SOME PROPERTIES OF FRACTIONAL HARTLEY TRANSFORM

Swati Nikam; B. Surendranath Reddy; Vasant Gaikwad

doi:10.56827/SEAJMMS.2022.1803.10

Swati Nikam Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA
B. Surendranath Reddy Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA
Vasant Gaikwad Department of Mathematics, Shri. Chhatrapati Shivaji College, Omerga, Osmanabad - 413606, Maharashtra, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.10

Abstract

This paper is motivated by the ideas of fractional Fourier transform and Hartley transform. Looking towards the practicality and demanding attention of fractional Hartley transform we take keen interest into it. In this paper, we deal with inverse theorem of FRHT and some important properties of fractional Hartley transform like exponential rule, multiplication rule, transform of derivative and derivative of transform, which play a very crucial role in the development of fractional Hartley transform.

Author Biographies

Swati Nikam, Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA

B. Surendranath Reddy, Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA

Vasant Gaikwad, Department of Mathematics, Shri. Chhatrapati Shivaji College, Omerga, Osmanabad - 413606, Maharashtra, INDIA