Results 11 to 20 of about 1,179 (264)
Generalized monotone triangles [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In a recent work, the combinatorial interpretation of the polynomial $\alpha (n; k_1,k_2,\ldots,k_n)$ counting the number of Monotone Triangles with bottom row $k_1 < k_2 < ⋯< k_n$ was extended to weakly decreasing sequences $k_1 ≥k_2 ≥⋯≥k_n$.
Lukas Riegler
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New results on the q-generalized Bernoulli polynomials of level m [PDF]
Demonstratio Mathematica, 2019 This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of
Urieles Alejandro +3 more
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Generalizations of some results on generalized polynomial identities
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: Motivated by the generalized polynomial identities by \textit{A. Ali} et al. [Commun. Algebra 42, No. 9, 3699--3707 (2014; Zbl 1298.16029)] and by \textit{M. P. Eroǧlu} and \textit{T.-K. Lee} [Commun. Algebra 45, No. 10, 4550--4556 (2017; Zbl 1368.16044)], our aim is to generalize some of the results in these works.
EROĞLU, MÜNEVVER PINAR +1 more
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Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials [PDF]
Advances in Mathematical Physics, 2018 Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
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Analytical solutions to some generalized and polynomial eigenvalue problems
Special Matrices, 2021 It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
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Majorization Inequalities via Peano's Representation of Hermite's Polynomial
International Journal of Analysis and Applications, 2018 The Peano's representation of Hermite polynomial and new Green functions are used to construct the identities related to the generalization of majorization type inequalities in discrete as well as continuous case.
N. Latif, N. Siddique, J. Pecaric
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A new class of generalized polynomials associated with Hermite and Bernoulli polynomials
Le Matematiche, 2015 In this paper, we introduce a new class of generalized polynomials associated with the modified Milne-Thomson's polynomials Φ_{n}^{(α)}(x,ν) of degree n and order α introduced by Derre and Simsek.The concepts of Bernoulli numbers B_n, Bernoulli ...
M. A. Pathan, Waseem A. Khan
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Mathematics, 2022 The subject of convex analysis and integral inequalities represents a comprehensive and absorbing field of research within the field of mathematical interpretation.
Muhammad Tariq +5 more
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Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences
Journal of Mathematics, 2022 In the 1970s, Gian-Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim-Kim, umbral calculus is generalized called λ-umbral calculus.
Sang Jo Yun, Jin-Woo Park
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Identities for the Generalized Fibonacci Polynomial
Integers, 2017 See the abstract in the attached pdf.
Rigoberto Flórez +2 more
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