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Examination of a Special Function Defined by an Integral
Department of Mechanical Engineering, Yildiz Technical University, Istanbul, Turkey
- 1 Department of Mechanical Engineering, Yildiz Technical University, Istanbul, Turkey
American Journal of Computational Mathematics·Volume 02 (2012)·Pages 61–64·Published 21 March 2012·DOI10.4236/ajcm.2012.21008
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Abstract
The aim of this short note is to examine the properties of a special function defined by an integral which was appeared in a paper by Ersoy. It is revealed that the function for is expressed in terms of the gamma function and it varies linearly with for . Its appropriate graphs are plotted and its pertinent values are tabulated.
KeywordsSpecial FunctionComplementary Error FunctionGamma Function
- H. V. Ersoy, “Unsteady Flow due to a Sudden Pull of Eccentric Rotating Disks,” International Journal of Engineering Science, Vol. 39, No.3, 2001, pp. 343-354. doi:10.1016/S0020-7225(00)00040-9
- M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions,” Dover Publications, New York, 1972.