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The h-Laplace and q-Laplace transforms
Journal of Mathematical Analysis and Applications, 2010 For a given function \(x\) with complex values the \(h\)-Laplace transform is defined as \[ (h/(1+hz))\sum^\infty_{k=0}x(kh)/(1+ hz)^k, \] and the \(q\)-Laplace transform as \[ (q-1)\sum^\infty_{n=0} q^nx(q^n)/\prod^n_{k=0} (1+(q- 1)q^k z), \] where \(z\) is the complex variable in the image domain.
Bohner, Martin, Guseinov, Gusein Sh.
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On the Laplace Transform of the Lognormal Distribution [PDF]
Methodology and Computing in Applied Probability, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asmussen, Søren +2 more
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q-LAPLACE TRANSFORM ON QUANTUM INTEGRAL [PDF]
, 2023 In this paper, we present q-Laplace transform by q-integral definition on quantum analogue.
Sarıkaya, Mehmet Zeki +4 more
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On q-double modified Laplace transform [PDF]
Mathematics and Computational SciencesThe Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda +2 more
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Communications in Advanced Mathematical SciencesIn this paper, a new generalization of the Laplace transform, called the $(k,\psi )$-generalized Laplace transform, which plays an important role in solving many problem models, is introduced and its special properties are given.
Emine Cengizhan +2 more
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Laplace Transform Method for Pricing American CEV Strangles Option with Two Free Boundaries
Discrete Dynamics in Nature and Society, 2018 Laplace transform method (LTM) has a lot of applications in the evaluation of European-style options and exotic options without early exercise features.
Zhiqiang Zhou, Hongying Wu
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Complexity, 2022 In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform ...
Jia Honggang, Zhao Yanmin
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Image Coding Using Laplace Transform
ITM Web of Conferences, 2018 In this paper a different cryptographic method is introduced by using Power series transform. A new algorithm for cryptography is produced. The extended Laplace transform of the exponential function is used to encode an explicit text.
Gençoǧlu Muharrem Tuncay, Vural Mehmet
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Some Properties and Applications of a New General Triple Integral Transform “Gamar Transform’’
Complexity, 2023 The goal of this study is to suggest a new general triple integral transform known as Gamar transform. Next, we compare the current transform to a number of existing triple integral transforms such as those by Laplace, Sumudu, Elzaki, Aboodh, and Laplace–
Abdelilah Kamal H. Sedeeg
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On a Generalisation of the Laplace Transformation [PDF]
Proceedings of the Edinburgh Mathematical Society, 1954 On reading a recent paper by R. S. Varma (Varma 1949) I recalled that in May 1942 I investigated an integral transformation which is very similar to Varma's. Varma hasand points out that this reduces to a Laplace integral for k = ¼, m = ± ¼. Instead of (1), one could consider the integralwhich was introduced by C. S.
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