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Laplace transforms

A Finite Interval Uniqueness Theorem for Bilateral Laplace Transforms

A Finite Interval Uniqueness Theorem for Bilateral Laplace Transforms

... bilateral Laplace transforms with a complex argument “s” may be equal in a finite vertical interval when, in fact, the transforms correspond to di ff erent ...bilateral Laplace transform in any ...

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Laplace Transforms to Kekre’s functions

Laplace Transforms to Kekre’s functions

... This evaluations and observation done by the author in this work can help researchers for the elaborate study in this direction. Evaluation and analysis can be done for higher orders. Continuous transforms of such ...

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Two dimensional Laplace transforms of generalized hypergeometric functions

Two dimensional Laplace transforms of generalized hypergeometric functions

... TWO DIMENSIONAL LAPLACE TRANSFORMS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS R.S.. Department of Mathematics Iowa State University Ames, Iowa 50011.[r] ...

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Finan -- Laplace transforms

Finan -- Laplace transforms

... We next discuss the problem of how to determine the function f(t) if F (s) is given. That is, how do we invert the transform. The following result on uniqueness provides a possible answer. This result establishes a ...

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Revisiting the 1D and 2D Laplace Transforms

Revisiting the 1D and 2D Laplace Transforms

... two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition ...

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Does the ratio of Laplace transforms of powers of a function identify the function?

Does the ratio of Laplace transforms of powers of a function identify the function?

... In auction theory, one is interested in identifying the distribution of bids based on the distribution of the highest ones. We study this problem as a special case of the following question. Let m, n be two distinct ...

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Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley Dickson Algebras, Their Applications to PDE

Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley Dickson Algebras, Their Applications to PDE

... noncommutative Laplace transforms over octonions are ...inverse transforms and other properties of the Laplace transforms over the Cayley-Dickson algebras are ...

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Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms

Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms

... truncated Laplace transform is closely related to the classical theory of asymptotic approximation of analytic functions (examples of this situation is the classical proof of Ritt’s Theorem for Gevrey asymptotics, ...

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Scope, Overview, Applications of Laplace Transforms in Engineering Field

Scope, Overview, Applications of Laplace Transforms in Engineering Field

... ABSTRACT: Laplace transform is an integral transform method which is particularly useful in solving linear ordinary differential ...The Laplace transform can be interpreted as a transformation from the time ...

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Theorems on association of variables in multidimensional Laplace transforms

Theorems on association of variables in multidimensional Laplace transforms

... The function Gs is said to be the associated transform of 2 Chert and Chiu [6] and Koh [7] have presented several theorems for evaluating Gs for certain types of In this paper, some addi[r] ...

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Numerical forecasting using LaPlace transforms : theory and application to data assimilation

Numerical forecasting using LaPlace transforms : theory and application to data assimilation

... flow, whitst the high frequency components are strongly attenuated.. models the meteorologically significant synoptic flow.[r] ...

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A New Inversion Formula for Laplace Transforms and the Notion of Evenness

A New Inversion Formula for Laplace Transforms and the Notion of Evenness

... Abstract We prove a new inversion formula for Laplace transform in form SiCoLL(S(x))=c S(x),c=const., where Si is the sine-transform , Co is the cosine-transform of Fourier for not negative x , and L is the ...

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Laplace Transform Of Some Well Known Special Functions

Laplace Transform Of Some Well Known Special Functions

... Integral Transforms draw the attention of many researchers and hence various types of Integral Transforms introduced time-to-time (Debnath [2], Snedon ...Integral Transforms play a key role in the ...

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A Computational Quadruple Laplace  Transform for the Solution of Partial  Differential Equations

A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations

... double Laplace transform to find the solution of general linear telegraph and partial integro-differential ...the Laplace transforms of n-dimensions and application of these theorems to a number of ...

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Vol 2, No 12 (2011)

Vol 2, No 12 (2011)

... Cryptography is the science of transmission and reception of secret messages. Recently electronic communication has become an essential part of every aspect of human life. Message encryption has become very essential to ...

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Laplace And Sumudu Transforms And Their Application

Laplace And Sumudu Transforms And Their Application

... and Laplace transform along with the some of their important operational properties are ...and Laplace transforms are used to solve application in physics and Circuit ...

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Recent developments on the Stieltjes transform of generalized functions

Recent developments on the Stieltjes transform of generalized functions

... Stieltjes transforms of ordinary and generalized functions, Real and complex inversion theorems, Kernel and adjolnt methods, Poisson transforms, Laplace transforms, fractional order inte[r] ...

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On inner expansions for a singularly perturbed Cauchy problem with confluent fuchsian singularities

On inner expansions for a singularly perturbed Cauchy problem with confluent fuchsian singularities

... representable solutions y(t, z, ) to (1) as Laplace transforms in time t from which parametric asymptotic properties can be analyzed. The fact that both coefficients and forcing term in (1) are holomorphic ...

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Mathematical Modelling for Cryptography using Laplace Transform

Mathematical Modelling for Cryptography using Laplace Transform

... and Laplace transform using ASCII ...its Laplace transform. The Laplace transform is arranged in the form of an array with keys at even position, While the Decryption is done by inverse ...

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Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Sine function

Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Sine function

... fuzzy Laplace transforms are introduced and we discuss the properties ...Fuzzy Laplace transform under Riemann Liouville H- differentiability and solve the example involving sine terms in section ...

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