[PDF] Top 20 New formulae of products of the Frobenius Euler polynomials
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New formulae of products of the Frobenius Euler polynomials
... Nielsen’s formulae on the classical Bernoulli and Euler polynomials, see [–] for ...some formulae of products of the Frobenius-Euler poly- nomials and obtained that ... See full document
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Some new formulas for the products of the Frobenius Euler polynomials
... of products of the Frobenius-Euler polynomials and obtained three expressions of products of the Frobenius-Euler polynomi- als to deduce Nielsen’s [] formulas on the ... See full document
11
Some convolution identities for Frobenius Euler polynomials
... the products of the classical Bernoulli polynomials and the classical Euler polynomials stated in Nielsen’s classical book ...the products of the classical Bernoulli and Euler ... See full document
16
Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications
... well-known polynomials have been studied by some mathematicians; see, for details, [2–4, ...Genocchi polynomials, and Apostol– Genocchi polynomials by using the Lipschitz summation ... See full document
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Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius Euler mixed type polynomials
... Bernoulli polynomials as well as generalized Barnes’ multiple Frobenius-Euler polynomials, we define and investigate the mixed-type polynomials of these ...these polynomials ... See full document
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Truncated exponential based Frobenius–Euler polynomials
... a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating ...several new properties and ... See full document
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Sums of Products of Euler Polynomials and Numbers
... derive formulae for the sums of products of the q-Euler polynomials and numbers, since many identities can be obtained from our sums of products of the q-Euler polynomials ... See full document
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Some new identities of Frobenius Euler numbers and polynomials
... some new and interesting identities which are derived from the basis of ...of Frobenius-Euler ...of Frobenius-Euler numbers and ... See full document
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Multifarious results for q-Hermite based Frobenius type Eulerian polynomials
... a new class of q-Hermite based Frobenius type Eulerian polynomials is in- troduced by means of generating function and series ...these polynomials are derived via di¤erent generating ... See full document
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On the generalized Apostol type Frobenius Euler polynomials
... some new identities related to the Frobenius-Euler ...generalized Frobenius-Euler polynomials and the generalized Hurwitz-Lerch zeta function at negative ...with ... See full document
9
Recurrence formulae for Apostol Bernoulli and Apostol Euler polynomials
... Apostol-Euler polynomials and ...the formulae on products of the classical Bernoulli and Euler polynomials and numbers stated in Nielsen’s classical book ... See full document
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Search | Preprints
... poly-Bernoulli polynomials intro- duced by Kim et ...of new generating function for the degenerate Frobenius-Euler polynomials, called the type 2 degenerate ... See full document
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Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... present new theorems and some (p, q)-extensions of known results in Carlitz [5], Kurt [14], Simsek [23], Srivastava and Pintér [25] and so ...q)-Frobenius-Euler polynomials of order α by the ... See full document
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New recurrence formulae for the Apostol Bernoulli and Apostol Euler polynomials
... Remark . In fact, we can also use Theorem . to obtain the above formula of products of the Apostol-Bernoulli polynomials. For example, setting m = and substituting y – x for x, x for y, n for k and m ... See full document
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New Type of Degenerate Poly-Frobenius-Euler Polynomials and Numbers
... poly-Bernoulli polynomials intro- duced by Kim-Kim [19], in the present paper, we have considered a class of new generating function for the degenerate Frobenius-Euler polynomials, ... See full document
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11B83, 11S80, 05A19.
... a new class of the generalized Apostol type Frobenius-Genocchi polynomials and investigated some properties and relations including implicit summation formulae and various symmetric ... See full document
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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
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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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10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... Abstract. The purpose of this paper is to obtain several series identities in- volving some classes of generalized Apostol-Bernoulli and Apostol-Euler poly- nomials introduced lately by Srivastava et al. in [16, ... See full document
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Higher order Frobenius Euler and poly Bernoulli mixed type polynomials
... higher-order Frobenius-Euler polynomials, associated with poly-Bernoulli polynomials, which are derived from polylogarithmic ...These polynomials are called higher-order ... See full document
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