On alternating power sums of arithmetic progressions
Létrehozó:
Bazsó, András
Dátum:
2013
Téma:
QA Mathematics / matematika
Tartalmi leírás:
Depending on the parity of the positive integer n, the
alternating power sum
Tk
a;b (n) = bk-(a + b)k+(2a + b)k-: : :+(-1)n-1 (a (n - 1) + b)k :
can be extended to a polynomial in two ways, say as Tk+
a;b(x) and
Tk-
a;b(x). In this note we classify all the possible decompositions of
these polynomials.
Bazsó, András (2013) On alternating power sums of arithmetic progressions. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 24 (12). pp. 945-949. ISSN 1065-2469
