25 resultados para special functions

em Bulgarian Digital Mathematics Library at IMI-BAS


Relevância:

100.00% 100.00%

Publicador:

Resumo:

A group-theoretic method of obtaining more general class of generating functions from a given class of partial quasi-bilateral generating functions involving Hermite, Laguerre and Gegenbaur polynomials are discussed.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information and statistical distribution theory. The results presented in the essay cover a period of time in Mathai's research from 1982 to 2008 and are all related to the thematic area of the gravitationally stabilized solar fusion reactor and fractional reaction-diffusion, taking into account concepts of non-extensive statistical mechanics. The time period referred to above coincides also with Mathai's exceptional contributions to the establishment and operation of the Centre for Mathematical Sciences, India, as well as the holding of the United Nations (UN)/European Space Agency (ESA)/National Aeronautics and Space Administration (NASA) of the United States/ Japanese Aerospace Exploration Agency (JAXA) Workshops on basic space science and the International Heliophysical Year 2007, around the world. Professor Mathai's contributions to the latter, since 1991, are a testimony for his social con-science applied to international scientific activity.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

. - () () , . , - . , , . .

Relevância:

70.00% 70.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: Primary 26A33, 30C45; Secondary 33A35

Relevância:

70.00% 70.00%

Publicador:

Resumo:

MSC 2010: 33E12, 30A10, 30D15, 30E15

Relevância:

60.00% 60.00%

Publicador:

Resumo:

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.

Relevância:

60.00% 60.00%

Publicador:

Resumo:

In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X2 < X1 ) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr(X2 < X1 ) has been worked out for the majority of the well-known distributions including Normal, uniform, exponential, gamma, weibull and pareto. However, there are still many other distributions for which the form of R is not known. We have identified at least some 30 distributions with no known form for R. In this paper we consider some of these distributions and derive the corresponding forms for the reliability R. The calculations involve the use of various special functions.

Relevância:

60.00% 60.00%

Publicador:

Resumo:

Partially supported by Grant MM-428/94 of MESC.

Relevância:

60.00% 60.00%

Publicador:

Resumo:

2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.

Relevância:

60.00% 60.00%

Publicador:

Resumo:

Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.Gf

Relevância:

60.00% 60.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: 33D15, 33D90, 39A13

Relevância:

60.00% 60.00%

Publicador:

Resumo:

This survey is devoted to some fractional extensions of the incomplete lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for the fractional heat equation. By using Caputos differintegration operator and the Laplace transform, new integral forms of the solutions are obtained. In each of the different cases the integrands are expressed in terms of a convolution of two special functions of Wrights type.

Relevância:

60.00% 60.00%

Publicador:

Resumo:

2000 Math. Subject Classification: 33E12, 65D20, 33F05, 30E15

Relevância:

60.00% 60.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: 26A33, 33C60, 44A20

Relevância:

60.00% 60.00%

Publicador:

Resumo:

Mathematics Subject Classification: 26A33, 33C60, 44A15