Laplace transforms of the logarithmic functions and their applications

• Autorzy: Pathan M. A. , Daman O.A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Laplace transform; Steiltjes transform; logarithmic function; stochastic calculus; Whittaker function

PL

transformata Laplace'a; transformata Steiltjes'a; funkcja logarytmiczna; rachunek różniczkowy stochastyczny; funkcja Whittakera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 3
• Strony: 533--542
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Pathan M. A.

• Centre for Mathematical Sciences, Arunapuram P.O., Pala Kerala - 686574, India

autor

Daman O.A.

• Department of Mathematics, University of Botswana, P/Bag 0022, Gaborone, Botswana

Bibliografia

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• [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.