Academic literature on the topic 'Hankel-Operator'

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Journal articles on the topic "Hankel-Operator"

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Yang, Jun. "Commuting Quasihomogeneous Toeplitz Operator and Hankel Operator on Weighted Bergman Space." Abstract and Applied Analysis 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/408168.

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We characterize the commuting Toeplitz operator and Hankel operator with quasihomogeneous symbols. Also, we use it to show the necessary and sufficient conditions for commuting Toeplitz operator and Hankel operator with ordinary functions.
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Osawa, Tomoko. "Finite rank intermediate Hankel operators and the big Hankel operator." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–3. http://dx.doi.org/10.1155/ijmms/2006/51705.

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LetLa2be a Bergman space. We are interested in an intermediate Hankel operatorHφMfromLa2to a closed subspaceMofL2which is invariant under the multiplication by the coordinate functionz. It is well known that there do not exist any nonzero finite rank big Hankel operators, but we are studying same types in caseHφMis close to big Hankel operator. As a result, we give a necessary and sufficient condition aboutMthat there does not exist a finite rankHφMexceptHφM=0.
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Batra, Ruchika. "ESSENTIALLY λ-RATIONALIZED TOEPLITZ HANKEL OPERATORS". jnanabha 52, № 02 (2022): 06–22. http://dx.doi.org/10.58250/jnanabha.2022.52202.

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We introduce the notion of Essentially λ-Rationalized Toeplitz Hankel operator on the space L2 for a general complex number λ. Precisely, we define such operators via operator equation λk2 MzK2 X − XMzK1 = K1, where k1 and k2 are non zero integers and K1 is a compact operator on L2. We investigate some properties of the set λ-ERTHO(L2), the set of all Essentially λ-Rationalized Toeplitz Hankel operators of order (k1, k2
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Belhadj, M., and J. J. Betancor. "On the surjectivity of Hankel convolution operators on Beurling-type distribution spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 135, no. 3 (2005): 479–512. http://dx.doi.org/10.1017/s0308210500003978.

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In this paper we consider Beurling-type distributions in the Hankel setting. The Hankel transform and Hankel convolution are studied on Beurling-type distributions. We also introduce a class of ultra-differential operators that allows us to show a Hankel version of the second structure theorem of Komatsu and Braun. Necessary and sufficient conditions are established in order that a Beurling distribution generates a surjective Hankel convolution operator.
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Belhadj, M., and J. J. Betancor. "On the surjectivity of Hankel convolution operators on Beurling-type distribution spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 135, no. 3 (2005): 479–512. http://dx.doi.org/10.1017/s0308210505000259.

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In this paper we consider Beurling-type distributions in the Hankel setting. The Hankel transform and Hankel convolution are studied on Beurling-type distributions. We also introduce a class of ultra-differential operators that allows us to show a Hankel version of the second structure theorem of Komatsu and Braun. Necessary and sufficient conditions are established in order that a Beurling distribution generates a surjective Hankel convolution operator.
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Datt, Gopal, and Bhawna Bansal Gupta. "Essential commutativity and spectral properties of slant Hankel operators over Lebesgue spaces." Journal of Mathematical Physics 63, no. 6 (2022): 061703. http://dx.doi.org/10.1063/5.0086628.

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In this paper, the commutative and spectral properties of a kth-order slant Hankel operator ( k ≥ 2, a fixed integer) on the Lebesgue space of n-dimensional torus, [Formula: see text], where [Formula: see text] is the unit circle, are studied. Characterizations for the commutativity and essential commutativity between higher order slant Hankel operators and slant Toeplitz operators have been obtained. The presence of an open disk in the point spectrum of a kth-order slant Hankel operator with a unimodular inducing function has also been ensured.
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Nakazi, Takahiko, and Tomoko Osawa. "Finite-rank intermediate Hankel operators on the Bergman space." International Journal of Mathematics and Mathematical Sciences 25, no. 1 (2001): 19–31. http://dx.doi.org/10.1155/s0161171201001971.

