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1: Wadim Zudilin

… ►He has been an Associate Professor at Moscow State University (Russia), an Ostrowski Fellow at Institut Henri Poincaré and Université Paris 6 (France), a Humboldt Fellow at the Cologne University (Germany) and a Visiting Researcher at the Max Planck Institute for Mathematics in Bonn (Germany). …de B. …

2: Bibliography E

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Les fonctions résurgentes. Tome I. Université de Paris-Sud Département de Mathématique, Orsay (French).

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External Links:

MathReview (Carlos A. Berenstein)

Referenced by:

§2.7(ii).

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Les fonctions résurgentes. Tome II. Université de Paris-Sud Département de Mathématique, Orsay (French).

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External Links:

MathReview (Carlos A. Berenstein)

Referenced by:

§2.7(ii).

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3: Bibliography P

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Notes:

Computer algebra system designed for computations in number theory. Many transcendental functions are also included. PARI is also available as a C library to allow for faster computations. Originally developed by Henri Cohen and co-workers at the Université Bordeaux I.

External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index.

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La Théorie des Fonctions de Bessel Exposée en vue de ses Applications à la Physique Mathématique. Centre National de la Recherche Scientifique, Paris (French).

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External Links:

MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§10.63(ii).

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Sur une généralisation des polynomes de Legendre. C. R. Acad. Sci. Paris 228, pp. 1363–1365.

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External Links:

ISSN 0001-4036, MathReview (G. Szegö)

Referenced by:

§18.35(i).

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Systèmes de polynomes biorthogonaux qui généralisent les polynomes ultrasphériques. C. R. Acad. Sci. Paris 228, pp. 1998–2000.

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External Links:

ISSN 0001-4036, MathReview (G. Szegö)

Referenced by:

§18.35(i).

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Sur une famille de polynômes orthogonaux à quatre paramètres. C. R. Acad. Sci. Paris 230, pp. 2254–2256.

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External Links:

MathReview (A. Erdélyi)

Referenced by:

(18.30.17), (18.30.18), (18.35.6_5), (18.35.6_6), §18.35(i).

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4: 16 Generalized Hypergeometric Functions & Meijer G-Function

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5: Amparo Gil

… … ► 1969 in Villarrobledo, Spain) is Associate Professor in the Department of Applied Mathematics and Computer Science in the Universidad de Cantabria, Spain. …

6: 32.13 Reductions of Partial Differential Equations

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§32.13(i) Korteweg–de Vries and Modified Korteweg–de Vries Equations

►The modified Korteweg–de Vries (mKdV) equation … ►The Korteweg–de Vries (KdV) equation …

7: 29.19 Physical Applications

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§29.19(ii) Lamé Polynomials

►Ward (1987) computes finite-gap potentials associated with the periodic Korteweg–de Vries equation. …

8: Tom H. Koornwinder

… … ► 1943 in Rotterdam, The Netherlands) is Professor Emeritus in the Korteweg–de Vries Institute for Mathematics at the University of Amsterdam, The Netherlands. …

9: Bibliography D

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Sur une classe de nombres rationnels réductibles aux nombres de Bernoulli. Bull. Sci. Math. (2) 28, pp. 29–32 (French).

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External Links:

ZentralBlatt

Referenced by:

§24.1.

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Integralen voor de $\zeta$-functie van Riemann. Mathematica (Zutphen) B5, pp. 170–180 (Dutch).

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Notes:

In Dutch.

External Links:

ZentralBlatt

Referenced by:

(25.5.15), (25.5.16), (25.5.17), (25.5.18), (25.5.19), §25.5(ii).

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Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire $Mx+N$ . Ann. Soc. Sci. Bruxelles 20, pp. 281–397 (French).

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Notes:

Reprinted in Collected works/Oeuvres scientifiques, Vol. I, pp. 309–425, Académie Royale de Belgique, Brussels, 2000.

External Links:

MathReview, ZentralBlatt

Referenced by:

§25.10(i), §27.11, §27.2(i).

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Formes canoniques des équations confluentes de l’équation de Heun. Ann. Soc. Sci. Bruxelles Sér. I 92 (1-2), pp. 53–78.

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External Links:

MathReview (A. E. Danese), ZentralBlatt

Referenced by:

§31.12.

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Sur les zéros réels des polynômes de Bernoulli. Ann. Inst. Fourier (Grenoble) 41 (2), pp. 267–309 (French).

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External Links:

ISSN 0373-0956, MathReview (F. Beukers), ZentralBlatt

Referenced by:

§24.12(i).

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10: 2 Asymptotic Approximations

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