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On a connection between the generalized incomplete gamma functions and their extensions

Published online by Cambridge University Press:  17 February 2009

M. Aslam Chaudhry  and
S.M. Zubair
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Abstract

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In this paper we have proved that the generalized incomplete gamma functions and their extensions are mutually related through integral and differential representations.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 4 , April 1997 , pp. 581 - 589
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Chaudhry, M. Aslam and Zubair, S. M., “Analytic study of temperature solutions due to gamma type moving point-heat sources”, Int. J. of Heat and Mass Transfer 36 (1991) 1633–1637.CrossRefGoogle Scholar
[2]Chaudhry, M. Aslam and Zubair, S. M., “Generalized incomplete gamma functions with applications”, J. of Comp. and Appl. Math. 55 (1994) 99–124.CrossRefGoogle Scholar
[3]Chaudhry, M. Aslam and Zubair, S. M., “On an extension of generalized incomplete gamma functions with applications”, J. Austral. Math. Soc. Ser. B 37 (1996) 392–405.CrossRefGoogle Scholar
[4]Erdélyi, A. et al. , Tables of Integral Transforms Vol. I McGraw-Hill, New York (1954).Google Scholar
[5]Erdélyi, A. et al. , Tables of Integral Transforms Vol. II McGraw-Hill, New York (1954).Google Scholar
[6]Zubair, S. M. and Chaudhry, M. Aslam, “Temperature solutions due to continuously operating spherical-surface-heat sources in an infinite medium”, Intl. Communications in Heat and Mass Transfers 18 (1991) 805–812.CrossRefGoogle Scholar
[7]Zubair, S. M. and Chaudhry, M. Aslam, “Temperature solutions due to continuously operating, gamma-type heat sources in an infinite medium”, Fundamental Problems in Conduction Heat Transfer (ASME-HTD) 207 (1992) 63–68.Google Scholar