Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 30 for “"Special Functions"”.
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Operators and special functions in random matrix theory
The Fredholm determinants of integral operators with kernel of the form (A(x)B(y) − A(y)B(x))/(x−y) arise in probabilistic calculations in Random Matrix Theory. These were extensively studied by Tracy and Widom, so we refer to them as Tracy–Widom operators. We prove that the integral operator with …
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Improved Tsunami Modeling Via q-Advanced Special Functions
This thesis studies q-advanced functions that are used as forcing terms in the forced wave equation and the Korteweg-de Vries equation in modeling tsunamis. The model improves existing tsunami models and is compared to data collected from the 2011 Japanese tsunami. The main results show that one …
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Combinatorial methods in number theory: Sieve theory and special functions
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms
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Representation of special polynomials by the cycle indicator
Certain classes of special functions have been shown to have Cycle Indicator representations as well as recurrence relations. Most remarkably, it is shown how the Cycle Indicator can be used to unify or generalize special functions. Methods of unifying special functions are elaborated on. It …
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Umbral Calculus A Different Mathematical Language
… of the Umbral Method, relevant in the theory of special functions, for the solution of ordinary and partial differential equations, including those of fractional nature. It will provide an account of the theory and applications of Operational Methods allowing the "translation" of the theory of …
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AN EXPOSITION OF THE RIEMANN ZETA FUNCTION
… of analytic continuation and relationships to special functions. Some generalizations of the Riemann zeta function are outlined, as well as the calculation of zeta constants and the development of some identities. Additionally, one of the great unsolved problems of mathematics, the Riemann …
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An Introduction To Hellmann-feynman Theory
… to the study of the variation of zeros of special functions and orthogonal polynomials are surveyed. Possible extensions are discussed.
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Theory of multidimensional Laplace transforms and boundary value problems
… These theorems are applied to most commonly used special functions to obtain many new two and three dimensional Laplace transform pairs from known one and two dimensional Laplace transforms. Last, some boundary value problems characterized by linear partial differential equations involving heat …
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Structured Sparsity Promoting Functions: Theory and Applications
… structured semiconvex sparsity promoting functions from convex sparsity promoting functions and their Moreau envelopes. Properties of these functions are developed by leveraging their structure. In particular, we show that the behavior of the constructed function can be easily controlled …
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The propagation of planetary-scale waves into the upper atmosphere
… model atmospheres in terms of approximate Hough functions and other special functions. These solutions are seen to be equivalent to solutions obtained by other authors for p1anetary waves propagating on a 8 plane. Numerical solutions to the propagation equation are also obtained using January and …
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Study on transformation-based invisibility cloaks
… parameters can be engineered to achieve special functions, and the coordinate transformation theory, has offered an unprecedented opportunity for realizing invisibility cloaking. Coordinate transformation theory predicts that by squeezing the space to form a "hole" in it, any object …
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The press of a people : the evolution of Spanish-language news and the changing political community
… treatment of minorities by the state, (b) the special functions demanded by consumers of the ethnic media, and (c) the norms held by both journalists and the community reveals deficiencies in the existing thinking on the mass media. Using content analysis and elite interviews with journalists …
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Mean-variance hedging in an illiquid market
… error in terms of integrals of well-known special functions.
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Fast algorithm and surface integral equations for two-dimensional materials modeling
… regimes) is not good enough. By scaling special functions and applying discrete Fourier transform (DFT), the multipole expansions with dense matrices can be transformed to diagonal matrices with stable accuracy. Therefore a broadband 2D FMA with high efficiency and accuracy is achieved …
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A comparative analysis of web-based GIS applications using usability metrics
… being difficult to learn and understand because special functions are needed to manipulate the maps. Hence, it is essential to evaluate the usability of WGIS applications. Usability is an important factor in ensuring the development of quality, usable software products. On the other hand, there …
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Fast algorithms for small particle scattering problems
… of matrices. When implemented using special kinds of random matrices, the computational complexity of the multilevel solver is comparable to that of the fast multipole method. These methods, however, require visiting every entry of the interaction matrix at least once, thereby …
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Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory
… transformation formulas involving various special functions such as the digamma function, Hurwitz zeta function and modified Bessel functions, through integrals involving the Riemann $\Xi$-function. Our motivation is a beautiful formula involving the digamma and the Riemann $\Xi$-functions …
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Transform texture classification
… Unlike traditional methods, which use various special functions to describe the properties of each transform matrix, a new approach directly applies a principle component analysis technique to the transform matrix. The Karhunen-Loeve Transfonn (KLT) extracts a vector of dominant features, …
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Some Problems Concerning the Generalized Hyperbolic and Related Distributions
… with in a much simpler manner replacing the special function by a finite series. For completeness, a reliable routine to approximate the function when z is small was also implemented. The second problem concerns the fitting of the univariate hyperbolic and univariate generalized inverse …
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