Stirling Numbers of the First Kind and the Second Kind
On (q, r, w)-Stirling Numbers of the Second Kind
... r-Stirling numbers of the second kind based on the q-numbers via an exponential gen- erating ...q-Bernoulli numbers and polynomials, and newly de…ned (q; r; w)- Stirling ...
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SERIES REPRESENTATION OF POWER FUNCTION
... Identity, Stirling numbers of second kind, Faulhabers sum, finite difference, Faulhabers formula, central factorial numbers, binomial coefficients, Binomial distribution, binomial ...
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An Asymptotic Formula for the Second Kind r-Whitney Numbers with Real Parameters
... -Whitney numbers are generalization of Whitney numbers (see (Benoumhani, 1996, 1997, 1999), the classical Stirling numbers and other Stirling-type numbers (see (Broder, 1984) and ...
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Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications
... The Stirling numbers are used in combinatorics, in number theory, in discrete probability distributions for finding higher order moments, ...The Stirling number of the second kind, ...
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Some New Results on the Number of Paths
... Abstract Khidr and El-Desouky [1] derived a symmetric sum involving the Stirling numbers of the first kind through the process of counting the number of paths along a rectangular array n[r] ...
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On the First Kind r-Whitney Numbers and the Combinatorics of 0-1 Tableaux
... these numbers are equivalent to the first kind r-Whitney numbers using their existing ...Whitney numbers of the first kind in the context of (0, 1)-tableau is constructed ...
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Search | Preprints
... of Stirling numbers of the second kind of order ν by which we derive a relation including unified q-analog of Apostol type polynomials of order ...
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ON THE FULLY DEGENERATE DAEHEE NUMBERS AND POLYNOMIALS OF THE SECOND KIND
... Daehee numbers and polynomials of the second kind, and found the relationship between the degenerate Bernoulli polynomials, the first and second Stirling numbers, the ...
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Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers
... 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 significantly ...
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Multifarious results for q-Hermite based Frobenius type Eulerian polynomials
... formulae, Stirling numbers of the second kind and some relationships for q-Hermite based Frobenius type Eulerian polynomials of order related to Apostol type Bernoulli poly- nomials, Apostol ...
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Unified (p, q) -analog of Apostol type polynomials of order a
... Motivated by Kurt’s work [Filomat 30 (4) 921-927, 2016], we …rst consider a class of a new generating function for (p; q)-analog of Apostol type polynomials of order including Apostol-Bernoulli, Apostol-Euler and ...
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Certain results on (p,q)-Hermite based Apostol type Frobenius-Euler polynomials
... and numbers are …rstly considered and then diverse basic identities and properties for the mentioned polynomials and numbers, including addition theorems, di¤erence equations, in- tegral representations, ...
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ON -ADIC GAMMA FUNCTION RELATED TO -DAEHEE POLYNOMIALS AND NUMBERS
... q-Daehee polynomials and numbers of the second kind. Then, we have investigated q-Volkenborn integral of the derivative of p-adic gamma function. Furthermore, we have attained the correlationship ...
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The r-Dowling Numbers and Matrices Containing r-Whitney Numbers of the Second Kind and Lah Numbers
... by Feng Qi [21] in expressing the Bell numbers in terms of Stirling numbers of the second kind and Lah numbers. The two methods yield exactly the same explicit formula when they ...
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Generalized Eulerian Numbers
... some kind of expectation values. We discuss some properties of the numbers E µ ( ) k l , and derive the recurrence relations for ...these numbers and the Stirling numbers of ...
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On the Degenerate $(h,q)$-Changhee Numbers and Polynomials
... the Stirling numbers of the first kind and second kind, q-Euler numbers, q-Changhee numbers and those poly- nomials and ...
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On a q analog of some numbers and polynomials
... Changhee numbers and polynomials of the first kind and of the second ...the Stirling numbers of the first kind and of the second kind, the Euler polynomials of higher ...
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Simplifying Coefficients in Differential Equations Associated with Higher Order Bernoulli Numbers of the Second Kind
... 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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ON THE DEGENERATE h, q -CHANGHEE NUMBERS AND POLYNOMIALS
... the Stirling numbers of the first kind and second kind, q-Euler numbers, q-Changhee numbers and those poly- nomials and ...
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Gram matrices and Stirling numbers of a class of diagram algebras, I
... )-Stirling numbers of the second kind for the signed partition algebras, the algebra of Z 2 -relations are introduced and their identities are ...
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