[PDF] Top 20 Some identities on the higher order twisted q Euler numbers and polynomials with weight α
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Some identities on the higher order twisted q Euler numbers and polynomials with weight α
... of some families of higher- order-twisted q-Euler numbers and polynomials with weight a ...investigate higher-order-twisted ... See full document
10
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
On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... gave some identities of symmetry for the twisted Euler polynomials of higher- order, ...the higher-order twisted q-Euler numbers ... See full document
8
Modified Degenerate Carlitz’s q-Bernoulli Polynomials and Numbers with Weight (α, β)
... Carlitz’s q-Bernoulli polynomials and numbers with weight (α, β), and satisfies some identities and properties of ...Carlitz’s q-Bernoulli polynomials and ... See full document
11
Modified degenerate Carlitz's $q$-bernoulli polynomials and numbers with weight ($\alpha ,\beta $)
... with weight (α, β) and obtain some recurrence relations and other ...derive some correlations with the modified Carlitz’s q-Bernoulli polynomials with weight (α, ... See full document
10
The twisted (h, q) Genocchi numbers and polynomials with weight α and q bernstein polynomials with weight α
... investigate some properties for the twisted ( h, q )-Genocchi num- bers and polynomials with weight a ...give some interest- ing identities on the twisted ( h, ... See full document
9
Bernoulli Basis and the Product of Several Bernoulli 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.. Simsek, “[r] ... See full document
13
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
9
Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
... the q-Euler numbers and polynomials of higher order attached to Dirichlet’s character ...derive some theoretic identities involving generalized ... See full document
6
Remarks on Sum of Products of Twisted Euler Polynomials and Numbers
... Carlitz’s q-Bernoulli number of higher order using an integral by the q-analogue μ q of the ordinary p-adic invariant ...of higher order q-Bernoulli ...Bernoulli ... See full document
8
On a q analog of some numbers and polynomials
... 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 ... See full document
9
Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... the twisted h, q-extension of Euler polynomials and numbers, see 14, ...new q-extension of Euler numbers and polynomials to be different which is treated by ... See full document
9
Arithmetic Identities Involving Bernoulli and Euler Numbers
... 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
11
Some Identities Involving the Higher Order Changhee Numbers and Polynomials
... number identities by various method [1] [2] [3] ...ious identities of the higher-order Changhee numbers and polynomials which are derived from umbral ...Changhee numbers ... See full document
10
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
Derivation of Identities Involving Bernoulli and Euler Numbers
... Lee, “Some identities on the q-Genocchi polynomials of higher-order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” International Journal of Mathematics and Mathematical[r] ... See full document
15
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
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 ... See full document
7
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
A Note on Some Identities of Frobenius Euler Numbers and Polynomials
... Kim, “A note on Bernstein polynomials associated with q-Euler numbers and polynomials,” International Journal of Mathematics and Analysis, vol... International Journal of Mathematics and[r] ... See full document
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