[PDF] Top 20 The twisted Daehee numbers and polynomials
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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 higher-order ... See full document
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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
Degenerate, partially degenerate and totally degenerate Daehee numbers and polynomials
... degenerate Daehee numbers and polynomials are constructed by degener- ating both numerator and denominator of Daehee numbers and ...degenerate Daehee polynomials (), we ... See full document
14
Multivariate Twisted Adic Integral on Associated with Twisted Bernoulli Polynomials and Numbers
... the polynomials and numbers are called the twisted q-Bernoulli polynomials and numbers, ...the polynomials and numbers are called the twisted Bernoulli ... See full document
6
Some identities of Genocchi polynomials arising from Genocchi basis
... Simsek, Y: Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions.. Simsek, Y: Theorems on twisted L-function and twisted Ber[r] ... See full document
6
Remarks on Sum of Products of Twisted Euler Polynomials and Numbers
... I.-C. Huang and S.-Y. Huang 20 found complete sums of products of Bernoulli polynomi- als. Kim 13 defined Carlitz’s q-Bernoulli number of higher order using an integral by the q-analogue μ q of the ordinary p-adic ... See full document
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The twisted (h, q) Genocchi numbers and polynomials with weight α and q bernstein polynomials with weight α
... the twisted ( h, q )-Genocchi num- bers and polynomials with weight a ...the twisted ( h, q )-Genocchi polynomials with weight a and q - Bernstein polynomials with weight a ... See full document
9
Multiple Twisted Euler Numbers and Polynomials Associated with Adic Integrals
... multiple twisted q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta ...multiple twisted Barnes’ type q-Euler polynomials and multiple twisted ... See full document
11
On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... the twisted Euler polynomials of higher- order, ...higher-order twisted q-Euler numbers and ...order twisted q-Euler numbers and polynomials by the properties of p-adic ... See full document
8
Relationships between Mahler Expansion and Higher Order q-Daehee polynomials
... q-Daehee polynomials and p-adic gamma function via Mahler ...Stirling numbers of the both kinds and the q-Bernoulli polynomials of order ... See full document
7
Some Identities on the Twisted (ℎ,𝑞) Genocchi Numbers and Polynomials Associated with 𝑞 Bernstein Polynomials
... 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, “Sym[r] ... See full document
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Some identities on the twisted q Bernoulli numbers and polynomials with weight α
... By using the p-adic q-integral on Zp , we give some identities and relations on the twisted q-Bernoulli numbers and polynomials with weight α.... Jang Journal of Inequalities and Applica[r] ... See full document
8
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 Carlitz’s q ... See full document
6
DEGENERATE DAEHEE NUMBERS OF THE THIRD KIND
... In [1, 2], L. Carlitz considered the degenerate exponential function. By using this degenerate exponential function, he studied the degenerate Bernoulli numbers and polynomials which are given by the ... See full document
11
Some identities on the higher order twisted q Euler numbers and polynomials with weight α
... The main purpose of this article is to present a systemic study of some families of higher- order-twisted q-Euler numbers and polynomials with weight a . In Section 2, we investigate ... See full document
10
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 ...between twisted q- ... See full document
13
Euler Basis, Identities, and Their Applications
... Ryoo, “Some relations between twisted q-Euler numbers and Bernstein polynomials,” Advanced Studies in Contemporary Mathematics, vol.. Simsek, “Complete sum of products of h, q-extension [r] ... See full document
16
New results on higher order Daehee and Bernoulli numbers and polynomials
... higher-order Daehee numbers and ...these numbers and polynomials are ...higher-order Daehee numbers and ...these numbers and polynomials and Stirling ... See full document
21
ON -ADIC GAMMA FUNCTION RELATED TO -DAEHEE POLYNOMIALS AND NUMBERS
... p-adic numbers are a counterintuitive arithmetic system, which were …rstly introduced by the Kum- mer in ...these numbers, some mathematicians and physicists started to investigate new scienti…c tools ... See full document
7
On the twisted Daehee polynomials with q parameter
... Bernoulli numbers and Bernoulli numbers of the second ...the twisted Daehee polynomials with q-parameter, and we derive some interesting properties related to the nth twisted ... See full document
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