Results 21 to 30 of about 1,278 (205)
Study of degenerate derangement polynomials by λ-umbral calculus
Demonstratio Mathematica, 2023 In the 1970s, Rota began to build completely rigid foundations for the theory of umbral calculus based on relatively modern ideas of linear functions and linear operators.
Yun Sang Jo, Park Jin-Woo
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Matrix Representations of a Special Polynomial Sequence in Arbitrary Dimension [PDF]
Computational Methods and Function Theory, 2012 The paper is devoted to a special polynomial sequence of binomial type in \((n+1)\) real variables with values in the real vector space of paravectors in a Clifford algebra. It is shown that here the matrix multiplication admits a type of factorization that overcomes the restrictions of non-commutativity and solves some problems connected with a ...
Cação, I. +2 more
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New asymptotic expansions on hyperfactorial functions
Comptes Rendus. Mathématique, 2021 In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we establish four general asymptotic expansions for the hyperfactorial functions $\prod _{k=1}^n {k^{k^q}}$, which have only odd power terms or even power terms.
Xu, Jianjun
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Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
Mathematics, 2021 The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders.
Jan Chvalina +3 more
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λ-q-Sheffer sequence and its applications
Demonstratio Mathematica, 2022 Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
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Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences
Advances in Difference Equations, 2020 Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
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On the zeros of a special sequence of polynomials [PDF]
Mathematics of Computation, 1982 The zeros of the polynomials P n
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Melham's sums for some Lucas polynomial sequences [PDF]
Notes on Number Theory and Discrete MathematicsA Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
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Algebraic basis of the algebra of block-symmetric polynomials on $\ell_1 \oplus \ell_{\infty}$
Karpatsʹkì Matematičnì Publìkacìï, 2019 We consider so called block-symmetric polynomials on sequence spaces $\ell_1\oplus \ell_{\infty}, \ell_1\oplus c, \ell_1\oplus c_0,$ that is, polynomials which are symmetric with respect to permutations of elements of the sequences.
V.V. Kravtsiv
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On the associated sequences of special polynomials
, 2013 In this paper, we investigate some properties of the associated sequence of Daehee and Changhee polynomials. Finally, we give some interesting identities of associated sequence involving some special polynomials.
Kim, Dae San, Kim, Taekyun, Rim, S.-H.
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