[PDF] Top 20 A Note on Some Identities of Frobenius Euler Numbers and Polynomials
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A Note on Some Identities of Frobenius Euler Numbers and Polynomials
... Kim, “A note on Bernstein polynomials associated with q-Euler numbers and polynomials,” International Journal of Mathematics and Analysis, vol... International Journal of Mathematics and[r] ... See full document
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Some new identities of Frobenius Euler numbers and polynomials
... give some new and interesting identities which are derived from the basis of ...studied some identities of Frobenius-Euler ...interesting identities of ... See full document
10
A note on some identities of derangement polynomials
... derangement numbers goes back to as early as 1708 when Pierre Ré- mond de Montmort considered some counting problem on ...derangement polynomials and their gen- eralizations has not yet been ...study ... See full document
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Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... of Euler polynomials and numbers, see 14, ...of Euler numbers and polynomials to be different which is treated by Ozden et ...q-Euler numbers and polynomials, ... See full document
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Some identities on the weighted q Euler numbers and q Bernstein polynomials
... -Euler numbers and polynomials which are a slightly different Kim’s weighted q -Euler numbers and polynomials(see ...A note on the weighted q-Euler numbers ... See full document
7
Some convolution identities for Frobenius Euler polynomials
... Bernoulli numbers and the classical Euler numbers, ...classical Euler polynomials. In fact, the classical Bernoulli polynomials can also be expressed by the classical ... See full document
16
Certain results on (p,q)-Hermite based Apostol type Frobenius-Euler polynomials
... type Frobenius-Euler numbers and polyno- mials and rthen develop some basic identities and ...establish some useful and interesting relations and formulas for the mentioned ... See full document
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Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
... q-Euler numbers and polynomials of higher order attached to Dirichlet’s character ...derive some theoretic identities involving generalized q-Euler numbers and ... See full document
6
New Type of Degenerate Poly-Frobenius-Euler Polynomials and Numbers
... Bernoulli polynomials by means of the degenerate polylogarithm ...poly-Frobenius-Euler polynomials, called the new type of degenerate poly-Frobenius-Euler polynomials, by ... See full document
11
A note on the higher order Frobenius Euler polynomials and Sheffer sequences
... Kim et al Advances in Difference Equations 2013, 2013 41 http //www advancesindifferenceequations com/content/2013/1/41 R ES EA RCH Open Access A note on the higher order Frobenius Euler polynomials a[.] ... See full document
12
Some new formulas for the products of the Frobenius Euler polynomials
... using identities for difference operators, techniques of symbolic computation, and tools from the probability theory, Dilcher and Vignat [] extended ...real numbers a , ... See full document
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A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS
... Eulerian numbers in ...many polynomials, theorems, numbers ...various numbers and ...Hermite polynomials in [3], the degenerate Hermite-Bernoulli poynomials and numbers in [4], ... See full document
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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 ...derive some new interesting identities related to the Stirling numbers of the first kind and of the second kind, ... See full document
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Some identities on the higher order twisted q Euler numbers and polynomials with weight α
... of some families of higher- order-twisted q-Euler numbers and polynomials with weight a ...q-Euler numbers and polynomials with weight a and establish interest- ing ... See full document
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Some identities of Frobenius Euler polynomials arising from umbral calculus
... Kim and Kim Advances in Difference Equations 2012, 2012 196 http //www advancesindifferenceequations com/content/2012/1/196 R ES EA RCH Open Access Some identities of Frobenius Euler polynomials arisi[.] ... See full document
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... introducing various degenerate special polynomials and numbers and investigating their properties, some identities related to them and their applications. This research has been carried out by ... See full document
11
Ordinary and degenerate Euler numbers and polynomials
... of some values of Euler ...studied some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials, which are ... See full document
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A NOTE ON DEGENERATE BERNSTEIN AND DEGENERATE EULER POLYNOMIALS
... Bernstein polynomials and operators and derive some of their properties (see ...give some properties of the degenerate Euler numbers and polynomials and their connection with the ... See full document
11
Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... We can write easily that [n] p,q = p n−1 [n] q/p , where [n] q/p is the q-number in q-calculus given by [n] q/p = (q/p) (q/p)−1 n −1 . Thereby, this implies that (p, q)-numbers and q-numbers are different, ... See full document
14
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... of numbers or the three kinds of ...Genocchi numbers themselves and Genocchi polynomials ...give some identities only concern Genocchi num- bers and Genocchi ...these identities ... See full document
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