Results 1 to 10 of about 1,081 (189)

Bell-Based Bernoulli Polynomials with Applications [PDF]

open access: yesAxioms, 2021
In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind.
Ugur Duran, Serkan Araci, Mehmet Acikgoz
doaj   +5 more sources

Some Identities of Degenerate Bell Polynomials

open access: yesMathematics, 2020
The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim   +3 more
doaj   +3 more sources

Some identities for degenerate complete and incomplete r-Bell polynomials

open access: yesJournal 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
doaj   +2 more sources

Some identities of Lah–Bell polynomials [PDF]

open access: yesAdvances in Difference Equations, 2020
Recently, the nth Lah–Bell number was defined as the number of ways a set of n elements can be partitioned into nonempty linearly ordered subsets for any nonnegative integer n.
Yuankui Ma   +4 more
doaj   +3 more sources

On Generalized Class of Bell Polynomials Associated with Geometric Applications

open access: yesAxioms
In this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi   +2 more
doaj   +3 more sources

A Note on Some Identities of New Type Degenerate Bell Polynomials

open access: yesMathematics, 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
doaj   +3 more sources

The 2-successive partial Bell polynomials [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
In this paper, we discuss a new class of partial Bell polynomials. The first section gives an overview of partial Bell polynomials and their related 2-successive Stirling numbers.
Meriem Tiachachat, Miloud Mihoubi
doaj   +1 more source

Poly-central factorial sequences and poly-central-Bell polynomials

open access: yesAdvances in Difference Equations, 2021
In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1 $k = 1$
Hye Kyung Kim, Taekyun Kim
doaj   +1 more source

Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials

open access: yesOpen Mathematics, 2021
The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show
Kim Taekyun   +3 more
doaj   +1 more source

Some identities on truncated polynomials associated with Lah-Bell polynomials

open access: yesApplied Mathematics in Science and Engineering, 2023
Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce
Lingling Luo   +3 more
doaj   +1 more source

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