Multidimensional Fractional Integral Operators Involving General Class of Polynomial and Aleph $\left(\aleph \right)$ Function


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Authors

  • Sanjay Bhatter Department of Mathematics, Malaviya National Institute of Technology, Jaipur, India
  • Rakesh Kumar Bohra Department of Mathematics, Malaviya National Institute of Technology, Jaipur, India

Keywords:

Aleph function, Fractional integral operator, General class of Multivariable Polynomials, Mellin transform, Stieltjes transform

Abstract

In the Present Paper, we acquire a pair of Multidimensional Fractional Integral Operators whose kernels involving the product of Multivariable Polynomial and Aleph function. Firstly, in our operator of study we obtain images of two useful functions. Next, we authenticate two theorems given by Multidimensional generalized Stieltjes transform of fractional integral operators and conversely, lastly, for these operators, we present results concerning Mellin transform, Mellin Convolutions and inversion formulae for theses operators.

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Published

15-05-2017

How to Cite

Sanjay Bhatter, & Rakesh Kumar Bohra. (2017). Multidimensional Fractional Integral Operators Involving General Class of Polynomial and Aleph $\left(\aleph \right)$ Function. International Journal of Mathematics And Its Applications, 5(2 - B), 293–300. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/821

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Section

Research Article