On Some Applications of Gamma Function

Josef Al

doi:https://doi.org/10.54216/GJMSA.040103

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Volume 4 • Issue 1 • PP: 21-25 • 2023

On Some Applications of Gamma Function

Josef Al Jumayel ^1*

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¹Faculty Of Science, Beirut Arab University, Beirut, Lebanon

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.040103

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Received: December 20, 2022 Accepted: March 12, 2023

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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

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[2] ANDREWS, G.E., ASKEY, R. and ROY, R., Special Functions, Cambridge University Press, Cambridge, 2001.

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[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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