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Special Functions: An Introduction to the Classical Functions of Mathematical Physics

- N. Temme
- Mathematics
- 1996

Bernoulli, Euler and Stirling Numbers. Useful Methods and Techniques. The Gamma Function. Differential Equations. Hypergeometric Functions. Orthogonal Polynomials. Confluent Hypergeometric Functions.… Expand

Numerical methods for special functions

- Amparo Gil, J. Segura, N. Temme
- Computer Science
- 22 October 2007

TLDR

Uniform Airy-type expansions of integrals

- A. Daalhuis, N. Temme
- Mathematics, Physics
- 1 March 1994

A new method for representing the remainder and coefficients in Airy-type expansions of integrals is given. The quantities are written in terms of Cauchy-type integrals and are natural… Expand

The asymptotic expansion of the incomplete gamma functions : (preprint)

- N. Temme
- Mathematics
- 1977

Earlier investigations on uniform asymptotic expansions of the incomplete gamma functions are reconsidered. The new results include estimations for the remainder and the extension of the results to… Expand

Asymptotic and numerical aspects of the noncentral chi-square distribution

- N. Temme
- Mathematics
- 1 March 1993

Abstract The concentral χ2-distribution is related with the series e −x ∑ n=0 ∞ x n n! P(μ+ n, y)=1− e −x ∑ n=0 ∞ ∞ n n! Q(μ+n, y) where P(α, z) and Q(α, z) are incomplete gamma functions (central… Expand

Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function : (prepublication)

- N. Temme
- Mathematics
- 1974

New asymptotic expansions are derived for the incomplete gamma functions and the incomplete beta function. In each case the expansion contains the complementary error function and an asymptotic… Expand

Critical conditions for phytoplankton blooms

- U. Ebert, M. Arrayás, N. Temme, B. Sommeijer, J. Huisman
- Medicine, Mathematics
- Bulletin of mathematical biology
- 1 November 2001

TLDR

The uniform asymptotic expansion of a class of integrals related to cumulative distribution functions

- N. Temme
- Mathematics
- 1981

An asymptotic expansion is given for a class of integrals for large values of a parameter, which corresponds with the degrees of freedom in a certain type of cumulative distribution functions. The… Expand

ASYMPTOTIC ESTIMATES FOR GENERALIZED STIRLING NUMBERS

- R. Chelluri, L. Richmond, N. Temme
- Mathematics
- 1999

Uniform asymptotic expansions are given for the Stirling numbers of the first kind for integral arguments and for the second kind as defined for real arguments by Flajolet and Prodinger. The… Expand

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