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Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2010; 47(2): 223-233
Printed March 1, 2010
https://doi.org/10.4134/JKMS.2010.47.2.223
Copyright © The Korean Mathematical Society.
Some applications of $q$-differential operator
Jian-Ping Fang
Huaiyin Normal University
In this paper, we use $q$-differential operator to recover the finite Heine $\ _2\Phi_1$ transformations given in [3]. Applying that, we also obtain some terminating $q$-series transformation formulas.
Keywords: $q$-series, $q$-differential operator, Rogers-Ramanujan type identity
MSC numbers: 05A30, 33D15, 33D60, 33D05
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