In this paper, we show that the geometric polynomials can be expressed as sums over integer partitions in two different ways. New formulas involving geometric numbers, Bernoulli numbers, and Genocchi numbers are derived in this context.
机构:
Univ Stellenbosch, Dept Math Sci, Div Math, ZA-7602 Matieland, South AfricaUniv Stellenbosch, Dept Math Sci, Div Math, ZA-7602 Matieland, South Africa
机构:
Univ Fed Rio Grande do Sul, DMPA, IME, BR-90509900 Porto Alegre, RS, Brazil
CMPA, BR-90040130 Porto Alegre, RS, BrazilUniv Estadual Campinas, DM, IMECC, CP 6065, BR-13083970 Campinas, SP, Brazil
Matte, M. L.
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY,
2018,
49
(04):
: 811
-
847