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SOME PROPERTIES OF GENERALIZED q-POLY-EULER NUMBERS AND POLYNOMIALS WITH VARIABLE a

  • KIM, A HYUN
    • Journal of applied mathematics & informatics
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    • v.38 no.1_2
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    • pp.133-144
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    • 2020
  • In this paper, we discuss generalized q-poly-Euler numbers and polynomials. To do so, we define generalized q-poly-Euler polynomials with variable a and investigate its identities. We also represent generalized q-poly-Euler polynomials E(k)n,q(x; a) using Stirling numbers of the second kind. So we explore the relation between generalized q-poly-Euler polynomials and Stirling numbers of the second kind through it. At the end, we provide symmetric properties related to generalized q-poly-Euler polynomials using alternating power sum.

A NOTE ON q-ANALOGUE OF POLY-BERNOULLI NUMBERS AND POLYNOMIALS

  • Hwang, Kyung Won;Nam, Bo Ryeong;Jung, Nam-Soon
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.611-621
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    • 2017
  • In this paper, we define a q-analogue of the poly-Bernoulli numbers and polynomials which is generalization of the poly Bernoulli numbers and polynomials including q-polylogarithm function. We also give the relations between generalized poly-Bernoulli polynomials. We derive some relations that are connected with the Stirling numbers of second kind. By using special functions, we investigate some symmetric identities involving q-poly-Bernoulli polynomials.

A NOTE ON q-ANALOGUE OF POLY-EULER POLYNOMIALS AND ARAKAWA-KANEKO TYPE ZETA FUNCTION

  • KIM, YOUNG ROK;LEE, HUI YOUNG;KIM, AHYUN
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.611-623
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    • 2020
  • In this paper, we define a q-analogue of the poly-Euler numbers and polynomials which is generalization of the poly Euler numbers and polynomials including q-analogue of polylogarithm function. We also give the relations between generalized poly-Euler polynomials. Furthermore, we introduce zeta fuctions of Arakawa-Kaneko type and talk their properties and the relation with q-analogue of poly-Euler polynomials.

Mechanical characteristics of polycrystalline 3C-SiC thin films using Ar carrier gas by APCVD (순 아르콘 캐리어 가스와 APCVD로 성장된 다결정 3C-SiC 박막의 기계적 특성)

  • Han, Ki-Bong;Chung, Gwiy-Sang
    • Journal of Sensor Science and Technology
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    • v.16 no.4
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    • pp.319-323
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    • 2007
  • This paper describes the mechanical characteristics of poly 3C-SiC thin films grown on Si wafers with thermal oxide. In this work, the poly 3C-SiC thin film was deposited by APCVD method using only Ar carrier gas and single precursor HMDS at $1100^{\circ}C$. The elastic modulus and hardness of poly 3C-SiC thin films were measured using nanoindentation. Also, the roughness of surface was investigated by AFM. The resulting values of elastic modulus E, hardness H and the roughness of the poly 3C-SiC film are 305 GPa, 26 GPa and 49.35 nm respectively. The mechanical properties of the grown poly 3C-SiC film are better than bulk Si wafers. Therefore, the poly 3C-SiC thin film is suitable for abrasion, high frequency and MEMS applications.

Studies on the Addition of the Hydroquinonesulfonic Acid to Poly(vinyl alcohol)/poly(acrylic acid-co-maleic acid) Membranes to Improve the Ion Conductivity for Fuel Cell Applications (Poly(vinyl alcohol)/poly(acrylic acid-co-maleic acid) 이온교환막에 이온전도도 향상을 hydroquinonesulfonic acid 첨가 연구)

  • 임지원;황호상
    • Membrane Journal
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    • v.14 no.1
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    • pp.44-52
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    • 2004
  • This paper concerns the development of a cationic polymeric membranes for direct methanol fuel cell. The crosslinked poly(vinyl alcohol) (PVA) membranes with poly(acrylic acid-co-maleic acid) (PAM) and hydroquinonesulfonic acid (HQSA) as the crosslinking agents were prepared according to the amount of crosslinking agents. The resulting membranes were characterized in terms of methanol permeability, proton conductivity, water content and ion exchange capacity. The methanol permeability and proton conductivity increased with increasing PAM content up to 9 wt% and then decreased. This trend is considered the effect of the cross linking rather than the introduction of hydrophilic groups. When the HQSA contents were varied, no interesting increases of proton conductivity, water content and ion exchange capacity were found.

