Study about Transformations Formulae and Certain Transformations: A Mathematical Approach

In this part, we’ve tried to come up with several transformation equations involving various transforms. Using Bailey’s lemma to abstract many transforms such as Mellin, Fourier, and Laplace transforms to prove some new theorems that will be useful for future study. The theorems that have been derived are:

Infinite series are used in the Mellin sine and cosine transformations.

Identity has evolved in this infinite summation employing Fourier transformation.

Laplace transformation has led to the development of an infinite summation identity.

Author(S) Details

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.

View Book:- https://stm.bookpi.org/NRAMCS-V3/article/view/6816

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