Study about Transformations Formulae and Certain Transformations: A Mathematical Approach

Authors

  • Harwinder Kaur Department of Mathematics RIMT University, Mandi Gobindgarh, Fatehgarh Sahib, Punjab, India.
  • A. K. Shrivastav Department of Mathematics RIMT University, Mandi Gobindgarh, Fatehgarh Sahib, Punjab, India.

DOI:

https://doi.org/10.9734/bpi/nramcs/v3/2572B

Keywords:

Bailey’s transform, basic hypergeometric functions, Mellin transforms, Fourier transforms, Laplace transforms

Abstract

In this section, an attempt has been made to generate certain transformation formulae involving various transforms. Using abstraction of several transforms like Mellin, Fourier and Laplace transforms in Bailey’s lemma to establish some new theorems which will be helpful for further analysis. The following theorems have been derived:

  • the Mellin sine and cosine transformation have developed involving infinite series.
  • In this infinite summation, identity has developed involving Fourier transformation.
  • infinite summation identity has developed involving Laplace transformation.
   

Author Biographies

Harwinder Kaur, Department of Mathematics RIMT University, Mandi Gobindgarh, Fatehgarh Sahib, Punjab, India.

 

 

A. K. Shrivastav, Department of Mathematics RIMT University, Mandi Gobindgarh, Fatehgarh Sahib, Punjab, India.

 

 

Published

2022-05-14

How to Cite

Harwinder Kaur, & A. K. Shrivastav. (2022). Study about Transformations Formulae and Certain Transformations: A Mathematical Approach. Novel Research Aspects in Mathematical and Computer Science Vol. 3, 105–112. https://doi.org/10.9734/bpi/nramcs/v3/2572B

Issue

Novel Research Aspects in Mathematical and Computer Science Vol. 3

Section

Chapters