The Bell Polynomials and Numbers
Some identities on r central factorial numbers and r central Bell polynomials
... factorial numbers of the second and first kinds and the extended r-central Bell polynomials, as extended versions and central analogues of some previously introduced numbers and ...these ...
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On Polynomials Rn(x) Related to the Stirling Numbers and the Bell Polynomials Associated with the p Adic Integral on
... On Polynomials Rn x Related to the Stirling Numbers and the Bell Polynomials Associated with the p-Adic Integral on p Hui Young Lee*, Cheon Seoung Ryoo Department of Mathematics, Han[r] ...
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Uni…ed Degenerate Central Bell Polynomials
... central Bell polynomials and numbers and presented several relations and identities for these polynomials and ...the Bell polynomials by using and without using umbral calculus ...
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Laguerre type Bell polynomials
... The Bell polynomials [1] appear in different ...these polynomials have been applied even in many other contexts, such as the Blissard problem (see [20, page 46]), the representation of Lucas ...
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Some Identities for a Sequence of Unnamed Polynomials Connected with the Bell Polynomials
... Stirling numbers s(n, k) and S(n, k) and binomial coefficients n k , employing properties of the Bell polynomials of the second kind B(n, k), and utilizing a higher order derivative formula for the ...
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Some Inequalities of the Bell Polynomials
... the Bell polynomials, with the help of the Fa` a di Bruno formula, properties of the Bell polynomials of the second kind, and the inversion theorem for the Stirling numbers of the first ...
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Generalizations of the Bell Numbers and Polynomials and Their Properties
... the Bell numbers and polynomials, establish explicit formulas and inversion for- mulas for these generalizations in terms of the Stirling numbers of the first and second kinds with the help of ...
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Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers
... the Bell polynomials of the second kind, and the inversion formulas of binomial numbers and the Stirling numbers of the first and second kinds, the authors simplify meaningfully and ...
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Simplifying Coefficients in Differential Equations Associated with Higher Order Bernoulli Numbers of the Second Kind
... the Bell polynomials of the second kind, and an inversion formula for the Stirling numbers of the first and second kinds, the authors establish meaning- fully and significantly two identities which ...
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Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials
... The Bell polynomials were studied extensively by E. T. Bell in 1934 ...These polynomials naturally occur from differentiating a composite function several ...times. Bell ...
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Degenerate Poisson Distribution
... The main purpose of this paper is to introduce and investigate degenerate Poisson distrib- ution which is a new extension of the Poisson distribution including the degenerate expo- nential function. We then provide ...
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Identities related to integer partitions and complete Bell polynomials
... Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution, ...bipartitional polynomials and ...
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A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials
... 7. Kim, M-S, Lee, JH: On sums of products of the extended q-Euler numbers. J. Math. Anal. Appl. 397, 522-528 (2013) 8. Kim, M-S: On Euler numbers, polynomials and related p-adic integrals. J. Number ...
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8. Integral operators containing Sheffer polynomials
... Abstract. The aim of the present paper is to introduce new type integral operators which involve Sheffer polynomials. We investigate approximation properties of the our operators with the help of the universal ...
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Search | Preprints
... Hermite-Fubini numbers and polynomials and investigate some properties of these ...these polynomials by summation techniques ...Hermite-Fubini numbers and polynomials by using ...
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Generalizations of Bernoulli's Numbers and Polynomials
... The authors were supported in part by NNSF (#10001016) of China, SF for the Prominent Youth of Henan Province, SF of Henan Innovation Talents at Universities, NSF of Henan Province (#004[r] ...
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Fractional Orders of the Generalized Bessel Matrix Polynomials
... Abstract. This paper presents and investigates generalized Bessel matrix polynomials (GBMPs) with order α ∈ < (the set of real numbers). The given result is supposed to be an enhanced and a generalized ...
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The twisted Daehee numbers and polynomials
... Daehee numbers and polynomials and investigate some properties of those numbers and ...Daehee numbers are closely related to higher-order Bernoulli numbers and Bernoulli numbers ...
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23. Functions of $\alpha$-slow increase
... Note that the special case of 1-slow increase is introduced recently by R. Jakim- czuk [3, 4] as a tool to investigate the asymptotic formula of Bell numbers. Further development on the subject can be found ...
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A Note on the Genocchi Numbers and Polynomials
... q-Genocchi numbers. By this reason, we consider q-Genocchi numbers and polynomials which are ...q-Genocchi numbers and polynomials to treat in this paper can be represented by p-adic ...
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