[PDF] Top 20 Higher order Frobenius Euler and poly Bernoulli mixed type polynomials
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Higher order Frobenius Euler and poly Bernoulli mixed type polynomials
... Henceforth, F will denote 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 ... See full document
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Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials
... the higher-order degenerate Bernoulli and Euler polynomials which were defined by Carlitz and define the higher-order deformed degenerate Bernoulli and Euler ... See full document
5
Certain results on (p,q)-Hermite based Apostol type Frobenius-Euler polynomials
... Apostol type Frobenius-Euler numbers and polyno- mials and rthen develop some basic identities and ...mentioned polynomials and ...Apostol type Frobenius-Euler ... See full document
16
On the Identities of Symmetry for the Euler Polynomials of Higher Order
... ζ-Euler polynomials of higher order, which are closely related to the Frobenius-Euler polynomials of higher ...ζ- Euler polynomials of higher ... See full document
9
Partial Hecke-type operators and their applications
... of Bernoulli polynomials and Euler polyno- mials in differential equations, in analytic number theory and in ...of Bernoulli poly- nomials. These polynomials are also related to ... See full document
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Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... This section includes integral representations, some identities and explicit formulas for H n (α) (x, y; u; λ : p, q). Also, we present new theorems and some (p, q)-extensions of known results in Carlitz [5], Kurt [14], ... See full document
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Hermite and poly Bernoulli mixed type polynomials
... is a vector space isomorphism from P ∗ onto F . Henceforth, 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 ... See full document
12
Search | Preprints
... the type 2 poly-Bernoulli polynomials introduced by Kim-Kim [15], in the present paper, we consider a class of new generating function for the Frobenius-Genocchi polynomials, ... See full document
11
Some identities of higher order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
... Let us assume that P is the algebra of polynomials in the variable x over C and that P ∗ is the vector space of all linear functionals on P . L | p(x) denotes the action of the linear functional L on a polynomial ... See full document
10
A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS
... the Bernoulli, Stirling and Eulerian numbers in ...many polynomials, theorems, numbers ...degenerate type various numbers and ...Hermite polynomials in [3], the degenerate ... See full document
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... extended higher order q-Euler and q-Genocchi ...Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta functions see ... 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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Higher order Bernoulli, Euler and Hermite polynomials
... Kim et al Advances in Difference Equations 2013, 2013 103 http //www advancesindifferenceequations com/content/2013/1/103 R E V IE W Open Access Higher order Bernoulli, Euler and Hermite polynomials D[.] ... See full document
7
Higher-order Euler-type polynomials and their applications
... for higher-order Euler-type polynomials and ...and Euler-type polynomials and ...of higher-order Euler-type polynomials is ... See full document
11
Barnes’ multiple Frobenius Euler and poly Bernoulli mixed type polynomials
... is a vector space isomorphism from P ∗ onto F . Henceforth, 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 ... See full document
16
Search | Preprints
... degenerate poly-Bernoulli polynomials intro- duced by Kim et ...degenerate Frobenius-Euler polynomials, called the type 2 degenerate ... See full document
13
Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius Euler mixed type polynomials
... multiple Bernoulli polynomials as well as generalized Barnes’ multiple Frobenius-Euler polynomials, we define and investigate the mixed-type polynomials of these ... See full document
16
New Type of Degenerate Poly-Frobenius-Euler Polynomials and Numbers
... degenerate 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 ... See full document
11
Some identities of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials
... Some identities of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials Jang et al Advances in Difference Equations (2015) 2015 162 DOI 10 1186/s13662 015[.] ... See full document
8
Symmetry Properties of Higher Order Bernoulli Polynomials
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 318639, 6 pages doi 10 1155/2009/318639 Research Article Symmetry Properties of Higher Order Bernoulli Polynomia[.] ... See full document
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