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Galoitica: Journal of Mathematical Structures and Applications

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Online: 2834-5568
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 4Issue 1PP: 21-25 • 2023

On Some Applications of Gamma Function

Josef Al Jumayel 1*
1Faculty Of Science, Beirut Arab University, Beirut, Lebanon
* Corresponding Author.
Received: December 20, 2022 Accepted: March 12, 2023

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.                                                             

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Jumayel, Josef Al. "On Some Applications of Gamma Function." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 4, no. Issue 1, 2023, pp. 21-25. DOI: https://doi.org/10.54216/GJMSA.040103
Jumayel, J. (2023). On Some Applications of Gamma Function. Galoitica: Journal of Mathematical Structures and Applications, Volume 4(Issue 1), 21-25. DOI: https://doi.org/10.54216/GJMSA.040103
Jumayel, Josef Al. "On Some Applications of Gamma Function." Galoitica: Journal of Mathematical Structures and Applications Volume 4, no. Issue 1 (2023): 21-25. DOI: https://doi.org/10.54216/GJMSA.040103
Jumayel, J. (2023) 'On Some Applications of Gamma Function', Galoitica: Journal of Mathematical Structures and Applications, Volume 4(Issue 1), pp. 21-25. DOI: https://doi.org/10.54216/GJMSA.040103
Jumayel J. On Some Applications of Gamma Function. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 4(Issue 1):21-25. DOI: https://doi.org/10.54216/GJMSA.040103
J. Jumayel, "On Some Applications of Gamma Function," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 4, no. Issue 1, pp. 21-25, 2023. DOI: https://doi.org/10.54216/GJMSA.040103
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