[PDF] Top 20 Multivariate Twisted Adic Integral on Associated with Twisted Bernoulli Polynomials and Numbers
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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 ... See full document
6
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
Identities on the Bernoulli and Genocchi Numbers and Polynomials
... Ryoo, “On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials,” Journal of Inequalities and Applications, vol... Operation[r] ... See full document
10
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 ... See full document
6
Remarks on Sum of Products of Twisted Euler Polynomials and Numbers
... 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 invariant ...of Bernoulli ... See full document
8
On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials
... generalized twisted Bernoulli polynomials and numbers attached to ...generalized twisted Bernoulli polynomials using the symmetric properties for the p-adic ... See full document
8
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
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
Calculating Zeros of the Genocchi Polynomials Associated with Adic Integral on
... studied Bernoulli numbers and polynomials, the Euler numbers and polynomials, and the Genocchi numbers and the Genocchi ...The Bernoulli numbers and ... See full document
19
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
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
A Note on Hölder Type Inequality for the Fermionic Adic Invariant Integral
... Sug, “Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Rim, “New q-Euler numbers and polynomia[r] ... See full document
5
On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... the twisted q-Euler numbers of order k. When k 1, the polynomials and numbers are called the twisted q-Euler polynomials and numbers, ...the polynomials and ... See full document
8
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
10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... Abstract. The purpose of this paper is to obtain several series identities in- volving some classes of generalized Apostol-Bernoulli and Apostol-Euler poly- nomials introduced lately by Srivastava et al. in [16, ... See full document
15
ON p-ADIC INTEGRAL REPRESENTATION OFq -BERNOULLI NUMBERS ARISING FROM TWO VARIABLE q-BERNSTEIN POLYNOMIALS
... In this paper, we study the p-adic integral representation on Z p of q-Bernoulli numbers arising from two variable q-Bernstein polynomials and investigate some properties for the q-Berno[r] ... See full document
11
On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta functions see ...Apostol-Bernoulli numbers in their paper are exactly the same as the definition of the q-extension of Genocchi ... See full document
9
Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
... Bernstein polynomials can also be defined in many different ...these polynomials have been looked for by many ...Bernstein polynomials in the area of approximation theory see ... See full document
7
Integral Formulae of Bernoulli and Genocchi Polynomials
... Kim, “Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials,” Advanced Studies in Contemporary Mathematics, vol.. Kim, “Integral formulae of Bernoulli polynomi[r] ... See full document
9
On the Fermionic adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials
... Research Article On the Fermionic p-adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials T.. Division of General Education-Mathematics, Kwa[r] ... See full document
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