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[PDF] Top 20 Some new formulas for the products of the Frobenius Euler polynomials

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Some new formulas for the products of the Frobenius Euler polynomials

Some new formulas for the products of the Frobenius Euler polynomials

... establish some new summation formulas for the products of an arbitrary number of the Frobenius-Euler poly- nomials by making use of the generating function methods and summation ... See full document

11

New formulae of products of the Frobenius Euler polynomials

New formulae of products of the Frobenius Euler polynomials

... three new formulae of products of the Frobenius-Euler polynomials to extend formulae ...give some new sum relations of products of the Frobenius-Euler ... See full document

13

Some new formulas for the products of the Apostol type polynomials

Some new formulas for the products of the Apostol type polynomials

... of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded ... See full document

18

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials

... presenting some properties of the classical Jacobi ..., some new reduction for- mulas for the linearization coefficients of some Jacobi polynomials are derived with the aid of employing ... See full document

13

Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications

Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications

... The FrobeniusEuler polynomials and their various generalizations such as the Apostol FrobeniusEuler polynomials have been studied intensively by some ...for ... See full document

14

Some convolution identities for Frobenius Euler polynomials

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 ...For some related results on the products of the ... See full document

16

New Type of Degenerate Poly-Frobenius-Euler Polynomials and Numbers

New Type of Degenerate Poly-Frobenius-Euler Polynomials and Numbers

... the new type of degenerate poly- Bernoulli polynomials by means of the degenerate polylogarithm ...poly-Frobenius-Euler polynomials, called the new type of degenerate ... See full document

11

Truncated exponential based Frobenius–Euler polynomials

Truncated exponential based Frobenius–Euler polynomials

... of polynomials play a key role in applied mathematics due to the fact that they can be described in many different ways, for example, by orthogonality conditions, by generating functions, as solutions to ... See full document

12

Some new identities of Frobenius Euler numbers and polynomials

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 ...of Frobenius-Euler numbers and ... See full document

10

Certain results on (p,q)-Hermite based Apostol type Frobenius-Euler polynomials

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

16

Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers

Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers

... representations, some identities and explicit formulas for H n (α) (x, y; u; λ : p, ...present new theorems and some (p, q)-extensions of known results in Carlitz [5], Kurt [14], Simsek [23], ... See full document

14

Sums of Products of  Euler Polynomials and Numbers

Sums of Products of Euler Polynomials and Numbers

... corresponding analysis a particular case of so-called non-Archimedean analysis. He showed that many problems of the description of reality with the aid of real numbers are induced by unlimited application of the ... See full document

8

On the generalized Apostol type Frobenius Euler polynomials

On the generalized Apostol type Frobenius Euler polynomials

... derive 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

Download PDF

Download PDF

... a new class of q-Hermite- Fubini numbers and polynomials by combining the q-Hermite polynomials and q- Fubini ...derive some alternative summation formulas including powers of ... See full document

10

Search | Preprints

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

13

Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials

Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials

... and new conclusions about (the generalized) derivative polynomials, explicit formulas for the Bernoulli numbers and polynomials, for the Euler numbers and polynomials, for higher ... See full document

12

Ordinary and degenerate Euler numbers and polynomials

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

11

On a q analog of some numbers and polynomials

On a q analog of some numbers and polynomials

... introduce new q-analogs of the 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 ... See full document

9

Higher order Frobenius Euler and poly Bernoulli mixed type polynomials

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

13

Barnes’ multiple Frobenius Euler and poly Bernoulli mixed type polynomials

Barnes’ multiple Frobenius Euler and poly Bernoulli mixed type polynomials

... Kim et al Advances in Difference Equations 2014, 2014 92 http //www advancesindifferenceequations com/content/2014/1/92 R ES EARCH Open Access Barnes? multiple Frobenius Euler and poly Bernoulli mixed[.] ... See full document

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