Boukraa, S.; Cosgrove, C.; Maillard, J.-M.; McCoy, B. M. Factorization of Ising correlations \(C(M, N)\) for \(\nu = - k\) and \(M + N\) odd, \(M \leqslant N\), \(T < T_{\mathrm{c}}\) and their lambda extensions. (English) Zbl 07649149 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405204, 51 p. (2022). MSC: 33-XX 34-XX PDF BibTeX XML Cite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 55, No. 40, Article ID 405204, 51 p. (2022; Zbl 07649149) Full Text: DOI arXiv
Moll, Victor H. The arithmetic-Harmonic mean and Landen transformations. (English) Zbl 1434.26073 Sci., Ser. A, Math. Sci. (N.S.) 29, 1-5 (2019). MSC: 26E60 PDF BibTeX XML Cite \textit{V. H. Moll}, Sci., Ser. A, Math. Sci. (N.S.) 29, 1--5 (2019; Zbl 1434.26073) Full Text: Link
Qiu, Song-Liang; Ma, Xiao-Yan; Chu, Yu-Ming Sharp Landen transformation inequalities for hypergeometric functions, with applications. (English) Zbl 1414.33006 J. Math. Anal. Appl. 474, No. 2, 1306-1337 (2019). Reviewer: Pierluigi Vellucci (Roma) MSC: 33C05 PDF BibTeX XML Cite \textit{S.-L. Qiu} et al., J. Math. Anal. Appl. 474, No. 2, 1306--1337 (2019; Zbl 1414.33006) Full Text: DOI
Gasull, Armengol; Llorens, Mireia; Mañosa, Víctor Periodic points of a Landen transformation. (English) Zbl 07265271 Commun. Nonlinear Sci. Numer. Simul. 64, 232-245 (2018). MSC: 37C25 33E05 PDF BibTeX XML Cite \textit{A. Gasull} et al., Commun. Nonlinear Sci. Numer. Simul. 64, 232--245 (2018; Zbl 07265271) Full Text: DOI arXiv Link
Glasser, M. Lawrence; Zhou, Yajun A functional identity involving elliptic integrals. (English) Zbl 1401.33015 Ramanujan J. 47, No. 2, 243-251 (2018). MSC: 33E05 78A35 PDF BibTeX XML Cite \textit{M. L. Glasser} and \textit{Y. Zhou}, Ramanujan J. 47, No. 2, 243--251 (2018; Zbl 1401.33015) Full Text: DOI arXiv
Neuman, Edward Inequalities and bounds for a certain bivariate elliptic mean. II. (English) Zbl 1384.26065 Math. Inequal. Appl. 21, No. 2, 345-352 (2018). MSC: 26E60 26D05 33C05 PDF BibTeX XML Cite \textit{E. Neuman}, Math. Inequal. Appl. 21, No. 2, 345--352 (2018; Zbl 1384.26065) Full Text: DOI
Rohedi, A. Y.; Yahya, E.; Pramono, Y. H.; Widodo, B. The novelty of infinite series for the complete elliptic integral of the first kind. (English) Zbl 1382.33020 J. Korean Soc. Ind. Appl. Math. 21, No. 3, 167-180 (2017). MSC: 33E05 PDF BibTeX XML Cite \textit{A. Y. Rohedi} et al., J. Korean Soc. Ind. Appl. Math. 21, No. 3, 167--180 (2017; Zbl 1382.33020)
Manna, Dante V.; Medina, Luis A.; Moll, Victor H.; Straub, Armin A fast numerical algorithm for the integration of rational functions. (English) Zbl 1190.65041 Numer. Math. 115, No. 2, 289-307 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A20 41A55 33F05 33E20 PDF BibTeX XML Cite \textit{D. V. Manna} et al., Numer. Math. 115, No. 2, 289--307 (2010; Zbl 1190.65041) Full Text: DOI Link
Braess, Dietrich; Hackbusch, Wolfgang On the efficient computation of high-dimensional integrals and the approximation by exponential sums. (English) Zbl 1190.65036 DeVore, Ronald (ed.) et al., Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-03412-1/hbk; 978-3-642-03413-8/ebook). 39-74 (2009). MSC: 65D32 41A55 11L07 PDF BibTeX XML Cite \textit{D. Braess} and \textit{W. Hackbusch}, in: Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer. 39--74 (2009; Zbl 1190.65036) Full Text: DOI
