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1

Computational properties of three-term recurrence relations for Kummer functions

Alfredo Deaño, Javier Segura, Nico M. Temme

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 519 KB

english, 2010

2

Computing the Conical Function $P^{\mu}_{-1/2+i\tau}(x)$

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

SIAM Journal on Scientific Computing

Year:

2009

Language:

english

File:

PDF, 577 KB

english, 2009

3

Evaluation of the Modified Bessel Function of the Third Kind of Imaginary Orders

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Journal of Computational Physics

Year:

2002

Language:

english

File:

PDF, 143 KB

english, 2002

4

Numerical Methods for Special Functions || 4. Linear Recurrence Relations and Associated Continued Fractions

Gil, Amparo, Segura, Javier, Temme, Nico M.

Year:

2007

Language:

english

File:

PDF, 318 KB

english, 2007

5

Hermite Polynomials in Asymptotic Representations of Generalized Bernoulli, Euler, Bessel, and Buchholz Polynomials

José L. López, Nico M. Temme

Journal:

Journal of Mathematical Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 153 KB

english, 1999

6

The ABC of hyper recursions

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Journal of Computational and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 257 KB

english, 2006

7

Numerical aspects of special functions

Journal:

Year:

2007

Language:

english

File:

PDF, 1011 KB

english, 2007

8

Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

SIAM Journal on Scientific Computing

Year:

2012

Language:

english

File:

PDF, 679 KB

english, 2012

9

Numerical Methods for Special Functions || 12. Associated Algorithms

Gil, Amparo, Segura, Javier, Temme, Nico M.

Year:

2007

Language:

english

File:

PDF, 283 KB

english, 2007

10

Multi-Point Taylor Expansions of Analytic Functions

José L. López and Nico M. Temme

Journal:

Transactions of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 2.00 MB

english, 2004

11

Numerically Satisfactory Solutions of Hypergeometric Recursions

Amparo Gil, Javier Segura and Nico M. Temme

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 1.14 MB

english, 2007

12

On the computation and inversion of the cumulative noncentral beta distribution function

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Applied Mathematics and Computation

Year:

2019

Language:

english

File:

PDF, 500 KB

english, 2019

13

Fast, reliable and unrestricted iterative computation of Gauss–Hermite and Gauss–Laguerre quadratures

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Numerische Mathematik

Year:

2019

Language:

english

File:

PDF, 1.08 MB

english, 2019

14

Asymptotics and Numerics of Zeros of Polynomials That Are Related to Daubechies Wavelets

Journal:

Applied and Computational Harmonic Analysis

Year:

1997

Language:

english

File:

PDF, 211 KB

english, 1997

15

Computing Toroidal Functions for Wide Ranges of the Parameters

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Journal of Computational Physics

Year:

2000

Language:

english

File:

PDF, 120 KB

english, 2000

16

Analytical and numerical aspects of a generalization of the complementary error function

Alfredo Deaño, Nico M. Temme

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 424 KB

english, 2010

17

Large degree asymptotics of generalized Bessel polynomials

José Luis López, Nico M. Temme

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 208 KB

english, 2011

18

Computation of the modified Bessel function of the third kind of imaginary orders: uniform Airy-type asymptotic expansion

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 323 KB

english, 2003

19

Integral representations for computing real parabolic cylinder functions

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 282 KB

english, 2004

20

Numerically satisfactory solutions of Kummer recurrence relations

Javier Segura, Nico M. Temme

Journal:

Numerische Mathematik

Year:

2008

Language:

english

File:

PDF, 177 KB

english, 2008

21

Large degree asymptotics of generalized Bernoulli and Euler polynomials

José Luis López, Nico M. Temme

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 233 KB

english, 2010

22

On the zeros of the Scorer functions

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Journal of Approximation Theory

Year:

2003

Language:

english

File:

PDF, 167 KB

english, 2003

23

Uniform Approximations of Bernoulli and Euler Polynomials in Terms of Hyperbolic Functions

José L. López, Nico M. Temme

Journal:

Studies in Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 426 KB

english, 1999

24

Computing Complex Airy Functions by Numerical Quadrature

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Numerical Algorithms

Year:

2002

Language:

english

File:

PDF, 119 KB

english, 2002

25

An improved algorithm and a Fortran 90 module for computing the conical function

Amparo Gil, Javier Segura, Nico M. Temme

Journal:

Computer Physics Communications

Year:

2012

Language:

english

File:

PDF, 201 KB

english, 2012

26

Computing the real parabolic cylinder functions U(a, x), V(a, x)

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

ACM Transactions on Mathematical Software

Year:

2006

Language:

english

File:

PDF, 258 KB

english, 2006

27

New series expansions of the Gauss hypergeometric function

LÃ³pez, JosÃ© L., Temme, Nico M.