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LetL2=L2(D,r dr dθ/π)be the Lebesgue space on the open unit disc and letLa2=L2∩ℋol(D)be the Bergman space. LetPbe the orthogonal projection ofL2ontoLa2and letQbe the orthogonal projection ontoL¯a,02={g∈L2;g¯∈La2, g(0)=0}. ThenI−P≥Q. The big Hankel operator and the small Hankel operator onLa2are defined as: forϕinL∞,Hϕbig(f)=(I−P)(ϕf)andHϕsmall(f)=Q(ϕf)(f∈La2). In this paper, the finite-rank intermediate Hankel operators betweenHϕbigandHϕsmallare studied. We are working on the more general space, that is, the weighted Bergman space.
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Zegeye, Taddesse, and S. C. Arora. "The compression of a slant Hankel operator to H2." Publications de l'Institut Math?matique (Belgrade) 74, no. 88 (2003): 129–36. http://dx.doi.org/10.2298/pim0374129z.

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A slant Hankel operator K? with symbol ? in L?(T) (in short L?), where T is the unit circle on the complex plane, is an operator whose representing matrix M = (aij) is given by ai,j = (?,z-2i-j), where (?, ?) is the usual inner product in L2(T) (in short L2). The operator L? denotes the compression of K? to H2(T) (in short H2). We prove that an operator L on H2 is the compression of a slant Hankel operator to H2 if and only if U *L = LU2, where U is the unilateral shift. Moreover, we show that a hyponormal L? is necessarily normal and L? can not be an isometry.
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Bonsall, F. F., and D. Walsh. "Symbols for trace class Hankel operators with good estimates for norms." Glasgow Mathematical Journal 28, no. 1 (1986): 47–54. http://dx.doi.org/10.1017/s0017089500006327.

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Peller [4, 5] has proved that a Hankel operator S on the Hardy space H2 is in the trace class if and only if with h analytic on the open unit disc Dand with its second derivative belonging to the Bergman space L1a. This theorem does not include an estimate for the trace class norm ∥S∥1, of the operator in terms of the symbol function. In fact it is clear that cannot give an estimate for since the first two terms in the coefficient sequence of the Hankel operator have been removed by differentiation.
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Arora, S. C., та Jyoti Bhola. "Essentiallyλ-Hankel Operators". Journal of Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/865396.

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The notion of essentiallyλ-Hankel operators is introduced on the spaceH2. In addition to the discussion of some algebraic and topological properties of the setessHankλ, the set of all essentiallyλ-Hankel operators onH2, it is shown that an essentially Toeplitz Rhaly operator with determining sequence〈an〉is inessHankλλ≠0if and only iflimn→∞n+1an=0.
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Dissertations / Theses on the topic "Hankel-Operator"

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Ehrhardt, Torsten. "Factorization theory for Toeplitz plus Hankel operators and singular integral operators with flip." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=972573305.

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Browning, Brian L. "Time and frequency domain scattering for the one-dimensional wave equation /." Thesis, Connect to this title online; UW restricted, 1999. http://hdl.handle.net/1773/5788.

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Petkevičiūtė, Daiva. "Mechaninių virpesių sistemą aprašančių diferencialinių lygčių sprendinio reiškimas baigtine eksponenčių suma." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2007. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2007~D_20070816_142415-98558.

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Šiame darbe tiriamos naujo metodo, skirto funkcijų aproksimavimui baigtine eksponenčių suma galimybės, taikant šį metodą konkrečios diferencialinių lygčių sistemos, aprašančios mechaninius virpesius, sprendiniams. Viena iš galimų darbe pristatomos mechaninių virpesių sistemos taikymo sričių – jūros bangų arba vėjo sukeltus virpesius panaudoti kaip atsinaujinantį energijos šaltinį. Tokių mechanizmų veikimo principai prieš pradedant kurti realų veikiantį modelį analizuojami taikant matematinį modeliavimą. Sudėtingos lygčių sistemos sprendiniai, priklausomai nuo sprendimo metodo, gaunami laipsnin
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Santos, Pedro. "Approximation Methods for Convolution Operators on the Real Line." Doctoral thesis, Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500362.

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This work is concerned with the applicability of several approximation methods (finite section method, Galerkin and collocation methods with maximum defect splines for uniform and non uniform meshes) to operators belonging to the closed subalgebra generated by operators of multiplication bz piecewise continuous functions and convolution operators also with piecewise continuous generating function.
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Bose, Gibin. "Approximation H infini, interpolation analytique et optimisation convexe : application à l’adaptation d’impédance large bande." Thesis, Université Côte d'Azur, 2021. http://www.theses.fr/2021COAZ4007.

