p-adic q-integral
Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... h, q- extension of Euler polynomials and ...new q-extension of Eu- ler numbers and polynomials to be different which is treated by Ozden et ...our q-Euler num- bers and polynomials, we derive some ...
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On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials
... of q-Boole polynomials and numbers. Moreover, we discover fermionic p-adic q-integral of the derivative of p-adic gamma ...the p-adic Euler constant by means ...
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Symmetry Fermionic 𝑝 Adic 𝑞 Integral on ℤ𝑝 for Eulerian Polynomials
... fermionic p-adic q-integral expression of the generating function for the Eulerian polynomials in ...the q-extension of the alternating sum of integer ...
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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] ...
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Some new identities on the twisted carlitz's q bernoulli numbers and q bernstein polynomials
... Carlitz’s q -Bernoulli numbers using p -adic q - integral on ℤ p ...Carlitz’s q -Bernoulli numbers, we investigate some properties for the twisted Carlitz’s q ...
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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] ...
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Interpolation Functions of Extensions of Apostol's Type Euler Polynomials
... their q-extensions cf., 1, 6, 25, 27, 28, 33–41. Choi et al. 6 studied some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n, and multiple Hurwitz zeta ...type ...
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On Carlitz's Type Euler Numbers Associated with the Fermionic Adic Integral on
... where q is a complex number with |q| < 1 see ...In p-adic case, Kim et ...type q-Euler numbers and Witt’s formula for Carlitz’s type q-Euler ...
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Some Identities on the Generalized Bernoulli Numbers and Polynomials Associated with Volkenborn Integrals
... to q- theory see ...type q-Bernoulli numbers and polynomials by using the integral equations of p-adic q-integrals on Z p ...of p-adic q-integrals on ...
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The modified degenerate q Bernoulli polynomials arising from p adic invariant integral on \(\mathbb{Z} {p}\)
... of q-Bernoulli polyno- mials and numbers. The definitions of the q-Bernoulli polynomials and the degenerate q-Bernoulli polynomials applied in the given diagram are provided by Carlitz [, , ] and ...
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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] ...
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A note on the Analogue of Lebesgue Radon Nikodym theorem with respect to weighted p adic q measure on Zp
... Kim, T, Choi, J, Kim, H: A note on the weighted Lebesgue-Radon-Nikodym theorem with respect to p-adic invariant integral on Zp.. Kim, T: New approach to q-Euler polynomials of higher ord[r] ...
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Identities of Symmetry for q Euler Polynomials
... the p-adic integral expression of the generating function for the q-Euler polynomials in (4) and the quotient of integrals in (7) that can be expressed as the exponential generating function ...
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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] ...
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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] ...
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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] ...
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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] ...
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Some Identities on the 𝑞 Genocchi Polynomials of Higher Order and 𝑞 Stirling Numbers by the Fermionic 𝑝 Adic Integral on ℤ𝑝
... of q-Genocchi numbers and families of polynomials of N ¨orlund type is presented by using the multivariate fermionic p-adic integral on ...higher-order q-Genocchi numbers and ...
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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] ...
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... order q-Euler and q-Genocchi ...the q-extension of the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta functions see ...the q-extension of Genocchi ...following ...
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