[PDF] Top 20 Some identities of Frobenius Euler polynomials arising from umbral calculus
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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 q Euler polynomials arising from q umbral calculus
... derived some interesting identities on weighted q-Euler polynomials and higher-order q-Euler polynomials from the applications of umbral calculus (see (Araci ... See full document
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Some identities of higher order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
... study umbral calculus to have alternative ways of obtaining our ...derive some interesting identities of the higher-order Bernoulli, Euler, and Hermite polynomials arising ... See full document
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Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
... So, F denotes both the algebra of formal power series in t and the vector space of all linear functionals on P, and so an element f (t) of F is thought of as both a formal power series and a linear functional (see ... See full document
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Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
... Kim et al Advances in Difference Equations 2013, 2013 73 http //www advancesindifferenceequations com/content/2013/1/73 R ES EA RCH Open Access Some new identities of Bernoulli, Euler and Hermite poly[.] ... See full document
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... special polynomials and numbers and investigating their properties, some identities related to them and their ...methods, umbral calculus, p- adic analysis and differential equations ... See full document
11
Degenerate poly Bernoulli polynomials with umbral calculus viewpoint
... use umbral calculus to obtain several new and interesting identities of degenerate poly-Bernoulli ...the umbral cal- culus as given in [, ...of polynomials in a single variable x over ... See full document
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Degenerate poly Cauchy polynomials with a q parameter
... made some progress about symmetric identities involving the higher-order degenerate Euler and q-Euler polynomials by using the fermionic p-adic ...to some further results about ... See full document
15
Apostol Euler polynomials arising from umbral calculus
... Kim et al Advances in Difference Equations 2013, 2013 301 http //www advancesindifferenceequations com/content/2013/1/301 R ES EARCH Open Access Apostol Euler polynomials arising from umbral calculus[.] ... See full document
7
Frobenius Euler polynomials and umbral calculus in the p adic case
... Here, F denotes both the algebra of formal power series in t and the vector space of all linear functionals on P , and so an element f (t) of F will be thought of as both a formal power series and a linear functional ... See full document
11
Some identities of Laguerre polynomials arising from differential equations
... equations arising from Frobenius-Euler poly- nomials and gave some interesting ...equations from the generating function of the Laguerre ...obtain some properties and new ... See full document
9
Some identities of Genocchi polynomials arising from Genocchi basis
... Simsek, Y: Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions.. Simsek, Y: Theorems on twisted L-function and twisted Ber[r] ... See full document
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Identities of Symmetry for Euler Polynomials Arising from Quotients of Fermionic Integrals Invariant under
... on identities of symmetry involving Bernoulli polynomials or Euler polynomials or q-Bernoulli polynomials or q-Euler ...Bernoulli polynomials and power sums, these results ... See full document
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Higher-order Euler-type polynomials and their applications
... higher-order Euler-type polynomials and ...and Euler-type polynomials and ...higher-order Euler-type polynomials is eigenfunctions for the generalized partial Hecke ...only ... See full document
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Ordinary and degenerate Euler numbers and polynomials
... sum polynomials in terms of Euler polyno- mials and also of Euler polynomials together with Stirling numbers of the second ...of Euler numbers and polynomials were derived as ... See full document
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Some identities for the product of two Bernoulli and Euler polynomials
... There are many ways of obtaining polynomial identities in general. Here, in Theo- rems 2-9, we use the Bernoulli basis in order to express certain polynomials as linear combinations of that basis and hence ... 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 proper- ...give some properties of the degenerate Euler numbers and polynomials and their connection with the degenerate ... See full document
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Truncated exponential based Frobenius–Euler polynomials
... of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating ...Apostol-type Frobenius–Euler ... See full document
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Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... Genocchi polynomials themselves. In other words, in this paper, we will give some identities only concern Genocchi num- bers and Genocchi ...these identities combining with the ... See full document
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Search | Preprints
... poly-Bernoulli polynomials intro- duced by Kim et ...degenerate Frobenius-Euler polynomials, called the type 2 degenerate poly-Frobenius-Euler polynomials, by means of the ... See full document
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