Abstract
It is shown how the combination of associated hypergeometric functions, in the case of equal vector and axial couplings, satisfies an analytic integral equation on the right-hand cut with Cauchy-singular kernel having the same discontinuity as the original integral equation. This is obtained by using an extension of the quadratic transformation of the Gauss function. A projective quasi-solution is found, fixing an accurate value of the ratioGA/GV=1.154, due to radiative corrections, once favored by Schwinger as twice the Euler numerical constant. Also noticed is a quasi-solution withɛ=d−4=15% andGA=GV indicating possible functioning between Minkowski and de Sitter spaced=5. Finally, evaluation of the conjugate function by the initial—discontinuous—integral operator allows one to understand both the massless confluent limit obtained by the author (J.-P. Lebrun,Nuovo Cimento A,103, 1735 (1990);104, 1071 (1991)) and the one-half the expected rate mentioned in solar-neutrino observations.
Published Version
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