Results 61 to 70 of about 1,461 (202)
Some identities on degenerate Bell polynomials and their related identities [PDF]
, 2022 Taekyun Kim, Dae San Kim
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Remarks on Bell and higher order Bell polynomials and numbers
Cogent Mathematics, 2016 We recover a recurrence relation for representing in an easy form the coefficients An,k of the Bell polynomials, which are known in literature as the partial Bell polynomials. Several applications in the framework of classical calculus are derived, avoiding the use of operational techniques. Furthermore, we generalize this result to the coefficients An,
Natalini, P., Ricci P. E.
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Bell based Apostol type polynomials and its properties [PDF]
, 2022 Nabiullah Khan, Saddam Husain
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Journal of Approximation TheoryIn this paper, generalized Bell polynomials $(\Be_n^ϕ)_n$ associated to a sequence of real numbers $ϕ=(ϕ_i)_{i=1}^\infty$ are introduced. Bell polynomials correspond to $ϕ_i=0$, $i\ge 1$. We prove that when $ϕ_i\ge 0$, $i\ge 1$: (a) the zeros of the generalized Bell polynomial $\Be_n^ϕ$ are simple, real and non positive; (b) the zeros of $\Be_{n+1}^ϕ ...
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Abstract and Applied Analysis, 2014 The bilinear form, bilinear Bäcklund transformation, and Lax pair of a (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived through Bell polynomials. The integrable constraint conditions on variable coefficients
Wen-guang Cheng, Biao Li, Yong Chen
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Inverse relations and reciprocity laws involving partial Bell\n polynomials and related extensions [PDF]
, 2020 Alfred Schreiber
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On degenerate central complete bell polynomials
Applicable Analysis and Discrete Mathematics, 2019 In this paper, we consider of generalized central complete and incomplete Bell polynomials called degenerate central complete and incomplete Bell polynomials. These polynomials are generalizations of the recently introduced central complete Bell polynomials and `degenerate' analogues for the central complete and incomplete Bell polynomials.
Gwan-Woo Jang, Taekyun Kim, Dae San Kim
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Recurrence for probabilistic extension of Dowling polynomials
Open MathematicsSpivey found a remarkable recurrence relation for Bell numbers, which was generalized to that for Bell polynomials by Gould-Quaintance. The aim of this article is to generalize their recurrence relation for Bell polynomials to that for the probabilistic ...
Ma Yuankui +3 more
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Arab Journal of Mathematical Sciences, 2014 We establish some formulas relating multipartitional polynomials to multinomial polynomials. They appear, respectively, as a natural extension of Bell polynomials and of polynomials of binomial type.
Miloud Mihoubi, Hacène Belbachir
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