High Temperature Crystallized Poly-Si on the Molybdenum Substrate for Thin Film Transistor Applications (몰리브덴 기판 위에 고온 결정화된 다결정 실리콘 박막 트랜지스터 특성에 관한 연구)

  • 박중현;김도영;고재경;이준신
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07a
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    • pp.202-205
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    • 2002
  • Polycrystalline silicon thin film transistors (poly-Si TFTs) are used in a wide variety of applications, and will figure prominently future high-resolution, high-performance flat panel display technology However, it was very difficult to fabricate high performance poly-Si TFTs at a temperature lower than 300$^{\circ}C$ for glass substrate. Conventional process on a glass substrate were limited temperature less than 600$^{\circ}C$ This paper proposes a high temperature process above 750$^{\circ}C$ using a flexible molybdenum substrate deposited hydrogenated amorphous silicon (a-Si:H) and than crystallized a rapid thermal processor (RTP) at the various temperatures from 750$^{\circ}C$ to 1050$^{\circ}C$. The high temperature annealed poly-Si film illustrated field effect mobility higher than 30 $\textrm{cm}^2$/Vs, achieved I$\sub$on//I$\sub$off/ current ratio of 10$^4$ and crystall volume fraction of 92%. In this paper, we introduce the new TFTs Process as flexible substrate very promising roll-to-roll process, and exhibit the properties of high temperature crystallized poly-Si Tn on molybdenum substrate.

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Effect of PVOH or polyDADMAC Addition on Surface Sizing with Oxidized Starch (PVOH와 polyDADMAC 첨가에 의한 산화전분의 표면사이징 효과 변화)

  • Seo, Dongil;Jeong, Young Bin;Jeong, Kwang Ho;Lee, Hak Lae;Youn, Hye Jung
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.45 no.4
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    • pp.1-8
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    • 2013
  • High loading of printing and writing grades with fillers has many advantageous aspects in papermaking because it allows decreasing fiber use and reducing manufacturing cost. High loading technology, however, has some disadvantageous aspects as well. It decreases physical properties of papers, especially strength properties. The problem associated with high loading can be reduced by applying surface sizing starch solution onto paper surface. It is important to control the penetration of the surface sizing starch solution into paper web to obtain the desired property improvement. In this study, the effect of the addition of two polymers into starch solution on paper properties has been examined. PVOH and polyDADMAC were used as polymeric additives for surface sizing with oxidized starch. Viscosity of starch solutions and surface roughness of dried starch films on glass slides showed that some interactions between polymeric additives and oxidized starch have been occurred and the most extensive interaction with starch solution was obtained with high molecular weight polyDADMAC. Low molecular weight PVOH was most effective in improving folding endurance and internal bond strength. On the other hand, polymer addition showed no effect on surface strength of paper. This indicates that not the level of starch holdout but the bonding strength of starch itself has predominant influence on surface strength of paper.

SYMMETRIC IDENTITIES FOR DEGENERATE q-POLY-BERNOULLI NUMBERS AND POLYNOMIALS

  • JUNG, N.S.;RYOO, C.S.
    • Journal of applied mathematics & informatics
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    • v.36 no.1_2
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    • pp.29-38
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    • 2018
  • In this paper, we introduce a degenerate q-poly-Bernoulli numbers and polynomials include q-logarithm function. We derive some relations with this polynomials and the Stirling numbers of second kind and investigate some symmetric identities using special functions that are involving this polynomials.

Faults Analysis and Dynamic Simulation Method for Poly-Phase PM Synchronous Motor (다상 영구자석 동기전동기의 고장특성 해석에 관한 연구)

  • Choi, Se-Kwon;Cho, Jun-Seok;Kim, Ju-Yong;Jung, Tae-Uk
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.826_827
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    • 2009
  • This paper introduces major potential faults of Poly-Phase Permanent Magnet Synchronous Motor and their simulation realization methods. The faults of Poly-Phase PM Synchronous Motor, generally, stator turn faults, demagnetizing field. Based on the derived expressions, Poly-Phase PM synchronous Motor simulation model, which is capable of representing stator turn faults, is implemented in Maxwell.

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A STUDY OF POLY-BERNOULLI POLYNOMIALS ASSOCIATED WITH HERMITE POLYNOMIALS WITH q-PARAMETER

  • Khan, Waseem A.;Srivastava, Divesh
    • Honam Mathematical Journal
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    • v.41 no.4
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    • pp.781-798
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    • 2019
  • This paper is designed to introduce a Hermite-based-poly-Bernoulli numbers and polynomials with q-parameter. By making use of their generating functions, we derive several summation formulae, identities and some properties that is connected with the Stirling numbers of the second kind. Furthermore, we derive symmetric identities for Hermite-based-poly-Bernoulli polynomials with q-parameter by using generating functions.