Relevant bibliographies by topics / Transcendence of the power series

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  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'Transcendence of the power series'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Transcendence of the power series"

1

Wu, Qiang, and Ping Zhou. "Transcendence of some multivariate power series." Frontiers of Mathematics in China 9, no. 2 (2014): 425–30. http://dx.doi.org/10.1007/s11464-014-0363-9.

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Karadeniz Gözeri, Gül, Ayten Pekin, and Adem Kılıçman. "On the transcendence of some power series." Advances in Difference Equations 2013, no. 1 (2013): 17. http://dx.doi.org/10.1186/1687-1847-2013-17.

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Allouche, J. P. "Transcendence of formal power series with rational coefficients." Theoretical Computer Science 218, no. 1 (1999): 143–60. http://dx.doi.org/10.1016/s0304-3975(98)00256-4.

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Allouche, J. P., D. Gouyou-Beauchamps, and G. Skordev. "Transcendence of Binomial and Lucas' Formal Power Series." Journal of Algebra 210, no. 2 (1998): 577–92. http://dx.doi.org/10.1006/jabr.1998.7606.

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Borwein, Peter, and Michael Coons. "Transcendence of power series for some number theoretic functions." Proceedings of the American Mathematical Society 137, no. 04 (2008): 1303–5. http://dx.doi.org/10.1090/s0002-9939-08-09737-2.

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COONS, MICHAEL. "THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE." International Journal of Number Theory 06, no. 01 (2010): 211–17. http://dx.doi.org/10.1142/s1793042110002958.

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We prove various transcendence results regarding the Stern sequence and related functions; in particular, we prove that the generating function of the Stern sequence is transcendental. Transcendence results are also proven for the generating function of the Stern polynomials and for power series whose coefficients arise from some special subsequences of Stern's sequence.
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Sun, Hae-Sang. "Borel’s conjecture and the transcendence of the Iwasawa power series." Proceedings of the American Mathematical Society 138, no. 06 (2010): 1955–63. http://dx.doi.org/10.1090/s0002-9939-10-10287-1.

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COONS, MICHAEL, and YOHEI TACHIYA. "TRANSCENDENCE OVER MEROMORPHIC FUNCTIONS." Bulletin of the Australian Mathematical Society 95, no. 3 (2017): 393–99. http://dx.doi.org/10.1017/s0004972717000193.

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In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to prove strong transcendence statements in many general situations. In particular, as a consequence of a more general result, we show that if$F(z)\in \mathbb{C}[[z]]$is a power series with coefficients from a finite set, then$F(z)$is either rational or it is transcendental over the field of meromorphic functions.
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Ammous, B., S. Driss, and M. Hbaib. "Continued Fractions and Transcendence of Formal Power Series Over a Finite Field." Mediterranean Journal of Mathematics 13, no. 2 (2014): 527–36. http://dx.doi.org/10.1007/s00009-014-0507-x.

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Ammous, Basma, Sana Driss, and Mohamed Hbaib. "A transcendence criterion for continued fraction expansions in positive characteristic." Publications de l'Institut Math?matique (Belgrade) 98, no. 112 (2015): 237–42. http://dx.doi.org/10.2298/pim141206012a.

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Dissertations / Theses on the topic "Transcendence of the power series"

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Hu, Yining. "Quelques Résultats Arithmétiques Impliquant des Suites Engendrées par Automates." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066333.

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Cette thèse est composée d'une partie sur la conjecture des familles stables par unions et de quatre autres chapitres consacrés aux sujets liés aux suites automatiques. Dans la première partie, on donne une condition suffisante pour qu'une version affaiblie de la conjecture soit vraie. On donne aussi un majorant de la fréquence maximale minimale dans une famille de taille $n$. Dans Chapitre 3 on démontre que la formule d'extraction des coefficients des séries algébriques connue pour les corps à caractéristique $0$ est une conséquence d'un théorème de Furstenberg qui permet d'écrire certaines s
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Lemos, de Morais Alice. "A class of generalized beta distributions, Pareto power series and Weibull power series." Universidade Federal de Pernambuco, 2009. https://repositorio.ufpe.br/handle/123456789/6088.

