Results 41 to 50 of about 1,461 (202)
A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 2019 Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim +3 more
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General identities on Bell polynomials
Computers & Mathematics with Applications, 2009 AbstractThe exponential partial Bell polynomials are polynomials in an infinite number of variables x1,x2,…, and it is well-known that some special combinatorial sequences, e.g., Stirling numbers of both kinds, Lah numbers and idempotent numbers, can be obtained from the Bell polynomials.
Tianming Wang, Weiping Wang
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Fractal and FractionalThis study introduces a novel generalized class of special polynomials using a fractional operator approach. These polynomials are referred to as the generalized Gould–Hopper–Bell-based Appell polynomials.
Rabeb Sidaoui +6 more
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Some identities related to degenerate r-Bell and degenerate Fubini polynomials
Applied Mathematics in Science and Engineering, 2023 Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
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MathematicsThis paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,
Yasir A. Madani +5 more
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New Bell–Sheffer Polynomial Sets [PDF]
Axioms, 2018 In recent papers, new sets of Sheffer and Brenke polynomials based on higher order Bell numbers, and several integer sequences related to them, have been studied. The method used in previous articles, and even in the present one, traces back to preceding results by Dattoli and Ben Cheikh on the monomiality principle, showing the possibility to derive ...
P. Natalini, P. E. Ricci
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Estimates for the Coefficients of Subclasses Defined by the Bell Distribution of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials [PDF]
, 2023 Ala Amourah +4 more
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On Generalized Bell Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2011 It is shown that the sequence of the generalized Bell polynomials Sn(x) is convex under some restrictions of the parameters involved. A kind of recurrence relation for Sn(x) is established, and some numbers related to the generalized Bell numbers and their properties are investigated.
Roberto B. Corcino, Cristina B. Corcino
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The role of Bell polynomials in integration
Journal of Computational and Applied Mathematics, 2001 The evaluation of some general and some specific integrals in terms of Bell polynomials is discussed. The paper is also concerned with estimates of the lengths of the resulting expressions of the evaluation: the number of distinct terms.
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Representations of modified type 2 degenerate poly-Bernoulli polynomials
AIMS Mathematics, 2022 Research on the degenerate versions of special polynomials provides a new area, introducing the λ-analogue of special polynomials and numbers, such as λ-Sheffer polynomials.
Jongkyum Kwon +3 more
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