# Four families of orthogonal polynomials of C2 and symmetric and antisymmetric generalizations of sine and cosine functions

@article{Motlochov2011FourFO, title={Four families of orthogonal polynomials of C2 and symmetric and antisymmetric generalizations of sine and cosine functions}, author={Lenka Motlochov{\'a} and Jir{\'i} Patera}, journal={arXiv: Mathematical Physics}, year={2011} }

Four families of generalizations of trigonometric functions were recently introduced. In the paper the functions are transformed into four families of orthogonal polynomials depending on two variables. Recurrence relations for construction of the polynomials are presented. Orthogonality relations of the four families of polynomials are found together with the appropriate weight fuctions. Tables of the lowest degree polynomials are shown. Numerous trigonometric-like identities are found. Two of… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 19 REFERENCES

## Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## A NEW CLASS OF SYMMETRIC FUNCTIONS

VIEW 1 EXCERPT