Extensions of two $q$ -Gosper identities with an extra integer parameter

preprint2014arXivOpen access

According to the method of series rearrangement, we establish the extensions of two $q$ -Gosper identities with an extra integer parameter. The limiting cases of them produce the generalizations of Gosper's two $_3F_2(\frac{3}{4})$ -series identities with an additional integer parameter. Meanwhile, several related results are also given.

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Extensions of two $q$ -Gosper identities with an extra integer parameter

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Extensions of two qqq-Gosper identities with an extra integer parameter

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Extensions of two $q$ -Gosper identities with an extra integer parameter