A real inversion formula for the Kratzel's generalized Laplace transform.
Jorge J. Betancor, Javier A. Barrios (1991)
Extracta Mathematicae
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Jorge J. Betancor, Javier A. Barrios (1991)
Extracta Mathematicae
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V. M. Bhise (1964)
Collectanea Mathematica
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J. M. C. Joshi (1965)
Collectanea Mathematica
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V. M. Bhise (1967)
Compositio Mathematica
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Yürekli, O., Sadek, I. (1991)
International Journal of Mathematics and Mathematical Sciences
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Stanković, Bogoljub (2001)
Novi Sad Journal of Mathematics
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Kumar, Dilip, Kilbas, Anatoly (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99 The fractional calculus of the P-transform or pathway transform which is a generalization of many well known integral transforms is studied. The Mellin and Laplace transforms of a P-transform are obtained. The composition formulae for the various fractional operators such as Saigo operator, Kober operator and Riemann-Liouville fractional integral and differential operators with P-transform are proved. Application of the P-transform...
Kokila Sundaram (1983)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Deeba, E.Y., Koh, E.L. (1992)
International Journal of Mathematics and Mathematical Sciences
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B. S. Tavathia (1967)
Matematički Vesnik
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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.