Ramanujan Cubic Polynomials of the Second Kind
Roman Wituła
Institute of Mathematics
Silesian University of Technology
Kaszubska 23
Gliwice 44-100
Poland
Abstract:
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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