Topology of Laplace transformable functions
T. K. Mukherjee, S. Ganguly (1969)
Annales Polonici Mathematici
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T. K. Mukherjee, S. Ganguly (1969)
Annales Polonici Mathematici
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N. C. Jain (1970)
Annales Polonici Mathematici
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B. S. Tavathia (1967)
Matematički Vesnik
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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.
J. Szarski (1964)
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.
Yürekli, O., Sadek, I. (1991)
International Journal of Mathematics and Mathematical Sciences
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R. U. Verma (1969)
Matematički Vesnik
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S. M. Mathur (1966)
Annales Polonici Mathematici
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V. Karunakaran, C. Prasanna Devi (2010)
Annales Polonici Mathematici
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In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.
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...
Belgacem, Fethi bin Muhammed, Karaballi, Ahmed Abdullatif, Kalla, Shyam L. (2003)
Mathematical Problems in Engineering
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