A relation between Laplace and Stieltjes transforms of two variables
N. C. Jain (1970)
Annales Polonici Mathematici
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N. C. Jain (1970)
Annales Polonici Mathematici
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Virchenko, Nina (2012)
Mathematica Balkanica New Series
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MSC 2010: 44A15, 44A20, 33C60 Using the generalized confluent hypergeometric function [6] some new integral transforms are introduced. They are generalizations of some classical integral transforms, such as the Laplace, Stieltjes, Widder-potential, Glasser etc. integral transforms. The basic properties of these generalized integral transforms and their inversion formulas are obtained. Some examples are also given.
B. S. Tavathia (1967)
Matematički Vesnik
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M. Dutta, S. Ganguly (1970)
Matematički Vesnik
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R. U. Verma (1969)
Matematički Vesnik
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Sinha, Sunil Kumar (1985)
International Journal of Mathematics and Mathematical Sciences
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Pathak, Ram Shankar, Debnath, Lokenath (1987)
International Journal of Mathematics and Mathematical Sciences
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Milan Jovin (1963)
Publications de l'Institut Mathématique [Elektronische Ressource]
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S. M. Mathur (1966)
Annales Polonici Mathematici
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Shrideh K.Q. Al-Omari, Jafar F. Al-Omari (2015)
Open Mathematics
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In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.
Gökhan Gökdere, Mehmet Gürcan (2016)
Open Mathematics
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Operation principle of the engineering systems occupies an important role in the reliability theory. In most of the studies, the reliability function of the system is obtained analytically according to the structure of the system. Also in such studies the mean operating time of the system is calculated. However, the reliability function of some systems, such as repairable system, cannot be easily obtained analytically. In this case, forming Laplace-Stieltjes transform of the system can...
Bellman, Richard (1978)
International Journal of Mathematics and Mathematical Sciences
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