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A new integral transform and its applications
- Source :
- Acta Mathematica Scientia. 35:1386-1400
- Publication Year :
- 2015
- Publisher :
- Elsevier BV, 2015.
-
Abstract
- In the present paper, the authors introduce a new integral transform which yields a number of potentially useful (known or new) integral transfoms as its special cases. Many fundamental results about this new integral transform, which are established in this paper, include (for example) existence theorem, Parseval-type relationship and inversion formula. The relationship between the new integral transform with the H-function and the H-transform are characterized by means of some integral identities. The introduced transform is also used to find solution to a certain differential equation. Some illustrative examples are also given.
- Subjects :
- Mellin transform
Radon transform
Laplace transform
Kontorovich–Lebedev transform
General Mathematics
General Physics and Astronomy
Integral transform
Algebra
symbols.namesake
Laplace transform applied to differential equations
Hartley transform
symbols
Two-sided Laplace transform
Mathematics
Subjects
Details
- ISSN :
- 02529602
- Volume :
- 35
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Scientia
- Accession number :
- edsair.doi...........86ce6aaba69aea52af25a5f1416806de