Results 21 to 30 of about 35,394 (206)
Some properties of degenerate complete and partial Bell polynomials
Advances in Difference Equations, 2021 In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are ...
Taekyun Kim +4 more
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Some identities for degenerate complete and incomplete r-Bell polynomials
Journal of Inequalities and Applications, 2020 In this paper, we study degenerate complete and incomplete r-Bell polynomials. They are generalizations of the recently introduced degenerate r-Bell polynomials and degenerate analogues for the complete and incomplete r-Bell polynomials.
Jongkyum Kwon +3 more
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On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus
Journal of Mathematics, 2023 In this article, we derived various identities between the degenerate poly-Daehee polynomials and some special polynomials by using λ-umbral calculus by finding the coefficients when expressing degenerate poly-Daehee polynomials as a linear combination ...
Sang Jo Yun, Jin-Woo Park
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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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Mathematics, 2022 In this paper, we introduce new class of Bell-based Apostol-type Frobenius–Euler polynomials and investigate some properties of these polynomials. We derive some explicit and implicit summation formulas and their symmetric identities by using different ...
Noor Alam +2 more
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Correlation between Adomian and Partial Exponential Bell Polynomials [PDF]
, 2017 We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the $n$-th Adomian polynomial for any nonlinear operator can be expressed explicitly in terms of the partial ...
Kataria, K. K., Vellaisamy, P.
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The partial r-Bell polynomials [PDF]
Afrika Matematika, 2017 In this paper, we show that the r-Stirling numbers of both kinds, the r-Whitney numbers of both kinds, the r-Lah numbers and the r-Whitney-Lah numbers form particular cases of family of polynomials forming a generalization of the partial Bell polynomials. We deduce the generating functions of several restrictions of these numbers.
Mihoubi, Miloud, Rahmani, Mourad
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Recurrence Relations for Strongly q-Log-Convex Polynomials [PDF]
, 2008 We consider a class of strongly q-log-convex polynomials based on a triangular recurrence relation with linear coefficients, and we show that the Bell polynomials, the Bessel polynomials, the Ramanujan polynomials and the Dowling polynomials are strongly
Arthur L. B. Yang +6 more
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Degenerate Bell polynomials associated with umbral calculus
Journal of Inequalities and Applications, 2020 Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim +4 more
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Identities on Changhee Polynomials Arising from λ-Sheffer Sequences
Complexity, 2022 In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials ...
Byung Moon Kim +3 more
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