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A new recurrence relation for the truncated very-well-poised $_6psi_6$ series and Baileys summation formula

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 Added by Ma Xinrong
 Publication date 2021
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and research's language is English




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In this paper we introduce the so-called truncated very-well-poised $_6psi_6$ series and set up an explicit recurrence relation for it by means of the classical Abel lemma on summation by parts. This new recurrence relation implies an elementary proof of Baileys well-known $_6psi_6$ summation formula.



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