Examination of a Special Function Defined by an Integral


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.

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H. Ersoy, "Examination of a Special Function Defined by an Integral," American Journal of Computational Mathematics, Vol. 2 No. 1, 2012, pp. 61-64. doi: 10.4236/ajcm.2012.21008.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] 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
[2] M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions,” Dover Publications, New York, 1972.

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