• Title/Summary/Keyword: poly paper

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A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a

  • JUNG, Nam-Soon;RYOO, Cheon Seoung
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.475-489
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    • 2018
  • In this paper, by using the polylogarithm function, we introduce a generalized poly-Bernoulli numbers and polynomials with variable a. We find several combinatorial identities and properties of the polynomials. We give some properties that is connected with the Stirling numbers of second kind. Symmetric properties can be proved by new configured special functions. We display the zeros of the generalized poly-Bernoulli polynomials with variable a and investigate their structure.

IDENTITIES INVOLVING q-ANALOGUE OF MODIFIED TANGENT POLYNOMIALS

  • JUNG, N.S.;RYOO, C.S.
    • Journal of applied mathematics & informatics
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    • v.39 no.5_6
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    • pp.643-654
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    • 2021
  • In this paper, we define a modified q-poly-Bernoulli polynomials of the first type and modified q-poly-tangent polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS

  • Kurt, Burak
    • Communications of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.19-26
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    • 2021
  • Degenerate versions of the special polynomials and numbers since they have many applications in analytic number theory, combinatorial analysis and p-adic analysis. In this paper, we define the degenerate poly-Euler numbers and polynomials arising from the modified polyexponential functions. We derive explicit relations for these numbers and polynomials. Also, we obtain some identities involving these polynomials and some other special numbers and polynomials.

ON FULLY MODIFIED q-POLY-EULER NUMBERS AND POLYNOMIALS

  • C.S. RYOO
    • Journal of Applied and Pure Mathematics
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    • v.6 no.1_2
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    • pp.1-11
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    • 2024
  • In this paper, we define a new fully modified q-poly-Euler numbers and polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

Analysis of Electrical Characteristics of Low Temperature and High Temperature Poly Silicon TFTs(Thin Film Transistors) by Step Annealing (스텝 어닐링에 의한 저온 및 고온 n형 다결정 실리콘 박막 트랜지스터의 전기적 특성 분석)

  • Lee, Jin-Min
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.24 no.7
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    • pp.525-531
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    • 2011
  • In this paper, experimental analyses have been performed to compare the electrical characteristics of n channel LT(low temperature) and HT(high temperature) poly-Si TFTs(polycrystalline silicon thin film transistors) on quartz substrate according to activated step annealing. The size of the particles step annealed at low temperature are bigger than high temperature poly-Si TFTs and measurements show that the electric characteristics those are transconductance, threshold voltage, electric effective mobility, on and off current of step annealed at LT poly-Si TFTs are high more than HT poly-Si TFT's. Especially we can estimated the defect in the activated grade poly crystalline silicon and the grain boundary of LT poly-Si TFT have more high than HT poly-Si TFT's due to high off electric current. Even though the size of particles of step annealed at low temperature, the electrical characteristics of LT poly-Si TFTs were investigated deterioration phenomena that is decrease on/off current ratio depend on high off current due to defects in active silicon layer.

The electrical properties change of TIPS-Pentacene due to polymer blending (Polymer blending에 따른 TIPS-Pentacene의 특성 변화)

  • Lim, Chang-Yoon;Kim, Yong-Hoon;Han, Jeong-In
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1499-1500
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    • 2011
  • In this paper, we investigated the electrical properties change of 6,13-bis(triisopropyl-silylethynyl) pentacene (TIPS-pentacene) depending on polymer blend. We fabricated organic thin film transistor (OTFT) using blending solution of small molecule and polymer. In this study poly(2-methoxy-5-(2-ethyl-hexyloxy)-1,4-phenylene-vinylene) (MEH-PPV), poly (9-vinylcarbazole) (PVK), poly [N,N'-bis(4-butylphenyl)-N,N'-bis(phenyl)benzidine] (poly-TPD), poly(${\alpha}$-methyl styrene), Poly(methyl methacrylate) (PMMA) are used as a polymer. Fabricated OTFT with blending solution of TIPS-pentacene and PVK shows best performance in this experiment. OTFT fabricated by blending solution of TIPS-pentacene and PVK shows field effect mobility of 0.0189 $cm^2/V{\cdot}s$, on/off ratio of 1.9E-5 and threshold voltage of 7.4 V.

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Properties of Poly-Si TFT's using Oxide-Nitride-Oxide Films as Gate Insulators (Oxide-Nitride-Oxide막을 게이트 절연막으로 사용하여 제조한 다결정실리콘 박막트랜지스티의 특성)

  • 이인찬;마대영
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.16 no.12
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    • pp.1065-1070
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    • 2003
  • HTO(High Temperature Oxide) films are mainly used as a gate insulator for polysilicon thin film transistors(Poly-Si TFT's). The HTO films, however, show the demerits of a high leakage current and a low electric breakdown voltage comparing with conventional thermal oxides even though they have a better surface in roughness than the thermal oxides. In this paper, we propose an ONO(Oxide-Nitride-Oxide) multilayer as the gate insulator for poly-Si TFT's. The leakage current and electric breakdown voltage of the ONO and HTO were measured. The drain current variation of poly-Si TFT's with a variety of gate insulators was observed. The thickness optimization in ONO films was carried out by studying I$\_$on/I$\_$off/ ratio of the poly-Si TFT's as a function of the thickness of ONO film adopted as gate insulator.

Electrical properties of poly-Si TFT by crystallization method for embedded TFT memory application (임베다드 TFT 메모리 적용을 위한 결정화 방법에 따른 전기적 특성평가)

  • You, Hee-Wook;Cbo, Won-Ju
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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    • pp.356-356
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    • 2010
  • In this paper, Poly silicon thin-film transistors (poly-Si TFTs) with employed the SPC (Solid phase crystallization) and ELA (Excimer laser annealing) methods on glass panel substrate are fabricated to investigate the electrical poperies. Poly-Si TFTs have recess-channel structure with formated source/drain regions by LPCVD n+ poly Si in low $650^{\circ}C$ temperature. the ELA-TFT show higher on/off current ratio and subthreshold swing than a-Si and SPC TFT that therefore, these results showed that the ELA-TFT might be beneficial for practical embedded TFT memory device application.

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