Computation of several Hessenberg determinants
DOI10.1515/ms-2017-0445zbMath1469.15009OpenAlexW3113394300MaRDI QIDQ5145770
Feng Qi, Issam Kaddoura, Omran Kouba
Publication date: 21 January 2021
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://osf.io/x4unj/
derivativebinomial coefficientexplicit formularecoveryrising factorialfalling factorialHessenberg determinanttridiagonal determinant
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Several closed expressions for the Euler numbers
- Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers
- Derivatives of tangent function and tangent numbers
- Two closed forms for the Bernoulli polynomials
- Laplace type integral expressions for a certain three-parameter family of generalized Mittag-Leffler functions with applications involving complete monotonicity
- A closed form for the Stirling polynomials in terms of the Stirling numbers
- Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
- Alternative proofs of some formulas for two tridiagonal determinants
- Closed forms for derangement numbers in terms of the Hessenberg determinants
- Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
- RETRACTED ARTICLE: A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant
- Some determinantal expressions and recurrence relations of the Bernoulli polynomials
- Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions
- Some properties of central Delannoy numbers
- Closed formulas and identities on the Bell polynomials and falling factorials.
- Monotonicity of ratio between the generalized logarithmic means
- A recovery of two determinantal representations for derangement numbers
- INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS
- Two Nice Determinantal Expressions and A Recurrence Relation for the Apostol--Bernoulli Polynomials
- SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
- A diagonal recurrence relation for the Stirling numbers of the first kind
- Notes on two kinds of special values for the Bell polynomials of the second kind
- Scalar, Vector, and Matrix Mathematics
- Complete monotonicity of the logarithmic mean
- Combinatorial Identities for Stirling Numbers
This page was built for publication: Computation of several Hessenberg determinants