Journal of Integer Sequences, Vol. 13 (2010), Article 10.7.5

Ramanujan Cubic Polynomials of the Second Kind

Roman Wituła
Institute of Mathematics
Silesian University of Technology
Kaszubska 23
Gliwice 44-100


We present generalizations of some identities discussed earlier by Shevelev. Moreover, we introduce Ramanujan cubic polynomials of the second kind (RCP2). This new type of cubic polynomial is closely related to the Ramanujan cubic polynomials (RCP) defined by Shevelev. We also give many fundamental properties of RCP2's.

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Received June 17 2010; revised version received July 1 2010. Published in Journal of Integer Sequences, July 9 2010.

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