published by Tishreen University
in 2015
in
and research's language is
العربية
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Abstract in English
In this paper, we study the Gamma function, and the representation of a complex variable, using either sequential or appropriate integration ,and its application in solving certain types of integral equations , and their relationship to the Riemann- Zeta function, and used to solve the contour integration ,and to find the integration of Hankel’s contour integral according to Bessel function for integer n.
References used
ABRAMOWITZ, M. and STEGUN, I.A., (EDS.), “Gamma (Factorial) Function” and “Incomplete Gamma Function.” §6.1 and §6.5 in Handbook of Mathematical Functions and Formulas, Graphs and Mathematical Tables, 9th printing, Dover, New York, 1992, pp. 255-258 and pp 260-263
ANDREWS, G.E., ASKEY, R. and ROY, R., Special Functions, Cambridge University Press, Cambridge, 2001
ARTIN, E. The Gamma Function, HOLT, RINEHART, and WINSTO, New York,2002