indices differing by an integer
11—13 of 13 matching pages
A sentence was added at the end of the subsection indicating that for generalizations, see Cohl and Costas-Santos (2020).
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.
the previous constraint was removed. A clarification regarding the correct constraints for Lerch’s transcendent has been added in the text immediately below. In particular, it is now stated that if is not an integer then ; if is a positive integer then ; if is a non-positive integer then can be any complex number.
Suggested by Tom Koornwinder.