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Multidimensional integral transformations
I︠u︡. A Brychkov
- 01 Jan 1992
About: The article was published on 01 Jan 1992. and is currently open access.
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Citations
A direct approach to the mellin transform
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TL;DR: In this paper, the authors present an approach to the Mellin transform that is fully independent of Laplace or Fourier transform theory, in a systematic, unified form, containing the basic properties and major results under natural, minimal hypotheses upon the functions in questions.
205
On the applications of Laplace and Sumudu transforms
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Feynman integral relations from parametric annihilators
TL;DR: In this paper, the shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators are studied. And the number of master integrals is computed by the Euler characteristic of the Lee-Pomeransky polynomial.
A note on solutions of wave, Laplace's and heat equations with convolution terms by using a double Laplace transform
Hassan Eltayeb,Adem Kilicman +1 more
TL;DR: This study considers general linear second-order partial differential equations and solves three fundamental equations by replacing the non-homogeneous terms with double convolution functions and data by a single convolution.
82
The pricing of vulnerable options with double Mellin transforms
Ji-Hun Yoon,Jeong Hoon Kim +1 more
TL;DR: This paper used double Mellin transforms to study European vulnerable options under constant as well as stochastic (the Hull-White) interest rates and obtain explicitly an analytic closed form pricing formula in each interest rate case so that the pricing of the options can be computed both accurately and efficiently.
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