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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.
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참고문헌 (22)
참고문헌 신청
A. Verma / 1983 / Certain summation formulae for q-series / J. Indian Math. Soc 47 (1-4) : 71 ~ 85
D. M. Bressoud / 1981 / Some identities for terminating q-series / Math. Proc. Cambridge Phi-los. Soc 89 (2) : 211 ~ 223
G. E. Andrews / 1974 / A Genaral theory of identities of the Rogers-Ramanujan type / Bull. Amer. Math. Soc 80 : 1033 ~ 1052
G. E. Andrews / 1974 / An analytic generalization of the Rogers-Ramanujan identities for odd moduli / Proc. Nat. Acad. Sci. USA 71 : 4082 ~ 4085
G. E. Andrews / 1984 / Multiple series Rogers-Ramanujan type identities / Pacific J. Math 114 (2) : 267 ~ 283
D. M. Bressoud / 1981 / Some identities for terminating q-series / Math. Proc. Cambridge Phi-los. Soc 89 (2) : 211 ~ 223
G. E. Andrews / 1974 / A Genaral theory of identities of the Rogers-Ramanujan type / Bull. Amer. Math. Soc 80 : 1033 ~ 1052
G. E. Andrews / 1974 / An analytic generalization of the Rogers-Ramanujan identities for odd moduli / Proc. Nat. Acad. Sci. USA 71 : 4082 ~ 4085
G. E. Andrews / 1984 / Multiple series Rogers-Ramanujan type identities / Pacific J. Math 114 (2) : 267 ~ 283
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