elliptic modular function
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11—20 of 27 matching pages
11: William P. Reinhardt
12: 23.21 Physical Applications
13: 23.20 Mathematical Applications
14: Bibliography R
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Elliptic and modular functions from Gauss to Dedekind to Hecke.
Cambridge University Press, Cambridge.
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15: Software Index
16: 23.2 Definitions and Periodic Properties
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§23.2(i) Lattices
… ► … ►§23.2(ii) Weierstrass Elliptic Functions
… ► ►§23.2(iii) Periodicity
…17: 23.22 Methods of Computation
§23.22 Methods of Computation
►§23.22(i) Function Values
… ►The modular functions , , and are also obtainable in a similar manner from their definitions in §23.15(ii). ►§23.22(ii) Lattice Calculations
…18: Bibliography K
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Auxiliary table for the incomplete elliptic integrals.
J. Math. Physics 27, pp. 11–36.
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Cyclic identities for Jacobi elliptic and related functions.
J. Math. Phys. 44 (4), pp. 1822–1841.
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Cyclic identities involving Jacobi elliptic functions.
J. Math. Phys. 43 (7), pp. 3798–3806.
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Connecting Jacobi elliptic functions with different modulus parameters.
Pramana 63 (5), pp. 921–936.
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Introduction to Elliptic Curves and Modular Forms.
2nd edition, Graduate Texts in Mathematics, Vol. 97, Springer-Verlag, New York.
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19: Bibliography
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Elements of the Theory of Elliptic Functions.
Translations of Mathematical Monographs, Vol. 79, American Mathematical Society, Providence, RI.
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Generalized elliptic integrals and modular equations.
Pacific J. Math. 192 (1), pp. 1–37.
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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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Hypergeometric Functions and Elliptic Integrals.
In Current Topics in Analytic Function Theory, H. M. Srivastava and S. Owa (Eds.),
pp. 48–85.
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Modular Functions and Dirichlet Series in Number Theory.
2nd edition, Graduate Texts in Mathematics, Vol. 41, Springer-Verlag, New York.
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20: Bibliography V
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On the series expansion method for computing incomplete elliptic integrals of the first and second kinds.
Math. Comp. 23 (105), pp. 61–69.
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Calculation of Special Functions: The Gamma Function, the Exponential Integrals and Error-Like Functions.
CWI Tract, Vol. 10, Stichting Mathematisch Centrum, Centrum voor Wiskunde en
Informatica, Amsterdam.
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Modular hypergeometric residue sums of elliptic Selberg integrals.
Lett. Math. Phys. 58 (3), pp. 223–238.
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On the coefficients of the modular invariant
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Nederl. Akad. Wetensch. Proc. Ser. A. 56 = Indagationes
Math. 15 56, pp. 389–400.
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An infinite series of Weber’s parabolic cylinder functions.
Proc. Benares Math. Soc. (N.S.) 3, pp. 37.
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