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Search Results: 1 - 10 of 25277 matches for " Lee Byungje "
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Some Identities of the Frobenius-Euler Polynomials
Taekyun Kim,Byungje Lee
Abstract and Applied Analysis , 2009, DOI: 10.1155/2009/639439
Abstract: By using the ordinary fermionic -adic invariant integral on ?, we derivesome interesting identities related to the Frobenius-Euler polynomials.
On the Twisted q-Analogs of the Generalized Euler Numbers and Polynomials of Higher Order
Lee Chae Jang,Byungje Lee,Taekyun Kim
Advances in Difference Equations , 2010, DOI: 10.1155/2010/875098
Abstract: We consider the twisted q-extensions of the generalized Euler numbers and polynomials attached to χ.
On the Twisted -Analogs of the Generalized Euler Numbers and Polynomials of Higher Order
Jang LeeChae,Lee Byungje,Kim Taekyun
Advances in Difference Equations , 2010,
Abstract: We consider the twisted -extensions of the generalized Euler numbers and polynomials attached to .
q-Bernoulli numbers and q-Bernoulli polynomials revisited
Ryoo Cheon,Kim Taekyun,Lee Byungje
Advances in Difference Equations , 2011,
Abstract: This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikg z et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised. It is point out that the generating function for the q-Bernoulli numbers and polynomials is unreasonable. By using the theorem of Kim (Kyushu J Math 48, 73-86, 1994) (see Equation 9), some new generating functions for the q-Bernoulli numbers and polynomials are shown. Mathematics Subject Classification (2000) 11B68, 11S40, 11S80
A family of generalized q-Genocchi numbers and polynomials
T. Kim,Byungje Lee,C. S. Ryoo
Mathematics , 2010,
Abstract: In this paper we consider the q-extension of the generating function for the higher-order generalized Genocchi numbers and polynomials attached to Dirichlet's character.
On the generalized higher-order q-Bernoulli numbers and polynomials
T. Kim,Byungje Lee,C. S. Ryoo
Mathematics , 2010,
Abstract: In this paper we give some interesting equation of p-adic q-integrals on Zp. From those p-adic q-integrals, we present a systemic study of some families of extended Carlitz q-Bernoulli numbers and polynomials in p-adic number field.
Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
Taekyun Kim,Seog-Hoon Rim,Byungje Lee
Abstract and Applied Analysis , 2009, DOI: 10.1155/2009/848943
Abstract: By the properties of -adic invariant integral on ?,we establish various identities concerning the generalized Bernoulli numbers andpolynomials. From the symmetric properties of -adic invariant integral on ?, we give some interesting relationship between the power sums and the generalizedBernoulli polynomials.
Multiband Handset Antenna Analysis Including Lte Band MIMO Service
Hyunho Wi;Byeongkwan Kim;Woojae Jung;Byungje Lee
PIER , 2013, DOI: 10.2528/PIER13022408
Abstract: A compact multiband handset antenna including MIMO antenna operation for LTE 13 band (746~787 MHz) applications is proposed. The proposed antennas are separately located on the top and bottom portions of a mobile handset in order to use the antenna area more effectively. The proposed antenna achieves isolations of higher than 14 dB, enveloped correlation coefficients (ECC) of less than 0.25, and total efficiencies of greater than 40%. The operating frequency bands of Antenna 1 and Antenna 2 include the LTE 13 (746~787 MHz)/DCS/PCS/UMTS (1710~2170 MHz) bands and the LTE 13 (746~787 MHz)/GSM850/900 (824~960 MHz) bands, respectively.
A Note on the -Euler Measures
Kim Taekyun,Hwang Kyung-Won,Lee Byungje
Advances in Difference Equations , 2009,
Abstract: Properties of -extensions of Euler numbers and polynomials which generalize those satisfied by and are used to construct -extensions of -adic Euler measures and define -adic --series which interpolate -Euler numbers at negative integers. Finally, we give Kummer Congruence for the -extension of ordinary Euler numbers.
A Note on the q-Euler Measures
Taekyun Kim,Kyung-Won Hwang,Byungje Lee
Advances in Difference Equations , 2009, DOI: 10.1155/2009/956910
Abstract: Properties of q-extensions of Euler numbers and polynomials which generalize those satisfied by Ek and Ek(x) are used to construct q-extensions of p-adic Euler measures and define p-adic q- -series which interpolate q-Euler numbers at negative integers. Finally, we give Kummer Congruence for the q-extension of ordinary Euler numbers.
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