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Made available in DSpace on 2014-06-12T18:01:54Z (GMT). No. of bitstreams: 2 arquivo3788_1.pdf: 702720 bytes, checksum: bc4a0f4ac532f594aa3c60b71c963230 (MD5) license.txt: 1748 bytes, checksum: 8a4605be74aa9ea9d79846c1fba20a33 (MD5) Previous issue date: 2009<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Nesta dissertação trabalhamos com três classes de distribuições de probabilidade, sendo uma já conhecida na literatura, a Classe de Distribuições Generalizadas Beta (Beta-G) e duas outras novas classes introduzidas nesta tese, baseadas na composição das distribuições Pa
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Korte, Robert A. "Inference in Power Series Distributions." Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1352937611.

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Wang, Linhong. "NOETHERIAN SKEW POWER SERIES RINGS." Diss., Temple University Libraries, 2008. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/14014.

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Mathematics<br>Ph.D.<br>This dissertation is concerned with noncommutative analogues of formal power series rings in multiple variables. Our motivating examples arises from quantized coordinate rings; the completions of these quantized coordinate rings are iterated noetherian skew power series rings. Our first focus is on $q$-commutative power series rings, having the following form: $R = k_q[[x_1,\ldots,x_n]]$, where $q = (q_{ij})_{n\times n}$ with $q_{ii}=1$ and $q_{ij} = q^{-1}_{ji} \in \k^{\times}$ and where $x_jx_i = q_{ji} x_i x_j$. The corresponding skew Laurent series ring is $L=k_q
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O'Brien, Rita Marie. "Properties of Power Series Rings." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc504026/.

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This thesis investigates some of the properties of power series rings. The material is divided into three chapters. In Chapter I, some of the basic concepts of rings which are a prerequisite to an understanding of the definitions and theorems which follow are stated. Simple properties of power series rings are developed in Chapter II. Many properties of a ring R are preserved when we attach the indeterminant x to form the power series ring R[[x]]. Further results of power series rings are examined in Chapter III. An important result illustrated in this chapter is that power series rings posses
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Zekavat, Mahdi S. Mohammad. "Orderings, cuts and formal power series." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ63973.pdf.

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Khan, Md Abdul Hakim. "Singularity analysis by summing power series." Thesis, University of Bristol, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368391.

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Hellström, Lars. "The Diamond Lemma for Power Series Algebras." Doctoral thesis, Umeå University, Mathematics and Mathematical Statistics, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-92.

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<p>The main result in this thesis is the generalisation of Bergman's diamond lemma for ring theory to power series rings. This generalisation makes it possible to treat problems in which there arise infinite descending chains. Several results in the literature are shown to be special cases of this diamond lemma and examples are given of interesting problems which could not previously be treated. One of these examples provides a general construction of a normed skew field in which a custom commutation relation holds.</p><p>There is also a general result on the structure of totally ordered semig
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Lagrange, John. "Power Series Solutions to Ordinary Differential Equations." TopSCHOLAR®, 2001. http://digitalcommons.wku.edu/theses/672.

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In this thesis, the reader will be made aware of methods for finding power series solutions to ordinary differential equations. In the case that a solution to a differential equation may not be expressed in terms of elementary functions, it is practical to obtain a solution in the form of an infinite series, since many differential equations which yield such a solution model an actual physical situation. In this thesis, we introduce conditions that guarantee existence and uniqueness of analytic solutions, both in the linear and nonlinear case. Several methods for obtaining analytic solutions a
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Brewer, Thomas S. "ALGEBRAIC PROPERTIES OF FORMAL POWER SERIES COMPOSITION." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/23.