Journal:

Advances in Computational Mathematics

Year:

2013

Language:

english

File:

PDF, 477 KB

english, 2013

28

Numerical Methods for Special Functions || 5. Quadrature Methods

Gil, Amparo, Segura, Javier, Temme, Nico M.

Year:

2007

Language:

english

File:

PDF, 427 KB

english, 2007

29

Numerical Methods for Special Functions || 10. Inversion of Cumulative Distribution Functions

Gil, Amparo, Segura, Javier, Temme, Nico M.

Year:

2007

Language:

english

File:

PDF, 206 KB

english, 2007

30

Numerical Methods for Special Functions || 2. Convergent and Divergent Series

Gil, Amparo, Segura, Javier, Temme, Nico M.

Year:

2007

Language:

english

File:

PDF, 339 KB

english, 2007

31

The Asymptotic and Numerical Inversion of the Marcum Q -Function

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Studies in Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 216 KB

english, 2014

32

Numerical Methods for Special Functions || Back Matter

Gil, Amparo, Segura, Javier, Temme, Nico M.

Year:

2007

Language:

english

File:

PDF, 162 KB

english, 2007

33

Numerical Methods for Special Functions || 11. Further Examples

Gil, Amparo, Segura, Javier, Temme, Nico M.

Year:

2007

Language:

english

File:

PDF, 228 KB

english, 2007

34

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

Journal:

American Journal of Physics

Year:

1997

Language:

english

File:

PDF, 518 KB

english, 1997

35

On nonoscillating integrals for computing inhomogeneous Airy functions

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Mathematics of Computation

Year:

2000

Language:

english

File:

PDF, 214 KB

english, 2000

36

[Series in Analysis] Asymptotic Methods for Integrals Volume 6 || The method of stationary phase

Year:

2014

Language:

english

File:

PDF, 313 KB

english, 2014

37

Identifying Minimal and Dominant Solutions for Kummer Recursions

Alfredo Deaño, Javier Segura and Nico M. Temme

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 1016 KB

english, 2008

38

Computing solutions of the modified bessel differential equation for imaginary orders and positive arguments

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

ACM Transactions on Mathematical Software

Year:

2004

Language:

english

File:

PDF, 159 KB

english, 2004

39

GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral)

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Computer Physics Communications

Year:

2015

Language:

english

File:

PDF, 319 KB

english, 2015

40

Computing the Kummer function U(a, b, z) for small values of the arguments

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 377 KB

english, 2015

41

Integral Transforms and their Applications.by L. Debnath

Review by: Nico M. Temme

Journal:

Mathematics of Computation

Year:

1997

Language:

english

File:

PDF, 355 KB

english, 1997

42

Efficient computation of Laguerre polynomials

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Computer Physics Communications

Year:

2016

Language:

english

File:

PDF, 467 KB

english, 2016

43

Algorithm 969

Gil, Amparo, Ruiz-Antolín, Diego, Segura, Javier, Temme, Nico M.

Journal:

ACM Transactions on Mathematical Software

Year:

2016

Language:

english

File:

PDF, 289 KB

english, 2016

44

Special Functions (An Introduction to the Classical Functions of Mathematical Physics) || The Gamma Function

Year:

1996

Language:

english

File:

PDF, 1.34 MB

english, 1996

45

Special Functions (An Introduction to the Classical Functions of Mathematical Physics) || Confluent Hypergeometric Functions

Year:

1996

Language:

english

File:

PDF, 777 KB

english, 1996

46

Special Functions (An Introduction to the Classical Functions of Mathematical Physics) || Special Statistical Distribution Functions

Year:

1996

Language:

english

File:

PDF, 1.42 MB

english, 1996

47

Special Functions (An Introduction to the Classical Functions of Mathematical Physics) || Bessel Functions

Year:

1996

Language:

english

File:

PDF, 1.48 MB

english, 1996

48

Special Functions (An Introduction to the Classical Functions of Mathematical Physics) || Legendre Functions

Year:

1996

Language:

english

File:

PDF, 1001 KB

english, 1996

49

Asymptotic Approximations to the Nodes and Weights of Gauss-Hermite and Gauss-Laguerre Quadratures

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Studies in Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.09 MB

english, 2018

50

Numerically satisfactory solutions of hypergeometric recursions

Gil, Amparo, Segura, Javier, Temme, Nico M.

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 280 KB

english, 2007

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