Puri Colony Beniganj, Phase – III, Opposite – Industrial Training Institute (I.T.I.), Faizabad - 224 001 (Uttar Pradesh), India

⁵Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat – 395 007 (Gujarat), India

Cite this paper:
Mohd. Farman Ali, Manoj Sharma, Lakshmi Narayan Mishra and Vishnu N. Mishra. Dirichlet Average of Generalized Miller-Ross Function and Fractional Derivative. Turkish Journal of Analysis and Number Theory. 2015; 3(1):30-32. doi: 10.12691/tjant-3-1-7

Abstract

The object of the present paper is to establish the results of single Dirichlet average of Generalized Miller-Ross Function, using Riemann-Liouville Fractional Integral. The Generalized Miller-Ross Function can be measured as a Dirichlet average and connected with fractional calculus. In this paper the solution comes in compact form of single Dirichlet average of Generalized Miller-Ross Function. The special cases of our results are same as earlier obtained by Saxena et al. [12], for single Dirichlet average of Generalized Miller-Ross Function.

Keywords:
Dirichlet average Generalized Miller-Ross Function fractional derivative and Fractional calculus operators

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