SOME EXTENDED MUTUAL RELATIONSHIPS BETWEEN THE CONVOLUTIONS TRANSFORM

admin August 15, 2024

Authors:

A. K. Thakur,Amar Pandey,Hetram Suryawanshi,Anjali Dubey,

DOI NO:

https://doi.org/10.26782/jmcms.2024.08.00011

Keywords:

Convolution Theorem,Inverse Laplace Transform,Laplace Transform,

Abstract

In this paper, we establish several interesting mutual relationships between two integral transforms of convolutions transform have been established

Refference:

I. Bhartiya, P.L.(1965), Mutual relations between different convolution transform of a function, Jl. Of math, Jabalpur Univ. P.47-54.
II. Chang, K. S., Kim, B. S. and Yoo, I. (2000), Integral transform and convolution of analytic functionals on abstract Wiener space Number. Funct. Anal.Optim. , 21: 97 – 105.
III. Erdilyi, A. (1954), Higher transcendental function Vol.1, Mcgrow Hill Book Co., New York.
IV. Hirschman, I. I. & Widder D. V. (1955),The convolution transform, Princeton University Press.
V. Huffman, T., Park, C. and Skoug, D. (1996), Convolution and Fourier–Feynman transforms of functionals involving multiple integrals. Michigan Math. J,43: 247 – 261.
VI. Huffman, T., Park, C. and Skoug, D. (1997), Convolution and Fourier–Feynman transforms. Rocky Mt. J. Math. , 27: 827 – 841.
VII. Kim, B. J., Kim, B. S. and Skoug, D. (2004) Integral transforms, convolution products and first variations. Int. J. Math. Math. Soc.,11: 579 – 598.
VIII. Kim, J. G., KO, J. W., Park, C. and Skoug, D. (1999) Relationships among transforms, convolutions and first variations. Int. J. Math. Math. Sci., 22. pp. 191 – 204.
IX. N.M. Tuan, P.D. Tuan, Generalized convolutions relative to the Hartley transforms with applications, Sci. Math. Jpn. 70 (2009), 77–89.
X. Park, C., Skoug, D. and Storvick, D. (1998)Relationships among the first variation, the convolution product and the Fourier–Feynman transform Rocky Mt. J. Math. , 28: 1447 – 1468.
XI. Sharma, H. N. (1973), Evaluation of definite integrals by the method of convolution transform Indian Jl. Of math, Vol.15, No.1.
XII. Singh, B.P. (1989), Ph.D. thesis, Integral transform with special reference to convolution transform, Ranchi University.

View Download