1
Faculty Of Science, Beirut Arab University, Beirut, Lebanon
(Josefjumayel113@gmail.com)
Abstract :
In this paper we study the gamma function and its representation for complex variable, using either a series or an appropriate integral and its applications in solving some types of Integral Equations and their relation to the Riemann zeta function.
Keywords :
gamma function; de gamma function; incomplete gamma function.
References :
[1] 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.
[2] ANDREWS, G.E., ASKEY, R. and ROY, R., Special Functions, Cambridge University Press, Cambridge, 2001.
[3]ARTIN, E. The Gamma Function, HOLT, RINEHART, and WINSTO, New York,2002.
[4] BAMEW, E.W., “The Theory of the Gamma Function,” Messenger Math., (2),Vol. 29, 2004, pp.64-128..
[5]BORWEIN, J.M. and ZUKER, I.J., “Elliptic Integral Evaluation of the Gamma Function at Rational Values and Small Denominator,” IMA J. Numerical Analysis, Vol. 12,2005, pp. 519-526.
[6]DAVIS, P.J., “Leonhard Euler’s Integral: Historical profile of the Gamma Function,” Amer. Math. Monthly, Vol. 66, 2006, pp. 849-869.
[7]ERDELYL, A., MAGNUS, W., OBERHETTINGER, F. and TRICOMI, F.G., “The Gamma Function,” Ch. 1 in Higher Transcendental Functions, Vol. 1, Krieger, New York, 2007, pp. 1-55.
[8] HOCHSTADT, H., Special Functions of Mathematical Physics, HOLT, RINEHART and WINSTON, New York,2007.
[9] S. KANEMITSU, H. KUMAGAI, H.M. SRIVASTAVA, M. YOSHIMOTO, Some integral and asymptotic formulas associated with the Hurwitz zeta function, Appl. Math. Comput. 154 (2004) 641–664
[10]. D. SHEEN, I. H. SLOAN, and V. THOM´EE, A parallel method for timediscretization of parabolic problems based on contour integral representation and quadrature, Math.Comput., 69 (2000), pp. 177–195.
| Style | # |
|---|---|
| MLA | Josef Al Jumayel. "On Some Applications of Gamma Function." Galoitica: Journal of Mathematical Structures and Applications, Vol. 4, No. 1, 2023 ,PP. 21-25 (Doi : https://doi.org/10.54216/GJMSA.040103) |
| APA | Josef Al Jumayel. (2023). On Some Applications of Gamma Function. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 1 ), 21-25 (Doi : https://doi.org/10.54216/GJMSA.040103) |
| Chicago | Josef Al Jumayel. "On Some Applications of Gamma Function." Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 no. 1 (2023): 21-25 (Doi : https://doi.org/10.54216/GJMSA.040103) |
| Harvard | Josef Al Jumayel. (2023). On Some Applications of Gamma Function. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 1 ), 21-25 (Doi : https://doi.org/10.54216/GJMSA.040103) |
| Vancouver | Josef Al Jumayel. On Some Applications of Gamma Function. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 4 ( 1 ): 21-25 (Doi : https://doi.org/10.54216/GJMSA.040103) |
| IEEE | Josef Al Jumayel, On Some Applications of Gamma Function, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 4 , No. 1 , (2023) : 21-25 (Doi : https://doi.org/10.54216/GJMSA.040103) |