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Abstrakty
This paper deals with theorems and formulas using the technique of Laplace and Steiltjes transforms expressed in terms of interesting alternative logarithmic and related integral representations. The advantage of the proposed technique is illustrated by logarithms of integrals of importance in certain physical and statistical problems.
Wydawca
Czasopismo
Rocznik
Tom
Strony
533--542
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- Centre for Mathematical Sciences, Arunapuram P.O., Pala Kerala - 686574, India
autor
- Department of Mathematics, University of Botswana, P/Bag 0022, Gaborone, Botswana
Bibliografia
- [1] A. Apelblat, Application of Laplace transformation to evaluation of integrals, J. Math. Anal. Appl. 186 (1994), 237–253.
- [2] C. Berg, H. L. Pedersen, Logarithmic order and type of intermediate moment problems, Proceedings of the International Conference on Difference Equations, Special Functions and Orthogonal Polynomials, Munich, Germany, 25–30 July 2005, 51–59.
- [3] J. S. Dehesa, A. Matinerz-Finkelshtein, J. Sanchez-Ruiz, Quantum information entropies and orthogonal polynomials, J. Comput. Appl. Math. 133 (2001), 23–46.
- [4] A. Erdelyi et al., Tables of Integral Transforms, Vol. 1 , McGraw Hill, New York, 1954.
- [5] S. Herman, J. Maceli, S. Rogala, O. Yurekli, Parseval type relations for Laplace transforms and their applications, Internat. J. Math. Ed. Sci. Tech. 39(1) (2008), 109–115.
- [6] I. Karatzas, S. E. Shreve, Brownian Motion and Stochastic Calculus, Springer, New York, 1991.
- [7] K. Kobayashi, On a generalized gamma function occurring in diffraction theory, J. Phys. Soc. Japan 60 (1991), 1501–1512.
- [8] J. S. Lomont, J. Brillhart, Elliptic Polynomials, Chapman and Hall, New York, 1981.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-65e33a4a-5da3-4048-992b-35f9d2047745