Bibliography E
-
J. Écalle (1981a)
Les fonctions résurgentes. Tome I.
Université de Paris-Sud Département de Mathématique, Orsay (French).
-
J. Écalle (1981b)
Les fonctions résurgentes. Tome II.
Université de Paris-Sud Département de Mathématique, Orsay (French).
-
C. Eckart (1930)
The penetration of a potential barrier by electrons.
Phys. Rev. 35 (11), pp. 1303–1309.
-
U. Eckhardt (1980)
Algorithm 549: Weierstrass’ elliptic functions.
ACM Trans. Math. Software 6 (1), pp. 112–120.
-
ECMNET Project (website)
-
A. R. Edmonds (1974)
Angular Momentum in Quantum Mechanics.
3rd printing, with corrections, 2nd edition, Princeton University Press, Princeton, NJ.
-
H. M. Edwards (1974)
Riemann’s Zeta Function.
Academic Press, New York-London.
-
J. Edwards (1954)
A Treatise on the Integral Calculus.
Vol. 1-2, Chelsea Publishing Co., New York.
-
M. Edwards, D. A. Griggs, P. L. Holman, C. W. Clark, S. L. Rolston, and W. D. Phillips (1999)
Properties of a Raman atom-laser output coupler.
J. Phys. B 32 (12), pp. 2935–2950.
-
G. P. Egorychev (1984)
Integral Representation and the Computation of Combinatorial Sums.
Translations of Mathematical Monographs, Vol. 59, American Mathematical Society, Providence, RI.
-
U. T. Ehrenmark (1995)
The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature.
J. Comput. Appl. Math. 61 (1), pp. 43–72.
-
M. Eichler and D. Zagier (1982)
On the zeros of the Weierstrass -function.
Math. Ann. 258 (4), pp. 399–407.
-
Á. Elbert (2001)
Some recent results on the zeros of Bessel functions and orthogonal polynomials.
J. Comput. Appl. Math. 133 (1-2), pp. 65–83.
-
Á. Elbert and A. Laforgia (1994)
Interlacing properties of the zeros of Bessel functions.
Atti Sem. Mat. Fis. Univ. Modena XLII (2), pp. 525–529.
-
Á. Elbert and A. Laforgia (1997)
An upper bound for the zeros of the derivative of Bessel functions.
Rend. Circ. Mat. Palermo (2) 46 (1), pp. 123–130.
-
Á. Elbert and A. Laforgia (2000)
Further results on McMahon’s asymptotic approximations.
J. Phys. A 33 (36), pp. 6333–6341.
-
Á. Elbert and A. Laforgia (2008)
The zeros of the complementary error function.
Numer. Algorithms 49 (1-4), pp. 153–157.
-
E. Elizalde (1986)
An asymptotic expansion for the first derivative of the generalized Riemann zeta function.
Math. Comp. 47 (175), pp. 347–350.
-
E. Elizalde (1995)
Ten Physical Applications of Spectral Zeta Functions.
Lecture Notes in Physics. New Series m: Monographs, Vol. 35, Springer-Verlag, Berlin.
-
D. Elliott (1971)
Uniform asymptotic expansions of the Jacobi polynomials and an associated function.
Math. Comp. 25 (114), pp. 309–315.
-
D. Elliott (1998)
The Euler-Maclaurin formula revisited.
J. Austral. Math. Soc. Ser. B 40 (E), pp. E27–E76 (electronic).
-
E. B. Elliott (1903)
A formula including Legendre’s .
Messenger of Math. 33, pp. 31–32.
-
W. J. Ellison (1971)
Waring’s problem.
Amer. Math. Monthly 78 (1), pp. 10–36.
-
S. P. EraŠevskaja, E. A. Ivanov, A. A. Pal’cev, and N. D. Sokolova (1973)
Tablicy sferoidal’nyh volnovyh funkcii i ih pervyh proizvodnyh. Tom I.
Izdat. “Nauka i Tehnika”, Minsk (Russian).
