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Search Results: 1 - 10 of 26472 matches for " Kim Young-Hee "
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On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials
Kim Taekyun,Kim Young-Hee
Journal of Inequalities and Applications , 2009,
Abstract: We study the symmetry for the generalized twisted Bernoulli polynomials and numbers. We give some interesting identities of the power sums and the generalized twisted Bernoulli polynomials using the symmetric properties for the -adic invariant integral.
On Some Arithmetical Properties of the Genocchi Numbers and Polynomials
Kyoung Ho Park,Young-Hee Kim
Advances in Difference Equations , 2008, DOI: 10.1155/2008/195049
Abstract: We investigate the properties of the Genocchi functions and the Genocchi polynomials. We obtain the Fourier transform on the Genocchi function. We have the generating function of (h,q)-Genocchi polynomials. We define the Cangul-Ozden-Simsek's type twisted (h,q)-Genocchi polynomials and numbers. We also have the generalized twisted (h,q)-Genocchi numbers attached to the Dirichlet's character χ. Finally, we define zeta functions related to (h,q)-Genocchi polynomials and have the generating function of the generalized (h,q)-Genocchi numbers attached to χ.
On Some Arithmetical Properties of the Genocchi Numbers and Polynomials
Park KyoungHo,Kim Young-Hee
Advances in Difference Equations , 2008,
Abstract: We investigate the properties of the Genocchi functions and the Genocchi polynomials. We obtain the Fourier transform on the Genocchi function. We have the generating function of -Genocchi polynomials. We define the Cangul-Ozden-Simsek's type twisted -Genocchi polynomials and numbers. We also have the generalized twisted -Genocchi numbers attached to the Dirichlet's character . Finally, we define zeta functions related to -Genocchi polynomials and have the generating function of the generalized -Genocchi numbers attached to .
On the -Extension of Apostol-Euler Numbers and Polynomials
Young-Hee Kim,Wonjoo Kim,Lee-Chae Jang
Abstract and Applied Analysis , 2008, DOI: 10.1155/2008/296159
Abstract: Recently, Choi et al. (2008) have studied the -extensions of theApostol-Bernoulli and the Apostol-Euler polynomials of order and multipleHurwitz zeta function. In this paper, we define Apostol's type -Euler numbers,, and -Euler polynomials ,,(). We obtain the generating functionsof ,,and ,,(), respectively. We also have the distribution relation forApostol's type -Euler polynomials. Finally, we obtain -zeta function associatedwith Apostol's type -Euler numbers and Hurwitz_s type -zeta functionassociated with Apostol's type -Euler polynomials for negative integers.
Symmetry Properties of Higher-Order Bernoulli Polynomials
Kim Taekyun,Hwang Kyung-Won,Kim Young-Hee
Advances in Difference Equations , 2009,
Abstract: We investigate properties of identities and some interesting identities of symmetry for the Bernoulli polynomials of higher order using the multivariate -adic invariant integral on .
Symmetry Properties of Higher-Order Bernoulli Polynomials
Taekyun Kim,Kyung-Won Hwang,Young-Hee Kim
Advances in Difference Equations , 2009, DOI: 10.1155/2009/318639
Abstract: We investigate properties of identities and some interesting identities of symmetry for the Bernoulli polynomials of higher order using the multivariate p-adic invariant integral on p.
Sums of Products of -Euler Polynomials and Numbers
Kim Young-Hee,Hwang Kyung-Won,Kim Taekyun
Journal of Inequalities and Applications , 2009,
Abstract: We derive formulae for the sums of products of the -Euler polynomials and numbers using the multivariate fermionic -adic -Volkenborn integral on .
Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
Kyung-Won Hwang,Young-Hee Kim,Taekyun Kim
Journal of Inequalities and Applications , 2009, DOI: 10.1155/2009/451217
Abstract: The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on p. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We define q-extensions of Apostol type's Euler polynomials of higher order using the multivariate fermionic p-adic integral on p. We have the interpolation functions of these q-λ-Euler polynomials. We also give (h,q)-extensions of Apostol's type Euler polynomials of higher order and have the multiple Hurwitz type zeta functions of these (h,q)-λ-Euler polynomials.
Interpolation Functions of -Extensions of Apostol's Type Euler Polynomials
Hwang Kyung-Won,Kim Young-Hee,Kim Taekyun
Journal of Inequalities and Applications , 2009,
Abstract: The main purpose of this paper is to present new -extensions of Apostol's type Euler polynomials using the fermionic -adic integral on . We define the - -Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We define -extensions of Apostol type's Euler polynomials of higher order using the multivariate fermionic -adic integral on . We have the interpolation functions of these - -Euler polynomials. We also give -extensions of Apostol's type Euler polynomials of higher order and have the multiple Hurwitz type zeta functions of these - -Euler polynomials.
On the Symmetric Properties of the Multivariate p-Adic Invariant Integral on p Associated with the Twisted Generalized Euler Polynomials of Higher Order
Taekyun Kim,Byungje Lee,Young-Hee Kim
Journal of Inequalities and Applications , 2010, DOI: 10.1155/2010/826548
Abstract: We study the symmetric properties for the multivariate p-adic invariant integral on p related to the twisted generalized Euler polynomials of higher order.
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