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La thèse étudie en profondeur l'un des problèmes classiques de la conception de circuits RF, le problème de l'adaptation d'impédance. L’adaptation d’impédance consiste à maximiser le transfert de puissance d'une source à une charge dans une bande de fréquences. Les antennes sont l'un des dispositifs classiques dans lesquels l'adaptation d'impédance joue un rôle important. La conception d'un circuit d'adaptation pour une charge donnée revient principalement à trouver une matrice de diffusion sans perte qui, lorsqu'elle est enchaînée à la charge, minimise la réflexion de la puissance dans l'ense
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Chu, Hsiang-Hui, and 朱香蕙. "Hankel Operator of Linear Time Invariant Systems with Input Delay." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/48046395236441819054.

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碩士<br>東海大學<br>數學系研究所<br>86<br>The aim of the thesis is to compute the Hanekl operator and Hankel normof stable linear time-invariant systems with a single commensurate input delayand a single feedthrough delay. For the system with commensurate type of a singleinput delay, the Hankel norm is equal to the maximum Hankel singular value,while this is not true for the system with feedthrough type of a single inputdelay. By the way, the contrllability and observability gramiams for thelinear time-invariant systems with a single commensurate delay are constructed via the dilation process.-1 -aHankel
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Gupta, Rajeev. "The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality." Thesis, 2015. http://etd.iisc.ac.in/handle/2005/3640.

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The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the Carathéodory-Fejérinterpolation problem on the polydisc$\D^n. $ in the special case of $n=2$ (which follows from Ando's theorem as well), this necessary condition is made explicit. We discuss an alternative approach to the Carathéodory-Fejérinterpolation problem, in the special case of $n=2$, adapting a theorem of Korányi and Pukánzsky. As a consequence, a class of polynomials
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Gupta, Rajeev. "The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality." Thesis, 2015. http://etd.iisc.ernet.in/2005/3640.

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The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the Carathéodory-Fejérinterpolation problem on the polydisc$\D^n. $ in the special case of $n=2$ (which follows from Ando's theorem as well), this necessary condition is made explicit. We discuss an alternative approach to the Carathéodory-Fejérinterpolation problem, in the special case of $n=2$, adapting a theorem of Korányi and Pukánzsky. As a consequence, a class of polynomials
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Santos, Pedro. "Approximation Methods for Convolution Operators on the Real Line." Doctoral thesis, 1998. https://monarch.qucosa.de/id/qucosa%3A18294.

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This work is concerned with the applicability of several approximation methods (finite section method, Galerkin and collocation methods with maximum defect splines for uniform and non uniform meshes) to operators belonging to the closed subalgebra generated by operators of multiplication bz piecewise continuous functions and convolution operators also with piecewise continuous generating function.
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Books on the topic "Hankel-Operator"

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An introduction to Hankel operators. Cambridge University Press, 1988.

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Operator theory in function spaces. M. Dekker, 1990.

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Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.). Grassmannians, moduli spaces, and vector bundles: Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View towards Coherent Sheaves, October 6-11, 2006, Cambridge, Massachusetts. Edited by Ellwood D. (David) 1966- and Previato Emma. American Mathematical Society, 2011.

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Romain, Yves. An Invitation to Operator-Based Statistics. Edited by Frédéric Ferraty and Yves Romain. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780199568444.013.16.

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This article deals with operator-based statistics and its advantages. It first provides an overview of the historical and pedagogical aspects of operator-based statistics before explaining the underlying practical and theoretical motivations, along with synthetic and conceptual arguments. In particular, it develops the operator-based approach for factor multivariate analysis (and for their asymptotic studies) and offers several examples that show the value of operators in statistics. The discussion focuses on covariance operators, Hankel and Toeplitz operators, regression operators, measure-as
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Operator Theory in Function Spaces (Mathematical Surveys and Monographs). 2nd ed. American Mathematical Society, 2007.

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(Editor), Daniel Alpay, and Israel Gohberg (Editor), eds. Interpolation, Schur Functions and Moment Problems (Operator Theory: Advances and Applications / Linear Operators and Linear Systems). Birkhauser, 2006.

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Combinatorics and Random Matrix Theory. American Mathematical Society, 2016.

