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§22.18(iv) Elliptic Curves and the Jacobi–Abel Addition Theorem… ►For any two points and on this curve, their sum , always a third point on the curve, is defined by the Jacobi–Abel addition law …a construction due to Abel; see Whittaker and Watson (1927, pp. 442, 496–497). …
Abel Summability… ►
Abel Means… ► is a harmonic function in polar coordinates ((1.9.27)), and … ►Here is the Abel (or Poisson) sum of , and has the series representation … ►
The first infinite integral in (2.10.2) converges.
In Equation (1.13.4), the determinant form of the two-argument Wronskian
was added as an equality. In ¶Wronskian (in §1.13(i)), immediately below Equation (1.13.4), a sentence was added indicating that in general the -argument Wronskian is given by , where . Immediately below Equation (1.13.4), a sentence was added giving the definition of the -argument Wronskian. It is explained just above (1.13.5) that this equation is often referred to as Abel’s identity. Immediately below Equation (1.13.5), a sentence was added explaining how it generalizes for th-order differential equations. A reference to Ince (1926, §5.2) was added.