Hypergeometric Functions
Mostrando 1-12 de 13 artigos, teses e dissertações.
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1. Revealing potential long non-coding RNA biomarkers in lung adenocarcinoma using long non-coding RNA-mediated competitive endogenous RNA network
In our study, we aimed to reveal potential long non-coding RNAs (lncRNA) biomarkers in lung adenocarcinoma (LAD) using lncRNA-mediated competing endogenous RNAs (ceRNAs) network (LMCN). Competing lncRNA-mRNA interactions were identified using the hypergeometric test. Co-expression analysis for the competing lncRNA-mRNA interactions was implemented, and relyi
Braz J Med Biol Res. Publicado em: 07/08/2017
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2. A função hipergeométrica e o pêndulo simples / The hypergeometric function and the simple pendulum
Este trabalho tem por objetivo modelar e resolver, matematicamente, um problema físico conhecido como pêndulo simples. Discutimos, como caso particular, as chamadas oscilações de pequena amplitude, isto é, uma aproximação que nos leva a mostrar que o período de oscilação é proporcional à raiz quadrada do quociente entre o comprimento do pêndulo
Publicado em: 2011
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3. Introdução ao cálculo de ordem arbitrária / Introduction to the arbitrary order calculus
Efetuamos um levantamento histórico concernente ao cálculo integral e diferencial de ordem arbitrária, também conhecido como cálculo de ordem fracionária ou ainda cálculo fracionário, com o intuito de justificar sua importância, nos dias de hoje, a partir de uma audaciosa e profética frase proferida por Leibniz. A partir das várias definições pa
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 30/09/2010
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4. Alguns resultados em partições planas / Some results in plane partitions
Neste trabalho vamos abordar dois resultados em partições planas. O primeiro, chamado Teorema Fundamental de MacMahon, nos dá uma fórmula da função geradora de partições planas de um número natural n; cuja versão da demonstração que será apresentada neste trabalho foi a prova dada por L. Carlitz em 1967. O segundo, chamado Conjectura de MacMahon
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 14/05/2010
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5. Oscilador de Dirac: ImplicaÃÃes da violaÃÃo da simetria de Lorentz e da massa dependente da posiÃÃo.
In this work we study the Dirac Oscillator (DO) in a threefold way. In the first way, we study DO with Lorentz symmetry violation. This violation is implemented through vectorial and an axial terms. We realize a non-relativistic limit and we obtain that the background vector field does not modify the energy spectrum. However, in the case of the background ax
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/07/2008
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6. A family of vortex rings and a variational application to potential flows around three-dimensional bodies
A variational formulation and solution of general three-dimensional potential flows gave rise to the construction of a special family of ‘trial functions’. This family is composed by circular-sector vortex rings, here named α-rings, i.e., rings that are positioned on the border of a circular sector with aperture angle α. An explicit formula for the vel
Journal of the Brazilian Society of Mechanical Sciences and Engineering. Publicado em: 2008-06
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7. On the Mittag-Leffler function / Sobre a função de Mittag-Leffler
This work presents an introductory study of a second order, linear and homogeneous, ordinary differential equation with three singular regular points, including a singularity at the infinity. We obtain the hypergeometric equation and, by means of the Frobenius method, we introduce the hypergeometric function which is regular at the origin. By a convenient li
Publicado em: 2008
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8. Hypergeometric generating functions for values of Dirichlet and other L functions
Although there is vast literature on the values of L functions at nonpositive integers, the recent appearance of some of these values as the coefficients of specializations of knot invariants comes as a surprise. Using work of G. E. Andrews [(1981) Adv. Math. 41, 173–185; (1986) q-Series: Their Development and Application in Analysis, Combinatories, P
National Academy of Sciences.
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9. Classification of hypergeometric identities for π and other logarithms of algebraic numbers
This paper provides transcendental and algebraic framework for the classification of identities expressing π and other logarithms of algebraic numbers as rapidly convergent generalized hypergeometric series in rational parameters. Algebraic and arithmetic relations between values of p+1Fp hypergeometric functions and their values are analyzed. The existing
The National Academy of Sciences.
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10. The matrix-valued hypergeometric equation
The hypergeometric differential equation was found by Euler [Euler, L. (1769) Opera Omnia Ser. 1, 11–13] and was extensively studied by Gauss [Gauss, C. F. (1812) Comm. Soc. Reg. Sci. II 3, 123–162], Kummer [Kummer, E. J. (1836) Riene Ang. Math. 15, 39–83; Kummer, E. J. (1836) Riene Ang. Math. 15, 127–172], and Riemann [Riemann, B. (1857) K. Ges
National Academy of Sciences.
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11. SOME BILINEAR GENERATING FUNCTIONS*
In the present paper, the author applies some of his earlier results which extend the well-known Hille-Hardy formula for the Laguerre polynomials to certain classes of generalized hypergeometric polynomials in order to derive various generalizations of a bilinear generating function for the Jacobi polynomials proved recently by Carlitz. The corresponding res
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12. A Generating Function for Certain Coefficients Involving Several Complex Variables*
In an attempt to unify a number of generating functions for certain classes of generalized hypergeometric polynomials, Lagrange's expansion formula is applied to prove a generating relation for an n-dimensional polynomial with arbitrary coefficients. It is also shown how these coefficients can be specialized to obtain the generalized Lauricella function as a