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Kamiran jenis Mellin-Barnes yang melibatkan fungsi Carlson

Murid, Ali H. M. (1989) Kamiran jenis Mellin-Barnes yang melibatkan fungsi Carlson. Matematika, Universiti Teknologi Malaysia . pp. 37-53.

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Abstract

Several Mellin-Barnes integral representations of the power function and the exponential function as well as the product of the power function with the logaritm function are generalized by means of Carlson's R, s and L functions. The quaestions arises whether it is legitimate or not to take the average under the Mellin-Barnes integral sign. The difficulty is overcome by use of Fubini's theorem along with some other conditions. Examples that include hypergeometric functions of Kummer, Gauss, Appell and Lauricella are also discussed.

Item Type:Article
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:3839
Deposited By: Assoc. Prof. Dr. Ali Hassan Mohamed Murid
Deposited On:27 Jun 2007 02:45
Last Modified:27 Jun 2007 03:40

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