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GENERATION OF GENOCCHI POLYNOMIALS OF FIRST ORDER BY RECURRENCE RELATIONS

By A. F Horadam

Abstract

Genocchi 'polynomials of the first order, Gn(x), are defined [3] by (i.i) tanix) %--^et* as an extension of Genocchi numbers Gn defined in [1]. Following a suggestion by the referee of [3], I show briefly how G2n+i(%) (ft> 1) may be generated by x 2-- x = x (x- 1). Such a possibility is to be expected since by (2.2) x = 0 and x = 1 are zeros of G2n+i(x). For example

Year: 1990
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