Linear Differential Resolvents for Quadratic Polynomials
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Duration:
4:53
Source:
YouTube
Author:
nahaymath
Found: Nov 7, 2009
) of a "general" monic quadratic polynomial: one whose two coefficients, e1 and e2, are differentially transcendental - ie there exists no algebraic relation among e1 & e2 and any of their derivatives over any field of constants - I misspoke myself in the video and called e1 and e2 constants - quite the opposite! - none of their derivatives is assumed to vanish! And, I present the powersum formula for 2 of the 5 coefficient-functions of this LDR. ... linear differential resolvent equation ...
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linear, differential, resolvent, equation, powersum, roots, elementary, symmetric, functions, constants, transcendental, algebraic |
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