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1896–1996: One hundred years of Volterra integral equations of the first kind

1997; Elsevier BV; Volume: 24; Issue: 2-3 Linguagem: Inglês

10.1016/s0168-9274(97)00013-5

1873-5460

Hermann Brunner,

Mathematical functions and polynomials

We review Vito Volterra's seminal papers (on the inversion of definite integrals) of 1896, with regard to their mathematical results and within the context of Volterra's life and times. The second part of the paper looks briefly at extensions, by Volterra and some of his contemporaries, of those results and then deals with some of the recent developments in the theory and numerical analysis of Volterra integral equations of the first kind.