[PDF] Top 20 On the Fermionic adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials
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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
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
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
10
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
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
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... two fermionic p-adic integrals of p-adic gamma function in terms of Boole numbers and ...provide fermionic p-adic integral of the derivative of p-adic gamma ... See full document
8
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
Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... special polynomials and numbers and investigating their properties, some identities related to them and their ...p- adic analysis and differential equations (see [8, 9] and the references ...of ... See full document
11
Multiple Twisted Euler Numbers and Polynomials Associated with Adic Integrals
... q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta ...q-Euler polynomials and multiple twisted Barnes’ type q-Euler Zeta ...q-Euler ... See full document
11
On Carlitz's Type Euler Numbers Associated with the Fermionic Adic Integral on
... where q is a complex number with |q| < 1 see 18. The remark point is that the series on the right-hand side of 1.6 is uniformly convergent in the wider sense. In p-adic case, Kim et al. 18 could not determine ... See full document
13
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 ...q-Euler numbers ... See full document
12
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
A Study on the Adic Integral Representation on Associated with Bernstein and Bernoulli Polynomials
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 163217, 6 pages doi 10 1155/2010/163217 Research Article A Study on the p Adic Integral Representation on Zp Ass[.] ... See full document
6
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
Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... the Euler numbers and polynomials see 1–15. The Euler numbers and polynomials possess many interesting properties and arising in many areas of mathematics and ...that ... See full document
15
A Study on the Adic Integral Representation on Associated with the Weighted Bernstein and Bernoulli Polynomials
... In this paper, we consider the weighted q-Bernstein polynomials to express the bosonic q-integral on p and investigate some properties of the weighted q-Bernstein polynomials associated [r] ... See full document
8
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
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 of Symmetry for Euler Polynomials Arising from Quotients of Fermionic Integrals Invariant under
... 4.20, 4.23, 4.25, and 4.26. These and most of their corollaries seem to be new, since there have been results only about identities of symmetry in two variables in the literature. These abundances of symmetries shed new ... See full document
16
Symmetry Fermionic 𝑝 Adic 𝑞 Integral on ℤ𝑝 for Eulerian Polynomials
... Remark 2.1. The derivations of identities are based on the fermionic p-adic q-integral expression of the generating function for the Eulerian polynomials in 1.7 and the quotient of integrals ... See full document
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