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Groups, Special Functions and Rigged Hilbert Spaces [PDF]
We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini +2 more
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Unified Approach to Fractional Calculus Images of Special Functions—A Survey
Evaluation of images of special functions under operators of fractional calculus has become a hot topic with hundreds of recently published papers. These are growing daily and we are able to comment here only on a few of them, including also some of the ...
Virginia Kiryakova
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Dynamic function specialization [PDF]
Function specialization is a compilation technique that consists in optimizing the body of a function for specific values of an argument. Different versions of a function are created to deal with the most frequent values of the arguments, as well as the default case. Compilers can do a better optimization with the knowledge of run-time behaviour of the
Ap, Arif Ali, Rohou, Erven
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Determination of plutonium temperature using the special trans functions theory [PDF]
The problem of estimating plutonium temperature by an iterative procedure based on the special trans functions theory has been studied in some detail.
Perović Slavica M., Bauk Sanja I.
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Recurrent identities for two special functions of hypergeometric type
The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Recurrence and Eigenfunction Methods for Non-Trivial Models of Discrete Binary Choice
Understanding how systems relax to equilibrium is a core theme of statistical physics, especially in economics, where systems are known to be subject to extrinsic noise not included in simple agent-based models.
James Holehouse
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More Special Functions Trapped [PDF]
We extend the technique of using the Trapezoidal Rule for efficient evaluation of the Special Functions of Mathematical Physics given by integral representations.
Schwartz, Charles
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Landen inequalities for special functions [PDF]
In this paper our aim is to present some Landen inequalities for Gaussian hypergeometric functions, confluent hypergeometric functions, generalized Bessel functions and for general power series.
Baricz, Árpád
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Groups, Jacobi functions, and rigged Hilbert spaces [PDF]
This paper is a contribution to the study of the relations between special functions, Lie algebras and rigged Hilbert spaces. The discrete indices and continuous variables of special functions are in correspondence with the representations of their ...
Celeghini, Enrico +2 more
core +1 more source
Analytical Parameter Estimation of the SIR Epidemic Model. Applications to the COVID-19 Pandemic
The SIR (Susceptible-Infected-Removed) model is a simple mathematical model of epidemic outbreaks, yet for decades it evaded the efforts of the mathematical community to derive an explicit solution.
Dimiter Prodanov
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