Some formulas for a family of numbers analogous to the higher-order Bernoulli numbers
Journal of integer sequences, Tome 17 (2014) no. 4
In this paper the authors establish several formulas and results for the $D$ numbers $D^{(k)}(2n)$ and $d^{(k)}(2n)$, which are analogous to the higher-order Bernoulli numbers. Some applications of these families of $D$ numbers are also presented.
Keywords:
Bernoulli polynomial, Bernoulli number, D number, D number of the second kind, nörlund number, central factorial number of the first kind, Catalan's constant, clausenian hypergeometric series
@article{JIS_2014__17_4_a3,
author = {Liu, Guo-Dong and Srivastava, H.M. and Wang, Hai-Qing},
title = {Some formulas for a family of numbers analogous to the higher-order {Bernoulli} numbers},
journal = {Journal of integer sequences},
year = {2014},
volume = {17},
number = {4},
zbl = {1285.11037},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a3/}
}
TY - JOUR AU - Liu, Guo-Dong AU - Srivastava, H.M. AU - Wang, Hai-Qing TI - Some formulas for a family of numbers analogous to the higher-order Bernoulli numbers JO - Journal of integer sequences PY - 2014 VL - 17 IS - 4 UR - http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a3/ LA - en ID - JIS_2014__17_4_a3 ER -
Liu, Guo-Dong; Srivastava, H.M.; Wang, Hai-Qing. Some formulas for a family of numbers analogous to the higher-order Bernoulli numbers. Journal of integer sequences, Tome 17 (2014) no. 4. http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a3/