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The efficient evaluation of the hypergeometric function of a matrix argument
 MATH. COMP
, 2005
"... We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix. ..."
Abstract

Cited by 79 (17 self)
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We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix.
Wishart and PseudoWishart distributions under elliptical laws and related distributions in the shape theory context
 JOURNAL OF STATISTICAL PLANNING AND INFERENCE
, 2006
"... ..."
Serbia
"... Efficiency and justification of hypergeometric functions application in achieving simple formulas used in numerical simulation of helicopter rotor blades theory are presented in this paper. First of all, basic equations of stream field over helicopter rotor are formulated, their decomposition is mad ..."
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Efficiency and justification of hypergeometric functions application in achieving simple formulas used in numerical simulation of helicopter rotor blades theory are presented in this paper. First of all, basic equations of stream field over helicopter rotor are formulated, their decomposition is made and mean induced velocity harmonics are integrally presented. Theoretical basis of hypergeometric function application in transformation of integral equations of k bladed rotor average induced velocity into special functions then follows. All necessary conditions for transformation hypergeometric functions into special functions are defined. Various variants of integral transformation of expressions obtained in that way are presented here by numerical simulation and convenient solutions are found among them. This approach to effectivity of hypergeometric function application in helicopter rotor blades theory by numerical simulation allows achieving of synthetic method which can be used to define helicopter k bladed main rotor optimal characteristics.