6 Laplace transforms and fractional moment problems

2018 ◽  
pp. 63-76
Keyword(s):  
Laplace Transforms ◽  
Moment Problems ◽  
Fractional Moment

Maxentropic solution of fractional moment problems

2006 ◽  
Vol 173 (1) ◽  
pp. 109-125 ◽  
Author(s):  
Henryk Gzyl ◽  
Pier Luigi Novi Inverardi ◽  
Aldo Tagliani ◽  
Minaya Villasana
Keyword(s):  
Moment Problems ◽  
Fractional Moment

scholarly journals The Bateman Functions Revisited after 90 Years—A Survey of Old and New Results

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1273
Author(s):  
Alexander Apelblat ◽  
Armando Consiglio ◽  
Francesco Mainardi
Keyword(s):  
Hypergeometric Function ◽  
Laplace Transforms ◽  
Confluent Hypergeometric Function ◽  
Integral Function ◽  
Basic Properties ◽  
Differential Relations

The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two decades they were practically neglected. In handbooks, the Bateman function is only mentioned as a particular case of the confluent hypergeometric function. In order to revive our knowledge on these functions, their basic properties (recurrence functional and differential relations, series, integrals and the Laplace transforms) are presented. Some new results are also included. Special attention is directed to the Bateman and Havelock functions with integer orders, to generalizations of these functions and to the Bateman-integral function known in the literature.

A method for evaluating laplace transforms and other integrals

1997 ◽  
Vol 5 (3-4) ◽  
pp. 161-184
Author(s):  
M.L. Glasser ◽  
V. Kowalenko
Keyword(s):  
Laplace Transforms

Closed-form representations of the laplace transforms of bessel funtions

2000 ◽  
Vol 9 (3) ◽  
pp. 217-228 ◽  
Author(s):  
Klaus Rottbrand ◽  
Christian Weddigen
Keyword(s):  
Closed Form ◽  
Laplace Transforms
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