Pétréolle, Mathias; Sokal, Alan D.; Zhu, Bao-Xuan Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001 Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023). MSC: 05-02 33-02 05A15 05A19 42C05 33C05 33C20 33D05 05A20 05C30 05E05 15B05 15B48 30B70 30E05 44A60 11B68 11A55 11B75 PDFBibTeX XMLCite \textit{M. Pétréolle} et al., Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1528.05001) Full Text: DOI arXiv
Kauers, Manuel; Koutschan, Christoph Some D-finite and some possibly D-finite sequences in the OEIS. (English) Zbl 07732122 J. Integer Seq. 26, No. 4, Article 23.4.5, 42 p. (2023). MSC: 11B37 68W30 05A15 33C20 PDFBibTeX XMLCite \textit{M. Kauers} and \textit{C. Koutschan}, J. Integer Seq. 26, No. 4, Article 23.4.5, 42 p. (2023; Zbl 07732122) Full Text: arXiv Link
Oliver, Kamilla; Prodinger, Helmut Summations in Bernoulli’s triangles via generating functions. (English) Zbl 1352.05016 J. Integer Seq. 20, No. 1, Article 17.1.3, 9 p. (2017). MSC: 05A15 05A19 11B39 PDFBibTeX XMLCite \textit{K. Oliver} and \textit{H. Prodinger}, J. Integer Seq. 20, No. 1, Article 17.1.3, 9 p. (2017; Zbl 1352.05016) Full Text: EMIS
Kauers, Manuel; Koutschan, Christoph A Mathematica package for \(q\)-holonomic sequences and power series. (English) Zbl 1180.33030 Ramanujan J. 19, No. 2, 137-150 (2009). MSC: 33F10 05A30 11B65 39A10 68N30 PDFBibTeX XMLCite \textit{M. Kauers} and \textit{C. Koutschan}, Ramanujan J. 19, No. 2, 137--150 (2009; Zbl 1180.33030) Full Text: DOI
Kauers, Manuel; Zimmermann, Burkhard Computing the algebraic relations of \(C\)-finite sequences and multisequences. (English) Zbl 1163.11084 J. Symb. Comput. 43, No. 11, 787-803 (2008). Reviewer: Zhi-Wei Sun (Nanjing) MSC: 11Y16 11B37 PDFBibTeX XMLCite \textit{M. Kauers} and \textit{B. Zimmermann}, J. Symb. Comput. 43, No. 11, 787--803 (2008; Zbl 1163.11084) Full Text: DOI
Mansour, Toufik; Schork, Matthias; Sun, Yidong Motzkin numbers of higher rank: generating function and explicit expression. (English) Zbl 1141.05308 J. Integer Seq. 10, No. 7, Article 07.7.4, 11 p. (2007). MSC: 05A15 11B37 11B83 PDFBibTeX XMLCite \textit{T. Mansour} et al., J. Integer Seq. 10, No. 7, Article 07.7.4, 11 p. (2007; Zbl 1141.05308) Full Text: arXiv EuDML EMIS
Paule, Peter; Schneider, Carsten Truncating binomial series with symbolic summation. (English) Zbl 1120.05005 Integers 7, No. 1, Paper A22, 9 p. (2007). MSC: 05A10 05A19 33F10 11B65 PDFBibTeX XMLCite \textit{P. Paule} and \textit{C. Schneider}, Integers 7, No. 1, Paper A22, 9 p. (2007; Zbl 1120.05005) Full Text: EuDML
Paule, Peter; Schneider, Carsten Computer proofs of a new family of harmonic number identities. (English) Zbl 1039.11007 Adv. Appl. Math. 31, No. 2, 359-378 (2003). Reviewer: Laurenţiu Panaitopol (Bucureşti) MSC: 11B65 11Y16 33F10 PDFBibTeX XMLCite \textit{P. Paule} and \textit{C. Schneider}, Adv. Appl. Math. 31, No. 2, 359--378 (2003; Zbl 1039.11007) Full Text: DOI
Koepf, Wolfram Software for the algorithmic work with orthogonal polynomials and special functions. (English) Zbl 0946.33001 ETNA, Electron. Trans. Numer. Anal. 9, 77-101 (1999). Reviewer: David M.Bressoud (Saint Paul) MSC: 33-02 33C45 11B37 34A30 33C20 68W30 PDFBibTeX XMLCite \textit{W. Koepf}, ETNA, Electron. Trans. Numer. Anal. 9, 77--101 (1999; Zbl 0946.33001) Full Text: arXiv EuDML EMIS
Krattenthaler, Christian Advanced determinant calculus. (English) Zbl 0923.05007 Sémin. Lothar. Comb. 42, B42q, 67 p. (1999). Reviewer: L.A.Székely (Columbia/South Carolina) MSC: 05A19 05A10 05A15 05A18 05A30 05E15 11B68 11B73 11C20 05A17 05E10 15A15 33C65 33D70 PDFBibTeX XMLCite \textit{C. Krattenthaler}, Sémin. Lothar. Comb. 42, B42q, 67 p. (1999; Zbl 0923.05007) Full Text: arXiv EuDML EMIS
Panholzer, Alois; Prodinger, Helmut Towards a more precise analysis of an algorithm to generate binary trees: A tutorial. (English) Zbl 0927.11006 Comput. J. 41, No. 3, 201-204 (1998). Reviewer: Alexander Pott (Magdeburg) MSC: 11B37 05A15 68Q25 68R10 PDFBibTeX XMLCite \textit{A. Panholzer} and \textit{H. Prodinger}, Comput. J. 41, No. 3, 201--204 (1998; Zbl 0927.11006) Full Text: DOI Link
Strehl, Volker Binomial identities – combinatorial and algorithmic aspects. (English) Zbl 0823.33003 Discrete Math. 136, No. 1-3, 309-346 (1994). Reviewer: R. Askey (Madison) MSC: 33C20 05A19 11B65 05A15 PDFBibTeX XMLCite \textit{V. Strehl}, Discrete Math. 136, No. 1--3, 309--346 (1994; Zbl 0823.33003) Full Text: DOI