-
S. P. EraŠevskaja, E. A. Ivanov, A. A. Pal’cev, and N. D. Sokolova (1976)
Tablicy sferoidal’nyh volnovyh funkcii iih pervyh proizvodnyh. Tom II.
Izdat. “Nauka i Tehnika”, Minsk (Russian).
-
N. Ercolani and A. Sinha (1989)
Monopoles and Baker functions.
Comm. Math. Phys. 125 (3), pp. 385–416.
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi (1954a)
Tables of Integral Transforms. Vol. I.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi (1954b)
Tables of Integral Transforms. Vol. II.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
-
A. Erdélyi (1941a)
Generating functions of certain continuous orthogonal systems.
Proc. Roy. Soc. Edinburgh. Sect. A. 61, pp. 61–70.
-
A. Erdélyi (1941b)
On Lamé functions.
Philos. Mag. (7) 31, pp. 123–130.
-
A. Erdélyi (1941c)
On algebraic Lamé functions.
Philos. Mag. (7) 32, pp. 348–350.
-
A. Erdélyi (1942a)
Integral equations for Heun functions.
Quart. J. Math., Oxford Ser. 13, pp. 107–112.
-
A. Erdélyi (1942b)
The Fuchsian equation of second order with four singularities.
Duke Math. J. 9 (1), pp. 48–58.
-
A. Erdélyi (1944)
Certain expansions of solutions of the Heun equation.
Quart. J. Math., Oxford Ser. 15, pp. 62–69.
-
A. Erdélyi (1956)
Asymptotic Expansions.
Dover Publications Inc., New York.
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi (1953a)
Higher Transcendental Functions. Vol. I.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi (1953b)
Higher Transcendental Functions. Vol. II.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi (1955)
Higher Transcendental Functions. Vol. III.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
-
R. Ernvall (1979)
Generalized Bernoulli numbers, generalized irregular primes, and class number.
Ann. Univ. Turku. Ser. A I 178, pp. 1–72.
-
D. Erricolo and G. Carluccio (2013)
Algorithm 934: Fortran 90 subroutines to compute Mathieu functions for complex values of the parameter.
ACM Trans. Math. Softw. 40 (1), pp. 8:1–8:19.
-
D. Erricolo (2006)
Algorithm 861: Fortran 90 subroutines for computing the expansion coefficients of Mathieu functions using Blanch’s algorithm.
ACM Trans. Math. Software 32 (4), pp. 622–634.
-
F. H. L. Essler, H. Frahm, A. R. Its, and V. E. Korepin (1996)
Painlevé transcendent describes quantum correlation function of the antiferromagnet away from the free-fermion point.
J. Phys. A 29 (17), pp. 5619–5626.
-
T. Estermann (1959)
On the representations of a number as a sum of three squares.
Proc. London Math. Soc. (3) 9, pp. 575–594.
-
Euclid (1908)
The Thirteen Books of Euclid’s Elements.
Cambridge University Press, Cambridge.
-
L. Euler (1768)
Institutiones Calculi Integralis.
Opera Omnia (1), Vol. 11, pp. 110–113.
-
G. A. Evans and J. R. Webster (1999)
A comparison of some methods for the evaluation of highly oscillatory integrals.
J. Comput. Appl. Math. 112 (1-2), pp. 55–69.
-
W. D. Evans, W. N. Everitt, K. H. Kwon, and L. L. Littlejohn (1993)
Real orthogonalizing weights for Bessel polynomials.
J. Comput. Appl. Math. 49 (1-3), pp. 51–57.
-
W. N. Everitt and D. S. Jones (1977)
On an integral inequality.
Proc. Roy. Soc. London Ser. A 357, pp. 271–288.
-
J. A. Ewell (1990)
A new series representation for .
Amer. Math. Monthly 97 (3), pp. 219–220.
-
H. Exton (1983)
The asymptotic behaviour of the inhomogeneous Airy function .
Math. Chronicle 12, pp. 99–104.