The renormalizing series of some integral equations

作者:Candelpergher B*; Grandou T
来源:Theoretical and Mathematical Physics, 2010, 163(2): 653-665.
DOI:10.1007/s11232-010-0048-9

摘要

We consider integral equations for which the perturbation expansion gives a power series in a parameter h whose coefficients are divergent integrals. We eliminate the divergent integrals by introducing a renormalizing Z(t, h) series in the minimal subtraction scheme. We investigate the convergence of the formal Z series in relation to the kernels of the integral equations. We find a relation of the renormalizing series to the Lagrange inversion series and also some other relations.

  • 出版日期2010-5

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