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The study of formal power series is an area of interest that spans many areas of mathematics. We begin by looking at single-variable formal power series with coefficients from a field. By restricting to those series which are invertible with respect to formal composition we form a group. Our focus on this group focuses on the classification of elements having finite order. The notion of a semi-cyclic group comes up in this context, leading to several interesting results about torsion subgroups of the group. We then expand our focus to the composition of multivariate formal power series, lookin
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Books on the topic "Transcendence of the power series"

1

Anderson, P. M. Series compensation of power systems. PBLSH! Inc., 1996.

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Balser, Werner. From divergent power series to analytic functions: Theory and application of multisummable power series. Springer-Verlag, 1994.

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Ruiz, Jesús M. The basic theory of power series. Vieweg, 1993.

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Krob, Daniel, Alexander A. Mikhalev, and Alexander V. Mikhalev, eds. Formal Power Series and Algebraic Combinatorics. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04166-6.

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Ruiz, Jesús M. The Basic Theory of Power Series. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-84994-6.

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Hal Leonard Publishing Corporation (COR). Rock Power Drums (Rock Power Series). Hal Leonard Publishing Corporation, 1991.

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Hal Leonard Publishing Corporation (COR). Rock Power Bass (Rock Power Series). Hal Leonard Publishing Corporation, 1991.

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Morrison, G. W. Power of the A2s (Power Series). OPC Railprint, 2004.

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Maalouf, Jean. The Healing Power of Peace (The Healing Power Series) (The Healing Power Series). Twenty-Third Publications, 2005.

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The Healing Power of Joy (The Healing Power Series) (The Healing Power Series). Twenty-Third Publications, 2005.

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Book chapters on the topic "Transcendence of the power series"

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Peet, Christopher. "The Axial Age in Context: The Growth of Civilization and the Expansion of Power." In Practicing Transcendence. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14432-6_4.

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Murty, M. Ram, and Purusottam Rath. "Transcendence of Some Infinite Series." In Transcendental Numbers. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0832-5_24.

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Giaquinta, Mariano, and Giuseppe Modica. "Power Series." In Mathematical Analysis. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-4414-7_7.

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Tao, Terence. "Power series." In Texts and Readings in Mathematics. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1804-6_4.

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Remmert, Reinhold. "Power Series." In Theory of Complex Functions. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-0939-3_6.

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Flanders, Harley. "Power Series." In Calculus. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2480-6_9.

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Rodríguez, Rubí E., Irwin Kra, and Jane P. Gilman. "Power Series." In Graduate Texts in Mathematics. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4419-7323-8_3.

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Gamelin, Theodore W. "Power Series." In Undergraduate Texts in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21607-2_5.

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Ullrich, David. "Power series." In Complex Made Simple. American Mathematical Society, 2008. http://dx.doi.org/10.1090/gsm/097/02.

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Shakarchi, Rami. "Power Series." In Problems and Solutions for Complex Analysis. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1534-9_2.

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Conference papers on the topic "Transcendence of the power series"

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Schost, Éric. "Multivariate power series multiplication." In the 2005 international symposium. ACM Press, 2005. http://dx.doi.org/10.1145/1073884.1073925.

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Jiang Ping. "Series power quality compensator." In APSCOM 2000 - 5th International Conference on Advances in Power System Control, Operation and Management. IEE, 2000. http://dx.doi.org/10.1049/cp:20000439.

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de Lacerda, Macklyster Lanucy Scherre Stofel, Tatiana Saviato Macedo, Denizar Cruz Martins, and Walbermark Marques dos Santos. "Experimental Analysis for Low Power Series-Series Compensated Inductive Power Transfer System." In 2019 IEEE 15th Brazilian Power Electronics Conference and 5th IEEE Southern Power Electronics Conference (COBEP/SPEC). IEEE, 2019. http://dx.doi.org/10.1109/cobep/spec44138.2019.9065746.