Manna, Dante; Moll, Victor H. An iterative method for numerical integration of rational functions. (English) Zbl 1185.33030 Dominici, Diego (ed.) et al., Special functions and orthogonal polynomials. AMS special session, Tucson, AZ, USA, April 21–22, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4650-6/pbk). Contemporary Mathematics 471, 161-174 (2008). MSC: 33F05 65D30 33E05 PDF BibTeX XML Cite \textit{D. Manna} and \textit{V. H. Moll}, Contemp. Math. 471, 161--174 (2008; Zbl 1185.33030) Full Text: arXiv
Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Zenine, Nadjah From holonomy of the Ising model form factors to \(n\)-fold integrals and the theory of elliptic curves. (English) Zbl 1137.34040 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 099, 43 p. (2007). MSC: 34M55 47E05 32G34 34Lxx 34Kxx 14H52 81T27 33E20 82B20 PDF BibTeX XML Cite \textit{S. Boukraa} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 099, 43 p. (2007; Zbl 1137.34040) Full Text: DOI arXiv EuDML EMIS
Manna, Dante; Moll, Victor H. Rational Landen transformations on \(\mathbb{R}\). (English) Zbl 1120.33022 Math. Comput. 76, No. 260, 2023-2043 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33F05 26C15 PDF BibTeX XML Cite \textit{D. Manna} and \textit{V. H. Moll}, Math. Comput. 76, No. 260, 2023--2043 (2007; Zbl 1120.33022) Full Text: DOI arXiv
Chamberland, Marc; Moll, Victor H. Dynamics of the degree six Landen transformation. (English) Zbl 1129.33009 Discrete Contin. Dyn. Syst. 15, No. 3, 905-919 (2006). Reviewer: Matti Vuorinen (Turku) MSC: 33E05 37F15 PDF BibTeX XML Cite \textit{M. Chamberland} and \textit{V. H. Moll}, Discrete Contin. Dyn. Syst. 15, No. 3, 905--919 (2006; Zbl 1129.33009) Full Text: DOI
Boros, George; Joyce, Michael; Moll, Victor H. A transformation of rational functions. (English) Zbl 1061.33018 Elem. Math. 58, No. 2, 73-83 (2003). Reviewer: Matti Vuorinen (Turku) MSC: 33E05 33C75 PDF BibTeX XML Cite \textit{G. Boros} et al., Elem. Math. 58, No. 2, 73--83 (2003; Zbl 1061.33018) Full Text: DOI
Hubbard, John; Moll, Victor A geometric view of rational Landen transformations. (English) Zbl 1029.33012 Bull. Lond. Math. Soc. 35, No. 3, 293-301 (2003). Reviewer: N.Hayek (La Laguna) MSC: 33E20 14K20 PDF BibTeX XML Cite \textit{J. Hubbard} and \textit{V. Moll}, Bull. Lond. Math. Soc. 35, No. 3, 293--301 (2003; Zbl 1029.33012) Full Text: DOI arXiv
Chikhanov, Ch. A. The Landen transformation of generalized elliptic Jacobi functions and Appell series. (Russian. English summary) Zbl 1074.33016 Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2003, 2nd Spec. Iss., 49-57 (2002). Reviewer: Juri M. Rappoport (Moskva) MSC: 33E05 PDF BibTeX XML Cite \textit{Ch. A. Chikhanov}, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2003, 49--57 (2002; Zbl 1074.33016)
