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## Nonterminating well–poised hypergeometric series

#### Wenchang CHU [1]

Two classes of nonterminating well--poised series are examined by means of the modified Abel lemma on summation by parts, that leads to several summation and transformation formulae.

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Classical hypergeometric series, Abel's lemma on summation by parts, Pfaff–Saalschütz theorem, Dougall's formulae for $_2H_2$-series and $_5H_5$-series
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-8425-212XAuthor: Wenchang CHU (Primary Author)Institution: Zhoukou Normal UniversityCountry: China Publication Date : October 6, 2020
 Bibtex @research article { hujms548103, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1611 - 1624}, doi = {10.15672/hujms.548103}, title = {Nonterminating well–poised hypergeometric series}, key = {cite}, author = {Chu, Wenchang} } APA Chu, W . (2020). Nonterminating well–poised hypergeometric series . Hacettepe Journal of Mathematics and Statistics , 49 (5) , 1611-1624 . DOI: 10.15672/hujms.548103 MLA Chu, W . "Nonterminating well–poised hypergeometric series" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1611-1624 Chicago Chu, W . "Nonterminating well–poised hypergeometric series". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1611-1624 RIS TY - JOUR T1 - Nonterminating well–poised hypergeometric series AU - Wenchang Chu Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.548103 DO - 10.15672/hujms.548103 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1611 EP - 1624 VL - 49 IS - 5 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.548103 UR - https://doi.org/10.15672/hujms.548103 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Nonterminating well–poised hypergeometric series %A Wenchang Chu %T Nonterminating well–poised hypergeometric series %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 5 %R doi: 10.15672/hujms.548103 %U 10.15672/hujms.548103 ISNAD Chu, Wenchang . "Nonterminating well–poised hypergeometric series". Hacettepe Journal of Mathematics and Statistics 49 / 5 (October 2020): 1611-1624 . https://doi.org/10.15672/hujms.548103 AMA Chu W . Nonterminating well–poised hypergeometric series. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 1611-1624. Vancouver Chu W . Nonterminating well–poised hypergeometric series. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 1611-1624.

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