Some applications of the generalized Eulerian numbers
Grzegorz Rządkowski , Małgorzata Urlińska
AbstractIn the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is related to an autonomous first-order differential equation, solutions of which are used to obtain integral representations of some numbers, including the Bernoulli numbers.
|Journal series||Journal of Combinatorial Theory Series A, ISSN 0097-3165|
|Publication size in sheets||0.6|
|Keywords in English||Eulerian numberSecond-order Eulerian numberBernoulli numberAutonomous differential equationIntegral representation|
|ASJC Classification||; ;|
|Score||= 100.0, 17-06-2020, ArticleFromJournal|
|Publication indicators||= 1; = 0; : 2018 = 1.41; : 2018 = 0.958 (2) - 2018=1.071 (5)|
|Citation count*||3 (2020-09-18)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.