q-Analogues of three Ramanujan-type formulas for $$1/\pi $$1/π

Author:

Guo Victor J. W.ORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference18 articles.

1. Amdeberhan, T., Zeilberger, D.: Hypergeometricacceleration via the WZ-method, Electron. J. Combin. 4(2),#R3 (1997)

2. Andrews, G.E.: The Theory of Partitions. Cambridge University Press, Cambridge (1998)

3. Ekhad, S.B., Zeilberger, D.: A WZ proof of Ramanujan’s formula for $$\pi $$ π , Geometry, Analysis, and Mechanics, J.M. Rassias (ed.), World Scientific, Singapore, 107–108 (1994)

4. Gasper, G., Rahman, M.: Basic Hypergeometric Series, Second Edition, Encyclopedia of Mathematics and Its Applications, vol. 96. Cambridge University Press, Cambridge (2004)

5. Gessel, I., Stanton, D.: Applications of $$q$$ q -Lagrange inversion to basic hypergeometric series. Trans. Amer. Math. Soc. 277, 173–201 (1983)

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