Family of curves based on Riemann zeta function

Authors:
Carlo Cattani
Affiliations:
dipMat, University of Salerno, Fisciano, SA, Italy
Venue:
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part IV
Year:
2011

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Abstract

In this paper some orthogonal functions defined by the Riemann zeta function are studied. In particular, it is shown that they generalize the harmonic functions and are related to the harmonic wavelets. Through their plots it is seen that they are bounded, self crossing with some typical symmetries.