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Liqing Tong, Zhaoming Qian, Lingxiao Xue, and Fang Z. Peng. "A novel series-in series hybrid active power filter." In 2008 IEEE Applied Power Electronics Conference and Exposition - APEC 2008. IEEE, 2008. http://dx.doi.org/10.1109/apec.2008.4522982.

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Gathageth, Muaad, Othman Omran Khalifa, Aisha-Hassan A. Hashim, Noreha Abdul Malik, Faridah Abd Rahman, and Muhammed Zahradeen Ahmed. "Wireless Power Transfer System using Series-Series Compensation Topology." In 2021 8th International Conference on Computer and Communication Engineering (ICCCE). IEEE, 2021. http://dx.doi.org/10.1109/iccce50029.2021.9467249.

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Kosik, Michal, and Jiri Lettl. "Analysis of Bifurcation in Series-Series and Series-Parallel Compensated Inductive Power Transfer." In 2019 IEEE PELS Workshop on Emerging Technologies: Wireless Power Transfer (WoW). IEEE, 2019. http://dx.doi.org/10.1109/wow45936.2019.9030605.

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Fei Kong, Cuauhtemoc Rodriguez, Gehan Amaratunga, and Sanjib Kumar Panda. "Series connected photovoltaic power inverter." In 2008 IEEE International Conference on Sustainable Energy Technologies (ICSET). IEEE, 2008. http://dx.doi.org/10.1109/icset.2008.4747077.

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Fei Kong, Fanbo He, Zhengming Zhao, and Ting Lu. "Series connected photovoltaic power inverter." In 2013 International Conference on Electrical Machines and Systems (ICEMS). IEEE, 2013. http://dx.doi.org/10.1109/icems.2013.6754461.

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Dimitrov, Dimitar, Dimitar Vasilev, Christo Hinow, Peter Hinow, and Georg Hinow. "Power of the Series Inverter." In 2007 IEEE International Symposium on Industrial Electronics. IEEE, 2007. http://dx.doi.org/10.1109/isie.2007.4374633.

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Tarnini, Mohamed Y. "Simplified series active power filters." In Energy Conference (EPEC). IEEE, 2010. http://dx.doi.org/10.1109/epec.2010.5697225.

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Reports on the topic "Transcendence of the power series"

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Çalışkan, Fatma. Liouville Numbers and Lacunary Power Series in the Field of Formal Laurent Series. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2021. http://dx.doi.org/10.7546/crabs.2021.07.01.

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Broderick, Robert Joseph, Jimmy Edward Quiroz, Abraham Ellis, Matthew J. Reno, Jeff Smith, and Roger Dugan. Time series power flow analysis for distribution connected PV generation. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1088099.

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Poggio, A. J., S. T. Pennock, R. A. Zacharias, C. A. Avalle, and H. L. Carney. NASA Boeing 757 HIRF test series low power on-the-ground tests. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/604230.

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Author, Not Given. An assessment of the quality of selected EIA data series: Electric power data. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6341164.

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Baring-Gould, I. Wind for Schools Project Power System Brief, Wind Powering America Fact Sheet Series. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/953825.

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Terzioğlu, Tosun. Role of power series spaces in the structure theory of nuclear frechet spaces. Sabancı University, 2012. http://dx.doi.org/10.5900/su_fens_wp.2012.20458.

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Robinson, W., and T. Bauer. Power coupling in TREAT M-Series: New experimental results from M7CAL and updated analyses. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/714162.

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McBroom, Scott T., Julian Garza, and Pat Wildemann. Development of an Auxiliary Power Unit Specification for Medium Duty Series Hybrid Electric Vehicles. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada346303.

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Ruth, M., T. Mai, E. Newes, et al. Transportation Energy Futures Series. Projected Biomass Utilization for Fuels and Power in a Mature Market. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1219930.

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Ruth, Mark, Trieu Mai, Emily Newes, et al. Transportation Energy Futures Series: Projected Biomass Utilization for Fuels and Power in a Mature Market. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1069180.

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