Further bibasic hypergeometric transformations and their applications |
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| Authors: | Hongmei Liu Cangzhi Jia |
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| Institution: | a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
b Department of Mathematics, Hainan Normal University, Haikou 571158, China |
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| Abstract: | In this paper, we give several new transformation formulae and generalize one result obtained by Singh U.B. Singh, Certain bibasic hypergeometric transformations and their applications, J. Math. Anal. Appl. 201 (1996) 44-56] with the help of Bailey's transform. Further, some new multiple series identities of the Rogers-Ramanujan type are established. |
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| Keywords: | Bibasic hypergeometric series Rogers-Ramanujan identities |
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