Search Results - Representations of entire functions of one complex variable by series and integrals
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Certain operators in the space of entire functions represented by Dirichlet series of several complex variables
ISSN: 0373-3505, 2037-5298Published: Università degli Studi di Catania 01.05.1992Published in Matematiche (01.05.1992)“…In this paper, we consider the space X of all Entire functions represented by Dirichlet series equipped with various topologies…”
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Spaces of entire functions represented by vector valued Dirichlet series of two complex variables
ISSN: 1406-2283, 2228-4699Published: Tartu University of Tartu Press 01.12.2015Published in Acta et commentationes Universitatis Tartuensis de mathematica (01.12.2015)“…Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element…”
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Representation of logarithm of entire function in several complex variables
ISSN: 2075-9827Published: Vasyl Stefanyk Precarpathian National University 01.12.2012Published in Karpats'kì matematinì publìkacìï (01.12.2012)“…The integral representation of some branch of an entire on $mathbb{C}^n$function which generalized the Poisson-Jensen-Stoll Formula is obtained…”
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Representation of logarithm of entire function in several complex variables
ISSN: 2075-9827, 2313-0210Published: Vasyl Stefanyk Precarpathian National University 01.01.2013Published in Karpats'kì matematinì publìkacìï (01.01.2013)“…The integral representation of some branch of an entire on $\mathbb{C}^n$ function which generalized the Poisson-Jensen-Stoll Formula is obtained…”
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Horizons of fractal geometry and complex dimensions : 2016 Summer School, Fractal Geometry and Complex Dimensions, in celebration of the 60th birthday of Michel Lapidus, June 21-29, 2016, California Polytechnic State University, San Luis Obispo, California
ISBN: 9781470435813, 1470435810Published: Providence, R.I. American Mathematical Society 2019“…This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L…”
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Solving an eigenproblem with analyticity of the generating function
ISSN: 0374-4884, 1976-8524Published: Seoul The Korean Physical Society 01.07.2021Published in Journal of the Korean Physical Society (01.07.2021)“… The generating function is constructed as a power series in a complex variable whose coefficients are the components of a vector…”
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Integral representations and asymptotic behaviour of a Mittag-Leffler type function of two variables
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 30.10.2017Published in arXiv.org (30.10.2017)“…Integral representations play a prominent role in the analysis of entire functions…”
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Approximation of analytic functions by repeated de la Vallee Poussin sums
ISSN: 2076-7633, 2077-6853Published: Institute of Computer Science 01.06.2019Published in Kompʹûternye issledovaniâ i modelirovanie (Online) (01.06.2019)“… The simplest and natural example of a linear process of approximation of continuous periodic functions of a real variable is the approximation of these functions by partial sums of the Fourier series…”
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ENTIRENESS OF THE SPINOR L-FUNCTIONS FOR CERTAIN GENERIC CUSP FORMS ON GSp(2)
ISSN: 0002-9327, 1080-6377Published: Baltimore Johns Hopkins University Press 01.08.2004Published in American journal of mathematics (01.08.2004)“… representation, we show that its spinor L-function is continued to an entire function and satisfies the functional equation…”
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Estimate of the Order of Growth of a Class of Entire Functions on the Real Axis
ISSN: 1066-369X, 1934-810XPublished: Moscow Pleiades Publishing 01.01.2018Published in Russian mathematics (01.01.2018)“…For a class of entire functions we study the problem of estimation of the order of growth of functions on the real axis…”
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The zeros of entire functions: Theory and engineering applications
ISSN: 0018-9219Published: IEEE 01.01.1980Published in Proceedings of the IEEE (01.01.1980)“…Functions that are analytic over a complex plane are called entire functions. They may be viewed as generalizations of polynomials because they admit power series expansions that converge everywhere…”
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Global approximation for some functions
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.08.2009Published in Computer physics communications (01.08.2009)“… Nonlinear sequence transforms can be used to evaluate the function using a few terms of the series representation of the function and these transforms can be used for functions with complex argument as well…”
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Analytic continuation of the Appell function F1 and integration of the associated system of equations in the logarithmic case
ISSN: 0965-5425, 1555-6662Published: Moscow Pleiades Publishing 01.04.2017Published in Computational mathematics and mathematical physics (01.04.2017)“…The Appell function F 1 (i.e., a generalized hypergeometric function of two complex variables…”
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A Connection Between Elementary Functions and Higher Transcendental Functions
ISSN: 0036-1399, 1095-712XPublished: Philadelphia Society for Industrial and Applied Mathematics 01.01.1969Published in SIAM journal on applied mathematics (01.01.1969)“…If f is holomorphic on a domain D in the complex plane, an analogous function F of several complex variables is constructed by taking a weighted average of f over the convex hull of {z1, z2, ⋯, zk…”
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Advances in ultrametric analysis : 12th International Conference p-adic Functional Analysis, July 2-6, 2012, University of Manitoba, Winnipeg, Canada
ISBN: 9780821891421, 0821891421Published: Providence, R.I American Mathematical Society 2013“… of Banach spaces over valued fields, integral representations of continuous linear maps on $p…”
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Note on de Haas-van Alphen diamagnetism in thin, free-electron films
ISSN: 2158-3226, 2158-3226Published: AIP Publishing LLC 01.03.2012Published in AIP advances (01.03.2012)“… That difference hinges around our use, in calculating the Helmholtz free energy F, of an inverse Laplace transform, Bromwich-type contour integral representation for the sharp distribution cutoff at Fermi level μ…”
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The Gamma Function
ISBN: 9788770226264, 8770226261Published: Denmark Routledge 2021Published in Special Functions and Their Application (2021)“… The gamma function is usually studied in courses on complex variable theory and in advanced calculus…”
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New Exact Solutions of Differential Equations Derived by Fractional Calculus
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 09.08.2005Published in arXiv.org (09.08.2005)“…Fractional calculus generalizes the derivative and antiderivative operations of differential and integral calculus from integer orders to the entire complex plane…”
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