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Some results on generalised voigt functions

Published online by Cambridge University Press:  17 February 2009

K. C. Gupta ,
S. P. Goyal  and
Rohit Mukherjee
K. C. Gupta
Affiliation:
Emeritus Fellow, Department of Mathematics, M. R. Engineering College, Jaipur 302017, Rajasthan, India; e-mail: kcgupta-in2000@yahoo.com.
S. P. Goyal
Affiliation:
Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India.
Rohit Mukherjee
Affiliation:
Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India.
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Abstract

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Recently, Srivastava, Pathan and Kamarujjama established several results for generalised Voigt functions which play an important role in several diverse fields of physics—such as astrophysical spectroscopy and the theory of neutron reactions. In the present paper we aim to generalise some partly bilateral and partly unilateral representations and generating functions of Srivastava et al. by considering a specialised version of the Srivastava-Chen definition of the unified Voigt functions. Several special cases of our main results are mentioned briefly.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 2 , October 2002 , pp. 299 - 303
Copyright
Copyright © Australian Mathematical Society 2002

References

[1]Pathan, M. A. and Yasmeen, “On partly bilateral and partly unilateral generating functions”, J. Austral. Math. Soc. Sen B 28 (1986) 240–245.CrossRefGoogle Scholar
[2]Srivastava, H. M. and Chen, M. P., “Some unified presentations of the Voigt functions”, Astrophys. Space Sci. 192 (1992) 63–74.CrossRefGoogle Scholar
[3]Srivastava, H. M. and Daoust, M. C., “Certain generalized Neumann expansions associated with the Kampé de Fériet function”, Nederl. Akad. Wetensch. Proc. Sen A 72 = Indag. Math. 31 (1969) 449–457.Google Scholar
[4]Srivastava, H. M., Gupta, K. C. and Goyal, S. P., The H-functions of one and two variables with applications, (South Asian Publishers, New Delhi, 1982).Google Scholar
[5]Srivastava, H. M., Pathan, M. A. and Kamarujjama, M., “Some unified presentations of the generalized Voigt functions”, Commun. Appl. Anal. 2 (1998) 49–64.Google Scholar
[6]Wright, E. M., “The asymptotic expansions of the generalized hypergeometric function”, J. London Math.Soc. 10 (1935) 286–293.CrossRefGoogle Scholar