Computing the confluent hypergeometric function, \(M(a,b,x)\)
From MaRDI portal
Publication:5958926
DOI10.1007/s002110100285zbMath0995.65029OpenAlexW2054575057MaRDI QIDQ5958926
Publication date: 23 October 2002
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002110100285
Computation of special functions and constants, construction of tables (65D20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
Related Items
New series expansions for the confluent hypergeometric function \(M(a,b,z)\) ⋮ On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. IV: Poles ⋮ Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya-Szegö inequality with applications ⋮ On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. III: Clusters of saddle points ⋮ Explicit formula for the valuation of catastrophe put option with exponential jump and default risk ⋮ Stochastic equations for a self-regulating gene ⋮ Computation of the confluent hypergeometric function \(U(a,b,x)\) and its derivative for positive arguments ⋮ An optimal stopping problem in the stochastic Gilpin-Ayala population model ⋮ Nonquadratic stochastic model predictive control: a tractable approach ⋮ Semi-analytical solutions to one-dimensional advection-diffusion equations with variable diffusion coefficient and variable flow velocity ⋮ Convergent expansions of the confluent hypergeometric functions in terms of elementary functions ⋮ Computing the Kummer function \(U\)(\textit{a, b, z}) for small values of the arguments ⋮ Acceleration of generalized hypergeometric functions through precise remainder asymptotics ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ The efficient evaluation of the hypergeometric function of a matrix argument ⋮ Orthogonal confluent hypergeometric lattice polynomials ⋮ THE SQUARED ORNSTEIN‐UHLENBECK MARKET ⋮ Computing Hypergeometric Functions Rigorously ⋮ On bounds for Kummer’s function ratio
