Results 21 to 30 of about 480 (59)
A determinantal expression and a recursive relation of the Delannoy numbers
Acta Universitatis Sapientiae: Mathematica, 2021 In the paper, by a general and fundamental, but non-extensively circulated, formula for derivatives of a ratio of two differentiable functions and by a recursive relation of the Hessenberg determinant, the author finds a new determinantal expression and ...
Qi Feng
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Two types of hypergeometric degenerate Cauchy numbers
Open Mathematics, 2020 In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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Determinants of two kinds of matrices whose elements involve sine functions
Open Mathematics, 2019 The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Wituła and Słota.
Różański Michał
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The spectrum of two interesting stochastic matrices
Special Matrices, 2020 The spectrum of two interesting stochastic matrices appearing in an engineering paper is completely determined. As a result, an inequality conjectured in that paper, involving two second largest eigenvalues, is easily proved.
Anghel N.
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On some special Legendre sums of the form
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We prove that sums of the form with f(X), g(X) ∈ ℤ[X] can be explicitly computed whenever f and g are subject to some certain conditions which are defined in the paper.
Andrica Dorin, Crişan Vlad
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Eulerian polynomials as moments, via exponential Riordan arrays [PDF]
, 2011 Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the "descending power" Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we ...
Barry, Paul
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Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 5, Page 541-556, September 2024.Abstract An efficient, multidimensional instrument is needed to screen non‐optimal prenatal parental representations predictive of postnatal parenting behavior and child attachment. The present work aimed to revise and validate the Prenatal Caregiving Expectations Questionnaire—Revised (PCEQ‐R).
Katrine Røhder +5 more
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Determinants of tridiagonal matrices over some commutative finite chain rings
Special MatricesDiagonal matrices and their generalization in terms of tridiagonal matrices have been of interest due to their nice algebraic properties and wide applications.
Jitman Somphong, Sricharoen Yosita
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Some conjectures on the ratio of Hankel transforms for sequences and series reversion [PDF]
, 2007 For each element of certain families of integer sequences, we study the term-wise ratios of the Hankel transforms of three sequences related to that element by series reversion.
Barry, P.
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On three-dimensional q-Riordan arrays
Demonstratio MathematicaIn this article, we define three-dimensional q-Riordan arrays and q-Riordan representations for these arrays. Also, we give four cases of infinite multiplication three-dimensional matrices of these arrays.
Fang Gang +4 more
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