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Book chapters on the topic "Hankel-Operator"

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Russo, Bernard. "The small Hankel operator in several complex variables." In Complex Analysis and Related Topics. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8698-7_16.

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Garayev, Mubariz T. "The Berezin Number, Norm of a Hankel Operator and Related Topics." In Operator Algebras and Mathematical Physics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18182-0_6.

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Amer, Aisha Ahmed. "Second Hankel Determinant for New Subclass Defined by a Linear Operator." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28443-9_6.

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Conceição, Ana C., Viktor G. Kravchenko, and Francisco S. Teixeira. "Factorization of Some Classes of Matrix Functions and the Resolvent of a Hankel Operator." In Factorization, Singular Operators and Related Problems. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0227-0_8.

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Heinig, G. "Properties of “derived” Hankel matrices." In Recent Progress in Operator Theory. Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8793-9_9.

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Sakhnovich, Lev. "Infinite Hankel Block Matrices, Extremal Problems." In Topics in Operator Theory. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0158-0_27.

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Roch, Steffen, and Bernd Silbermann. "Toeplitz and Hankel Algebras – Axiomatic and Asymptotic Aspects." In Operator Theory, Operator Algebras, and Matrix Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72449-2_14.

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Curto, Raúl, Paul Muhly, and Jingbo Xia. "Random Toeplitz and Hankel Operators." In Contributions to Operator Theory and its Applications. Birkhäuser Basel, 1988. http://dx.doi.org/10.1007/978-3-0348-9284-1_15.

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Gadidov, Radu. "On the Commutant Lifting Theorem and Hankel Operators." In Algebraic Methods in Operator Theory. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0255-4_1.

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Cotlar, Mischa, and Cora Sadosky. "Hankel Forms and Operators in Hardy Spaces with Two Szegö Weights." In Operator Theory and Interpolation. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8422-8_6.

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Conference papers on the topic "Hankel-Operator"

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Adams, Jay L., Robert J. Veillette, and Tom T. Hartley. "Initialization of Fractional-Order Systems Using the Hankel Operator." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48426.

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This paper demonstrates the use of the Hankel operator to characterize the initial-condition response of a fractional-order system. A general initial-condition response can be determined for any input applied before t = 0. Two techniques for approximating the Hankel operator are discussed. These approximation methods are applied to illustrative examples, demonstrating a general characterization of natural responses.
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Wong, Voon Siong, Langford B. White, and Doug Gray. "Unified Hankel Norm Approximations Using The Divided Difference Operator." In 2007 Information, Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/idc.2007.374527.

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Adams, Jay L., Robert J. Veillette, and Tom T. Hartley. "Estimation of the Hankel Singular Values of Fractional-Order Systems." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87289.

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This paper applies the Rayleigh-Ritz method to approximating the Hankel singular values of fractional-order systems. The algorithm is presented, and estimates of the first ten Hankel singular values of G(s) = 1/(sq+1) for several values of q ∈ (0, 1] are given. The estimates are computed by restricting the operator domain to a finite-dimensional space. The Hankel-norm estimates are found to be within 15% of the actual values for all q ∈ (0, 1].
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Ohta, Y. "A study on the norm of mixed Hankel-Toeplitz operator." In Proceedings of 2000 American Control Conference (ACC 2000). IEEE, 2000. http://dx.doi.org/10.1109/acc.2000.878713.

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Hara, Hiroki, and Tomomichi Hagiwara. "Properties of the Quasi L2/L2 Hankel Norms and the L2/L2 Hankel Operator of Sampled-Data Systems*." In 2019 18th European Control Conference (ECC). IEEE, 2019. http://dx.doi.org/10.23919/ecc.2019.8795799.

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Eghbiq, Abdussalam, and Maslina Darus. "Second Hankel determinant for the class of analytic functions defined by new differential operator." In THE 2017 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Author(s), 2018. http://dx.doi.org/10.1063/1.5028024.

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Oshah, Anessa, and Maslina Darus. "Upper bound of second Hankel determinant for a class of analytic functions associated with generalised derivative operator." In 2015 International Conference on Research and Education in Mathematics (ICREM7). IEEE, 2015. http://dx.doi.org/10.1109/icrem.2015.7357022.

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Jonckheere, Edmond, and J. Juang. "A finite polynomial algorithm for computing the largest eigenvalue of the "Toeplitz+Hankel" operator of the H∞ problem." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267275.

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