Affiliation:
1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
Abstract
Reciprocal series are employed to systematically review convolution sums, orthogonality relations, recurrence relations and reciprocal formulae for several classical number sequences, such as binomial coefficients, Stirling numbers, Bernoulli numbers, and Euler numbers.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference66 articles.
1. Nouvelle mthode pour rsoudre les quations littrales par le moyen des sries;Lagrange;Mmoires l’Acadmie R. Sci. Belles Lett. Berl.,1770
2. Comtet, L. (1974). Advanced Combinatorics, Holland.
3. Generating functions and combinatorial identities;Chu;Glas. Mat. Ser. III,1998
4. Derivative inverse series relations and Lagrange expansion formula;Chu;Int. J. Number Theory,2013
5. Further identities on Catalan numbers;Chu;Discret. Math.,2018