The inverse of a triangular matrix and several identities of the Catalan numbers
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Publication:5091842
DOI10.2298/AADM190118018QOpenAlexW2982461656MaRDI QIDQ5091842
Publication date: 27 July 2022
Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/aadm190118018q
Catalan numberintegral representationgenerating functioninverse matrixChebyshev polynomials of the second kind
Exact enumeration problems, generating functions (05A15) Special sequences and polynomials (11B83) Inverse theorems in approximation theory (41A27)
Related Items (10)
Several explicit and recursive formulas for generalized Motzkin numbers ⋮ Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers ⋮ Unnamed Item ⋮ Explicit formulas and recurrence relations for generalized Catalan numbers ⋮ Integral representations, monotonic properties, and inequalities on extended central binomial coefficient ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ A Matrix Related to Stern Polynomials and the Prouhet-Thue-Morse Sequence ⋮ Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function ⋮ Some properties of the Hermite polynomials ⋮ Unnamed Item
Cites Work
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- An integral representation, complete monotonicity, and inequalities of the Catalan numbers
- SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
- Catalan Numbers
- An Improper Integral, the Beta Function, the Wallis Ratio, and the Catalan Numbers
- Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities
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