[PDF] Top 20 On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
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On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... the twisted Euler polynomials of higher- order, ...the higher-order twisted q-Euler numbers and ...concerning higher- order ... See full document
8
On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials
... the symmetric properties of the p-adic invariant integrals and investigated interesting relationships between the power sums and the Bernoulli polynomials see 2, 3, 6, 7, ... See full document
8
A Note on Symmetric Properties of the Twisted Bernoulli Polynomials and the Twisted Generalized Bernoulli Polynomials
... the twisted q-Bernoulli polynomials and the twisted generalized q-Bernoulli polynomi- als attached to χ of higher order and investigate some symmetric properties of ... 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
... 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
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A Note on Nörlund Type Twisted Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant Integrals
... Kim, “Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Kim, “Not[r] ... See full document
12
Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... the twisted h, q- extension of Euler polynomials and ...ler numbers and polynomials to be different which is treated by Ozden et ...and polynomials, we derive some interesting ... See full document
9
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 eigenfunctions for the ... See full document
11
Remarks on Sum of Products of Twisted Euler Polynomials and Numbers
... Higher-order twisted Bernoulli and Euler numbers and polynomials were studied by many au- thors see for details ...Bernoulli numbers and polynomi- ...of ... See full document
8
On the Identities of Symmetry for the Euler Polynomials of Higher Order
... ζ-Euler numbers of order k. When k 1, the polynomials or numbers are called the ζ-Euler polynomials or ...some properties of symmetry for the multivariate p-adic ... See full document
9
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 ... See full document
10
A Note on Genocchi Polynomials and Numbers of Higher Order
... and Euler numbers using Fermionic q-integral and introduced related ...the Euler numbers which can be viewed as interpolating of q-analogue of Euler zeta function at negative integers ... See full document
6
On the Twisted Analogs of the Generalized Euler Numbers and Polynomials of Higher Order
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 875098, 11 pages doi 10 1155/2010/875098 Research Article On the Twisted q Analogs of the Generalized Euler Numb[.] ... See full document
11
The twisted Daehee numbers and polynomials
... nth twisted Daehee numbers and polynomials and investigate some properties of those numbers and ...nth twisted Daehee numbers are closely related to ... See full document
9
Search | Preprints
... Special polynomials and their generating functions have important roles in many branches of mathematics, probability, statistics, mathematical physics, and also en- ...Since polynomials are suitable for ... See full document
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Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials
... of higher order Daehee numbers and polynomials which are called the multiparameter higher order Daehee numbers and polynomials of the first ...multiparameter ... See full document
11
New Approach to Euler Numbers and Polynomials
... of Euler numbers and ...q-Euler numbers and polynomials. We also consider the generalized q-Euler polynomials attached to Dirichlet’s character χ and have the generating ... See full document
9
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... Genocchi numbers and Genocchi polynomials have a long ...Genocchi numbers and kinds of Genocchi polynomials have become a popular research ...Genocchi numbers and Genocchi ... See full document
7
Some new identities on the twisted carlitz's q bernoulli numbers and q bernstein polynomials
... the twisted Carlitz’s q -Bernoulli numbers using p -adic q - integral on ℤ p ...the twisted Carlitz’s q -Bernoulli numbers, we investigate some properties for the twisted ... See full document
6
Ordinary and degenerate Euler numbers and polynomials
... of Euler polynomials and Stirling numbers of the second kind, as well as various properties about Euler numbers and ...sum polynomials in terms of degenerate Euler ... See full document
11
Sums of Products of Euler Polynomials and Numbers
... q-Euler polynomials and numbers, since many identities can be obtained from our sums of products of the q-Euler polynomials and ...the Euler numbers and polynomials ... See full document
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