On the derivatives of the Weierstrass functions with respect to their invariants


Abstract


On the basis of earlier results on the differentiation of elliptic functions with respect to the parameter, and by using the homogeneity property of the Weierstrass functions, a closed formula is obtained for the derivatives of the Weierstrass functions with respect to the invariants g<sub>2</sub>,g<sub>3</sub> at fixed argument.The treatment includes also the limiting case δ=0.

DOI Code: 10.1285/i15900932v4n1p57

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