ANZIAM J.
44 (2003), 475-483
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A certain class of generating functions involving bilateral series
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H. M. Srivastava
Department of Mathematics and Statistics
University of Victoria
Victoria
British Columbia V8W 3P4
Canada
harimsri@math.uvic.ca
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M. A. Pathan
Department of Mathematics
Aligarh Muslim University
Aligarh 202002
Uttar Pradesh
India
mapathan@postmark.net
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M. G. Bin-Saad
Department of Mathematics
Aligarh Muslim University
Aligarh 202002
Uttar Pradesh
India
mmr011@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.
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