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[1] István Mező.
Duplication formulae involving Jacobi theta functions and Gosper's $q$-trigonometric functions.
Proc. Amer. Math. Soc.
141
(2013)
2401-2410.
Abstract, references, and article information
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[2] A. B. Bogatyrëv.
Rational functions admitting double decompositions.
Trans. Moscow Math. Soc.
73
(2012)
161-165.
Abstract, references, and article information
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[3] V. I. Fabrikant.
Exact evaluation of the integral involved in Doi-Edwards constitutive equations.
Quart. Appl. Math.
70
(2012)
787-792.
Abstract, references, and article information
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[4] Nayandeep Deka Baruah and Narayan Nayak.
New hypergeometric-like series for $1/\pi^{2}$ arising from Ramanujan’s theory of elliptic functions to alternative base 3.
Trans. Amer. Math. Soc.
363
(2011)
887-900.
MR 2728588.
Abstract, references, and article information
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[5] G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen.
Topics in special functions. II.
Conform. Geom. Dyn.
11
(2007)
250-270.
MR 2354098.
Abstract, references, and article information
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[6] Heng Huat Chan, Shaun Cooper and Wen-Chin Liaw.
The Rogers-Ramanujan continued fraction and a quintic iteration for $1/\pi$.
Proc. Amer. Math. Soc.
135
(2007)
3417-3424.
MR 2336553.
Abstract, references, and article information
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[7] A. N. W. Hone.
Sigma function solution of the initial value problem for Somos 5 sequences.
Trans. Amer. Math. Soc.
359
(2007)
5019-5034.
MR 2320658.
Abstract, references, and article information
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[8] B. C. Carlson.
Table of integrals of squared Jacobian elliptic functions and reductions of related hypergeometric $R$-functions.
Math. Comp.
75
(2006)
1309-1318.
MR 2219030.
Abstract, references, and article information
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[9] Fritz Gesztesy, Karl Unterkofler and Rudi Weikard.
An explicit characterization of Calogero--Moser systems.
Trans. Amer. Math. Soc.
358
(2006)
603-656.
MR 2177033.
Abstract, references, and article information
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[10] Bruce C. Berndt and Paul R. Bialek.
On the power series coefficients of certain quotients of Eisenstein series.
Trans. Amer. Math. Soc.
357
(2005)
4379-4412.
MR 2156715.
Abstract, references, and article information
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[11] Zhi-Guo Liu.
A theta function identity and its implications.
Trans. Amer. Math. Soc.
357
(2005)
825-835.
MR 2095632.
Abstract, references, and article information
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[12] S. Ole Warnaar.
Summation formulae for elliptic hypergeometric series.
Proc. Amer. Math. Soc.
133
(2005)
519-527.
MR 2093076.
Abstract, references, and article information
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[13] Shinji Fukuhara and Noriko Yui.
Elliptic Apostol sums and their reciprocity laws.
Trans. Amer. Math. Soc.
356
(2004)
4237-4254.
MR 2058844.
Abstract, references, and article information
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[14] Li-Chien Shen.
On a class of elliptic functions associated with imaginary quadratic fields.
Proc. Amer. Math. Soc.
132
(2004)
463-471.
MR 2022370.
Abstract, references, and article information
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[15] Heng Huat Chan, Kok Seng Chua and Patrick Solé.
Quadratic iterations to ${\pi}$ associated with elliptic functions to the cubic and septic base.
Trans. Amer. Math. Soc.
355
(2003)
1505-1520.
MR 1946402.
Abstract, references, and article information
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[16] Youn-Seo Choi.
Tenth order mock theta functions in Ramanujan's lost notebook (IV).
Trans. Amer. Math. Soc.
354
(2002)
705-733.
MR 1862564.
Abstract, references, and article information
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[17] Norman Gray.
Automatic reduction of elliptic integrals using Carlson's relations.
Math. Comp.
71
(2002)
311-318.
MR 1863002.
Abstract, references, and article information
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[18] Heng Huat Chan and Yao Lin Ong.
On Eisenstein series and $\sum_{m,n=-\infty}^{\infty} q^{m^2+mn+2n^2}$.
Proc. Amer. Math. Soc.
127
(1999)
1735-1744.
MR 1600120.
Abstract, references, and article information
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[19] F. Gesztesy and W. Sticka.
On a theorem of Picard.
Proc. Amer. Math. Soc.
126
(1998)
1089-1099.
MR 1476130.
Abstract, references, and article information
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[20] Hershel M. Farkas and Yaacov Kopeliovich.
New theta constant identities. II
.
Proc. Amer. Math. Soc.
123
(1995)
1009-1020.
MR 1254837.
Abstract, references, and article information
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[21] Faruk F. Abi-Khuzam.
Jacobian elliptic functions and minimal surfaces
.
Proc. Amer. Math. Soc.
123
(1995)
3837-3849.
MR 1301004.
Abstract, references, and article information
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[22] G. D. Anderson, R. W. Barnard, K. C. Richards, M. K. Vamanamurthy and M. Vuorinen.
Inequalities for zero-balanced hypergeometric
functions
.
Trans. Amer. Math. Soc.
347
(1995)
1713-1723.
MR 1264800.
Abstract, references, and article information
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[23] Bruce C. Berndt, S. Bhargava and Frank G. Garvan.
Ramanujan's theories of elliptic functions to
alternative bases
.
Trans. Amer. Math. Soc.
347
(1995)
4163-4244.
MR 1311903.
Abstract, references, and article information
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[24] Li-Chien Shen.
On the modular equations of degree $3$
.
Proc. Amer. Math. Soc.
122
(1994)
1101-1114.
MR 1212287.
Abstract, references, and article information
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[25] B. C. Carlson.
A table of elliptic integrals: two quadratic
factors
.
Math. Comp.
59
(1992)
165-180.
MR 1134720.
Abstract, references, and article information
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[26] B. C. Carlson.
A table of elliptic integrals: one quadratic
factor
.
Math. Comp.
56
(1991)
267-280.
MR 1052087.
Abstract, references, and article information
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[27] E. T. Bell.
Polynomial approximations for elliptic functions
.
Trans. Amer. Math. Soc.
44
(1938)
47-57.
MR 1501961.
Abstract, references, and article information
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[28] E. T. Bell.
On the power series for elliptic functions
.
Trans. Amer. Math. Soc.
36
(1934)
841-852.
MR 1501770.
Abstract, references, and article information
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[29] Wilhelm Maier.
Errata: ``Elementary properties of the $t\sb \nu$
functions'' [Trans.\ Amer.\ Math.\ Soc. {\bf 32} (1930), no.
4, 905--911; 1501570]
.
Trans. Amer. Math. Soc.
33
(1931)
998.
MR 1500510.
Abstract, references, and article information
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[30] Claiborne G. Latimer.
On certain identities in theta functions
.
Trans. Amer. Math. Soc.
32
(1930)
832-846.
MR 1501564.
Abstract, references, and article information
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