18 PDF - Hossam A. Ghany, Computations of some integrals involving logarithmic function with some thermodynamical applications

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Volume 24: Pages 456-459, 2011

Computations of some integrals involving logarithmic function with some thermodynamical applications

Hossam A.Ghanya)

Mathematics Department, Faculty of Industrial Education, Helwan University, Sawah Street, Ameria (P.O. 11282), Cairo, Egypt

In this paper, the derivatives of the hypergeometric functions with respect to parameters are employed to give explicit forms for some integrals involving logarithmic function. In an application to Laguerre ensemble, the usefulness of these forms is illustrated.

Dans le présent article, les dérivées des fonctions hypergéométriques par rapport aux paramètres sont utilisées pour donner des formes explicites pour certaines intégrales impliquant la fonction logarithmique. Dans une application à l'ensemble de Laguerre, l'utilité de ces formes est illustrée.

Keywords: Hypergeometric Functions, Laguerre Ensemble

Received: April 14, 2011; Accepted: July 18, 2011; Published Online: August 19, 2011

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