Results 1 to 10 of about 1,964 (241)
Special Values of the Bell Polynomials of the Second Kind for Some Sequences and Functions [PDF]
Journal of Mathematical Analysis and Applications, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi, Yonghong Yao, Dongkyu Lim
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AxiomsThis paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families.
Awatif Muflih Alqahtani +3 more
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Fractal and Fractional, 2023 The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research.
Rabab Alyusof, Shahid Ahmmad Wani
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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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Properties of Certain New Special Polynomials Associated With Sheffer Sequences [PDF]
Tbilisi Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Subuhi Khan, Mahvish Ali
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Finding Mixed Families of Special Polynomials Associated With Appell Sequences
Journal of Mathematical Analysis and Applications, 2017 In this paper, certain mixed special polynomial families associated with Appell sequences are introduced and their properties are established. Further, operational rules providing connections between these families and the known special polynomials are established, which are used to derive the identities and results for the members of these new ...
Subuhi Khan, Mahvish Ali
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Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
Mathematics, 2021 The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special cases,
Mihaela Ribičić Penava
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Several Characterizations of Δh-Doped Special Polynomials Associated with Appell Sequences
Symmetry, 2023 The study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced. This article deals with the inducement of Δh tangent-based Appell polynomials and derivation of certain of its characterizations such as explicit form, determinant form, monomiality principle, etc ...
Rabab Alyusof, Shahid Ahmad Wani
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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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