@article{Kim:2017aa,
    Abstract = {In this paper, we introduce two differential equations arising from the generating function of the Catalan numbers which are `inverses'to each other in a certain sense. From these differential equations, we obtain some new and explicit identities for Catalan and higher-order Catalan numbers. In addition, by other means than differential equations, we also derive some interesting identities involving Catalan numbers which are of arithmetic and combinatorial nature.},
    Author = {Kim, D. S. and Kim, T.},
    File = {A New Approach to Catalan Numbers Using Diﬀerential Equations - Kim-Kim2017\_Article\_ANewApproachToCatalanNumbersUs - a - j.pdf},
    ISBN = {1555-6638},
    Journal = {Russian Journal of Mathematical Physics},
    Number = {4},
    Pages = {465--475},
    Title = {A new approach to Catalan numbers using differential equations},
    URL = {https://doi.org/10.1134/S1061920817040057},
    Volume = {24},
    Year = {2017},
    bdsk-url-1 = {https://doi.org/10.1134/S1061920817040057},
    da = {2017/10/01},
    date-added = {2020-10-18 14:49:17 +0200},
    date-modified = {2020-10-18 14:49:17 +0200},
    id = {Kim2017},
    ty = {JOUR},
    doi = {10.1134/S1061920817040057}
}

@article{Kim:2017aa, Abstract = {In this paper, we introduce two differential equations arising from the generating function of the Catalan numbers which are `inverses'to each other in a certain sense. From these differential equations, we obtain some new and explicit identities for Catalan and higher-order Catalan numbers. In addition, by other means than differential equations, we also derive some interesting identities involving Catalan numbers which are of arithmetic and combinatorial nature.}, Author = {Kim, D. S. and Kim, T.}, File = {A New Approach to Catalan Numbers Using Diﬀerential Equations - Kim-Kim2017_Article_ANewApproachToCatalanNumbersUs - a - j.pdf}, ISBN = {1555-6638}, Journal = {Russian Journal of Mathematical Physics}, Number = {4}, Pages = {465--475}, Title = {A new approach to Catalan numbers using differential equations}, URL = {https://doi.org/10.1134/S1061920817040057}, Volume = {24}, Year = {2017}, bdsk-url-1 = {https://doi.org/10.1134/S1061920817040057}, da = {2017/10/01}, date-added = {2020-10-18 14:49:17 +0200}, date-modified = {2020-10-18 14:49:17 +0200}, id = {Kim2017}, ty = {JOUR}, doi = {10.1134/S1061920817040057} }