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A certain class of generating functions involving bilateral series

Published online by Cambridge University Press:  17 February 2009

H. M. Srivastava ,
M. A. Pathan  and
M. G. Bin-Saad
H. M. Srivastava
Affiliation:
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada; e-mail: harimsri@math.uvic.ca.
M. A. Pathan
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India; e-mail: mapathan@postmark.net and mmrOll@amu.up.nic.in.
M. G. Bin-Saad
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India; e-mail: mapathan@postmark.net and mmrOll@amu.up.nic.in.
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Abstract

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The authors derive a general theorem on partly bilateral and partly unilateral generating functions involving multiple series with essentially arbitrary coefficients. By appropriately specialising these coefficients, a number of (known or new) results are shown to follow as applications of the theorem.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 3 , January 2003 , pp. 475 - 483
Copyright
Copyright © Australian Mathematical Society 2003

References

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