Fuchs%E2%80%93Frobenius theory
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11—20 of 158 matching pages
11: Bibliography
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Algorithm 511: CDC 6600 subroutines IBESS and JBESS for Bessel functions and , ,
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ACM Trans. Math. Software 3 (1), pp. 93–95.
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Functional inequalities for hypergeometric functions and complete elliptic integrals.
SIAM J. Math. Anal. 23 (2), pp. 512–524.
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Summations and transformations for basic Appell series.
J. London Math. Soc. (2) 4, pp. 618–622.
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Number Theory.
In The New Encyclopaedia Britannica,
Vol. 25, pp. 14–37.
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Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters.
J. Math. Anal. Appl. 416 (1), pp. 52–80.
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12: Bibliography D
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Multiplicative Number Theory.
3rd edition, Graduate Texts in Mathematics, Vol. 74, Springer-Verlag, New York.
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Irreducibility of certain generalized Bernoulli polynomials belonging to quadratic residue class characters.
J. Number Theory 25 (1), pp. 72–80.
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Theta functions and non-linear equations.
Uspekhi Mat. Nauk 36 (2(218)), pp. 11–80 (Russian).
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Error analysis in a uniform asymptotic expansion for the generalised exponential integral.
J. Comput. Appl. Math. 80 (1), pp. 127–161.
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Uniform asymptotic expansions for Charlier polynomials.
J. Approx. Theory 112 (1), pp. 93–133.
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13: 32.2 Differential Equations
14: Bibliography K
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A proof of the -Macdonald-Morris conjecture for
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Mem. Amer. Math. Soc. 108 (516), pp. vi+80.
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Replica field theories, Painlevé transcendents, and exact correlation functions.
Phys. Rev. Lett. 89 (25), pp. (250201–1)–(250201–4).
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Linear convergence and the bisection algorithm.
Amer. Math. Monthly 93 (1), pp. 48–51.
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Neue Untersuchungen einer Reihe aus der Theorie der elliptischen Funktionen.
Journal für die Reine und Angenwandte Mathematik 158, pp. 209–218 (German).
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Zur Theorie der Modulformen -ten Grades. I.
Math. Z. 59, pp. 399–416 (German).
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15: Bibliography J
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Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent.
Phys. D 1 (1), pp. 80–158.
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Atomic Structure Theory: Lectures on Atomic Physics.
Springer, Berlin and Heidelberg.
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The Theory of Electromagnetism.
International Series of Monographs on Pure and Applied
Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York.
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Angular Momentum Theory for Diatomic Molecules.
Academic Press, New York.
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Modifications of Coulombic interactions by polarizable atoms.
Math. Proc. Cambridge Philos. Soc. 80 (3), pp. 535–539.
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16: Bibliography P
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Statistical Field Theory.
Addison-Wesley, Reading, MA.
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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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Gauge Field Theories.
Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.
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Catastrophe Theory and its Applications.
Pitman, London.
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Stacking models of vesicles and compact clusters.
J. Statist. Phys. 80 (3–4), pp. 755–779.
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17: 22.7 Landen Transformations
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18: Bibliography L
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The Classical Theory of Fields.
Pergamon Press, Oxford.
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Quantum Mechanics: Non-relativistic Theory.
Pergamon Press Ltd., Oxford.
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Elliptic Functions and Applications.
Applied Mathematical Sciences, Vol. 80, Springer-Verlag, New York.
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Essai sur la Théorie des Nombres.
2nd edition, Courcier, Paris.
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Zur Theorie der Gaußschen Summen.
Math. Ann. 57 (4), pp. 554–567 (German).
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19: 10.31 Power Series
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20: Bibliography T
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LSFBTR: A subroutine for calculating spherical Bessel transforms.
Comput. Phys. Comm. 30 (1), pp. 93–99.
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The Theory of Functions.
2nd edition, Oxford University Press, Oxford.
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On the theory of the Bernoulli polynomials and numbers.
J. Math. Anal. Appl. 104 (2), pp. 309–350.
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Combinatorial Group Theory, Riemann Surfaces and Differential Equations.
In Contributions to Group Theory,
Contemp. Math., Vol. 33, pp. 467–519.
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On a function which occurs in the theory of the structure of polymers.
Ann. of Math. (2) 46, pp. 144–157.
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