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Certain new WP-Bailey pairs and basic hypergeometric series identities

S. Ahmad Ali|Sayyad Nadeem Hasan Rizvi
대한수학회 (The Korean Mathematical Society)|2017.10|대한수학회논문집 (Communications of the KMS)|제32권 제4호|pp. 885-898

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참고문헌

키워드

Bailey pairsBailey's lemmaBailey chainWP-Bailey pairsbasic hypergeometric series$q$-series
주제분류수학

초록

The Bailey lemma has been a powerful tool in the discovery of identities of Rogers-Ramanujan type and also ordinary and basic hypergeometric series identities. The mechanism of Bailey lemma has also led to the concepts of Bailey pair and Bailey chain. In the present work certain new WP-Bailey pairs have been established. We also have deduced a number of basic hypergeometric series identities as an application of new WP-Bailey pairs.

Abstract

The Bailey lemma has been a powerful tool in the discovery of identities of Rogers-Ramanujan type and also ordinary and basic hypergeometric series identities. The mechanism of Bailey lemma has also led to the concepts of Bailey pair and Bailey chain. In the present work certain new WP-Bailey pairs have been established. We also have deduced a number of basic hypergeometric series identities as an application of new WP-Bailey pairs.

참고문헌 (22)

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관련 논문AI추천

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