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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
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Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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The twisted tensor L-function of GSp(4)Young, Justin. January 2009 (has links)
Thesis (Ph. D.)--Ohio State University, 2009. / Title from first page of PDF file. Includes vita. Includes bibliographical references (p. 128-131).
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A study of two variables Legendre polynomialsKhan, Mumtaz Ahmad, Singh, Mukesh Pal 25 September 2017 (has links)
The present paper deals with a study of a two variable polynomial Pn(x) analogues to the Legendre polynomial Pn(x). The paper contains differential recurrence relations, a partial differential equation, double generating functions, double and triple hypergeometric forms, a special property and a bilinear double generating function for the newly defined polynomials Pn,k(x, y).
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On a general class of Polynomials Ln (x, y) of two variables suggested by the Polynomials Ln (x, y) of Ragab and Ln (x) of Prabhakar and RekhaKhan, Mumtaz Ahmad, Ahmad, Khvurshed 25 September 2017 (has links)
No description available.
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A computer laboratory for generalized information theory (COLGIT)Cvijanovic, Zoran. January 2007 (has links)
Thesis (Ph. D.)--State University of New York at Binghamton, Department or Systems Science and Industrial Engineeering, Thomas J. Watson School of Engineering and Applied Science, 2007. / Includes bibliographical references.
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Integral representations of Herglotz-Nevanlinna functionsNedic, Mitja January 2017 (has links)
In this thesis, we study integral representations of Herglotz-Nevanlinna functions, that is to say holomorphic functions defined on a product of several copies of the complex upper half-plane having non-negative imaginary part. The manuscript is divided into three parts, beginning with a general introduction followed by two papers. In the general introduction, we familiarize ourselves with the concept of a Herglotz-Nevanlinna function as well as providing a comprehensive introduction into the theory of integral representations for this particular class of functions. Paper I treats exclusively the two-variable case and presents an integral representation of Herglotz-Nevanlinna functions in two complex variables in terms of a real number, two non-negative numbers and a positive Borel measure satisfying two properties. Three properties that hold for the class of measures appearing in such integral representations are also proven. In Paper II, we provide an integral representation for the class of Herglotz-Nevanlinna functions in arbitrarily many complex variables in terms of a real number, a linear term and a positive Borel measure satisfying two properties. Properties of the class of measures appearing in this representation are then discussed in detail as well as alternative descriptions of said class. Finally, a symmetry formula satisfied by Herglotz-Nevanlinna functions is proved at the end.
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The twisted tensor L-function of GSp(4)Young, Justin N. 08 September 2009 (has links)
No description available.
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On a Generalizations of Lauricella’s Functions of Several Variables / On a Generalizations of Lauricella’s Functions of Several VariablesAhmad Khan, Mumtaz, Nisar, K. S. 25 September 2017 (has links)
The present paper introduces 10 Appell’s type generalized functions Ni, i = 1, 2, ...... 10 by considering the product of n − 3F2 functions. The paper contains Fractional derivative representations, Integral representations and symbolic forms similar to those obtained by J. L. Burchnall and T. W.Chaundy for the four Appell’s functions, have been obtained for these newly defined functions N1, N2.......N10. The results obtained are believed to be new. / El presente artículo introduce 10 tipo de funciones generalizadas tipo Appell Ni, 1 ≤ i ≤ 10, considerando el producto de n funciones 3F2. El artículo contiene representaciones por derivadas fraccionales, representaciones integrales y formas simbólicas similares a aquellas obtenidas por J. L. Burchnall y T. W. Chaundy para las cuatro funciones de Appell, han sido obtenidas para estas nuevas funciones N1, N2.......N10. Los resultados parecen ser nuevos.
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Generalized integral transforms related to the theory of potential and stokes flow / Γενικευμένοι ολοκληρωτικοί μετασχηματισμοί στην θεωρία δυναμικού και στη ροή StokesΔόσχορης, Μιχαήλ 29 July 2011 (has links)
The main concern of this Dissertation is focused on the derivation of novel integral formulation for simple problems. This alternative integral representations display a rapid decay as the complex parameter involved tends to infinity and are therefore suitable for numerical computations and for the study of the asymptotic properties of those solutions. There is also another important advantage attached to the novel formulae presented. These integral representations are useful for solving changing-type boundary value problems (such as Dirichlet data on part of the boundary and Neumann data on the complementary of the boundary).
The following problems are analyzed: (a) The Laplacian operator in the interior of a Square, (b) the Laplacian operator in the interior and exterior of a Sphere and, (c) the Stokes' operator concerning the irrotational flow of an incompressible, viscous fluid.
Moreover, the behaviour of the Gegenbauer functions of the first and second kind of general complex degree and order on the cut (-1, +1) are examined. / Με οδηγό μια νέα μεθοδολογία επίλυσης Μερικών Διαφορικών Εξισώσεων (ΜΔΕ),
προβλήματα που σχετίζονται με την θεωρία Δυναμικού όπως επίσης και με την ροή Stokes, θα αναλυθούν. Απώτερος σκοπός αποτελεί η ανάπτυξη ολοκληρωτικών αναπαραστάσεων, η οποίες χαρακτηρίζονται από ταχεία σύγκλιση, με σκοπό να χρησιμοποιηθούν στην ασυμπτωτική μελέτη, στην αριθμητική ανάλυση όπως επίσης και στην επίλυση προβλημάτων μεικτών συνοριακών συνθηκών (π.χ. δεδομένα Dirichlet στο ένα κομμάτι του συνόρου και δεδομένα Neumann στο υπόλοιπο). Συγκεκριμένα, τα ακόλουθα προβλήματα αναλύονται: (α) Εξίσωση Laplace στο εσωτερικό ενός τετραγώνου, (β) εξίσωση Laplace στο εσωτερικό και εξωτερικό μιας σφαίρας και, (γ) εξίσωση αστρόβιλης ροής Stokes στο εσωτερικό ενός σφαιρικού κελύφους το οποίο στην συνέχεια καταλήγει, με οριακές διαδικασίες, στο εσωτερικό και εξωτερικό μιας σφαίρας. Τέλος, παρουσιάζονται αναπτύγματα και ασυμπτωτικές εκφράσεις των συναρτήσεων Gegenbauer.
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Field reconstructions and range tests for acoustics and electromagnetics in homogeneous and layered media / Feld-Rekonstruktionen und Range Tests für Akustik und Elektromagnetik in homogenen und geschichteten MedienSchulz, Jochen 04 December 2007 (has links)
No description available.
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