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[PDF] Top 20 Higher-order Euler-type polynomials and their applications

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Higher-order Euler-type polynomials and their applications

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

Some identities of higher order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus

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

Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials

Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials

... and Euler polynomials in (23), (24) and the higher-order deformed degenerate Bernoulli and Euler polynomials in (29), ...the higher-order deformed degenerate ... See full document

5

Some identities on the higher order twisted q Euler numbers and polynomials with weight α

Some identities on the higher order twisted q Euler numbers and polynomials with weight α

... of higher- order-twisted q-Euler numbers and polynomials with weight a ...investigate higher-order-twisted q-Euler numbers and polynomials with weight a and ... See full document

10

Some identities of special q polynomials

Some identities of special q polynomials

... In view of ., we define the higher-order q-Euler polynomials which are given by the generating function to be... Dolgy et al.[r] ... See full document

10

On a q analog of some numbers and polynomials

On a q analog of some numbers and polynomials

... and polynomials of the first kind and of the second ...the Euler polynomials of higher order and the q-analogs of Euler polynomials by applying the p-adic integrals method ... See full document

9

Interpolation Functions of  Extensions of Apostol's Type Euler Polynomials

Interpolation Functions of Extensions of Apostol's Type Euler Polynomials

... Apostol-Bernoulli polynomials, the Apostol-Euler polynomials, and their q-extensions ...Apostol-Euler polynomials of order n, and multiple Hurwitz zeta ...Apostol’s type ... See full document

12

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

... 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

Search | Preprints

Search | Preprints

... poly-Bernoulli polynomials intro- duced by Kim et ...Frobenius-Euler polynomials, called the type 2 degenerate poly-Frobenius-Euler polynomials, by means of the polyexponential ... See full document

13

On the Symmetric Properties of the Multivariate  Adic Invariant Integral on  Associated with the Twisted Generalized Euler Polynomials of Higher Order

On the Symmetric Properties of the Multivariate Adic Invariant Integral on Associated with the Twisted Generalized Euler Polynomials of Higher Order

... Research Article On the Symmetric Properties of the Multivariate p-Adic Invariant Integral on Zp Associated with the Twisted Generalized Euler Polynomials of Higher Order Taekyun Kim,1 B[r] ... See full document

8

A note on the Barnes type q Euler polynomials

A note on the Barnes type q Euler polynomials

... of higher order and gave some interesting identities involving these ...Bernstein polynomials (see [–, , , –, , ...Changhee polynomials (see [, ]), for various degenerate ... See full document

7

Higher order Hermite Fejér interpolation polynomials with Laguerre type weights

Higher order Hermite Fejér interpolation polynomials with Laguerre type weights

... Jung, HS, Sakai, R: Derivatives of orthonormal polynomials and coefficients of Hermite-Fejér interpolation polynomial with exponential-type weights.. Jung, HS, Sakai, R: Markov-Bernstein[r] ... See full document

24

Partial Hecke-type operators and their applications

Partial Hecke-type operators and their applications

... many applications of Bernoulli polynomials and Euler polyno- mials in differential equations, in analytic number theory and in ...These polynomials are also related to several linear ... See full document

12

A note on higher order Bernoulli polynomials

A note on higher order Bernoulli polynomials

... Kim and Kim Journal of Inequalities and Applications 2013, 2013:111 http://www.journalofinequalitiesandapplications.com/content/2013/1/111.. A note on higher-order Bernoulli polynomials D[r] ... See full document

9

Higher order Fefferman Poincaré type inequalities and applications

Higher order Fefferman Poincaré type inequalities and applications

... the higher-order representation formulas by Lu and Wheeden in [, ...the higher-order elliptic equations without potentials in [, ... See full document

9

On the Symmetric Properties of Higher Order Twisted  Euler Numbers and Polynomials

On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials

... of order k. When k 1, the polynomials and numbers are called the twisted q-Euler polynomials and numbers, ...the polynomials and numbers are called the twisted Euler ... See full document

8

On the Distribution of the  Euler Polynomials and the  Genocchi Polynomials of Higher Order

On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order

... of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined ... See full document

9

Higher order Frobenius Euler and poly Bernoulli mixed type polynomials

Higher order Frobenius Euler and poly Bernoulli mixed type polynomials

... consider higher-order Frobenius-Euler polynomials, associated with poly-Bernoulli polynomials, which are derived from polylogarithmic ...These polynomials are called ... See full document

13

On the Identities of Symmetry for the  Euler Polynomials of Higher Order

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

Higher order Bernoulli, Euler and Hermite polynomials

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

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