Boros, George; Moll, Victor H. Landen transformations and the integration of rational functions. (English) Zbl 0988.33009 Math. Comput. 71, No. 238, 649-668 (2002). Reviewer: J.M.Rappoport MSC: 33E05 PDF BibTeX XML Cite \textit{G. Boros} and \textit{V. H. Moll}, Math. Comput. 71, No. 238, 649--668 (2002; Zbl 0988.33009) Full Text: DOI arXiv
Ochs, Karlheinz; Vollmer, Michael An extension of Darlington’s algorithm for the design of elliptic filters. (English) Zbl 0995.93050 IEEE Trans. Signal Process. 48, No. 9, 2709-2712 (2000). MSC: 93C62 93B17 93B40 PDF BibTeX XML Cite \textit{K. Ochs} and \textit{M. Vollmer}, IEEE Trans. Signal Process. 48, No. 9, 2709--2712 (2000; Zbl 0995.93050) Full Text: DOI Link
Boros, George; Moll, Victor H. A rational Landen transformation. The case of degree six. (English) Zbl 0968.33010 Grinberg, E. L. (ed.) et al., Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 251, 83-91 (2000). Reviewer: József Sándor (Cluj-Napoca) MSC: 33E20 40A05 PDF BibTeX XML Cite \textit{G. Boros} and \textit{V. H. Moll}, Contemp. Math. 251, 83--91 (2000; Zbl 0968.33010)
Vuorinen, M. Singular values, Ramanujan modular equations, and Landen transformations. (English) Zbl 0872.30010 Stud. Math. 121, No. 3, 221-230 (1996). Reviewer: B.Dittmar (Halle) MSC: 30C62 33C75 PDF BibTeX XML Cite \textit{M. Vuorinen}, Stud. Math. 121, No. 3, 221--230 (1996; Zbl 0872.30010) Full Text: DOI EuDML
Buchstaber, V. M.; Veselov, A. P. On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera. (English) Zbl 0870.39009 Math. Z. 223, No. 4, 595-607 (1996). Reviewer: V.M.Buchstaber MSC: 39B22 58J26 33E05 PDF BibTeX XML Cite \textit{V. M. Buchstaber} and \textit{A. P. Veselov}, Math. Z. 223, No. 4, 595--607 (1996; Zbl 0870.39009) Full Text: DOI EuDML
Carlson, B. C. A table of elliptic integrals: Two quadratic factors. (English) Zbl 0751.33005 Math. Comput. 59, No. 199, 165-180 (1992). Reviewer: H.Exton (Dunrossness) MSC: 33E05 33C75 PDF BibTeX XML Cite \textit{B. C. Carlson}, Math. Comput. 59, No. 199, 165--180 (1992; Zbl 0751.33005) Full Text: DOI
Carlson, B. C. Landen transformations of integrals. (English) Zbl 0694.65004 Asymptotic and computational analysis. Conference in honor of Frank W.J. Olver’s 65th birthday, Proc. Int. Symp., Winnipeg/Can. 1989, Lect. Notes Pure Appl. Math. 124, 75-94 (1990). Reviewer: M.Gaspar MSC: 65D20 33E05 PDF BibTeX XML
Todd, John The Weierstrass mean. I: The periods of \(\wp (z| e_ 1,e_ 2,e_ 3)\). (English) Zbl 0689.65005 Numer. Math. 57, No. 8, 737-746 (1990). Reviewer: J.Todd MSC: 65D20 65B10 33D10 40A25 PDF BibTeX XML Cite \textit{J. Todd}, Numer. Math. 57, No. 8, 737--746 (1990; Zbl 0689.65005) Full Text: DOI EuDML
Almkvist, Gert; Berndt, Bruce C. Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, \(\pi\) , and the Ladies Diary. (English) Zbl 0665.26007 Am. Math. Mon. 95, No. 7, 585-608 (1988). Reviewer: J.Aczél MSC: 26D15 40A25 33E05 33B10 01A50 01A55 PDF BibTeX XML Cite \textit{G. Almkvist} and \textit{B. C. Berndt}, Am. Math. Mon. 95, No. 7, 585--608 (1988; Zbl 0665.26007) Full Text: DOI Link
Gerstl, Michael Die Gauß-Krügersche Abbildung des Erdellipsoides mit direkter Berechnung der elliptischen Integrale durch Landentransformation. (German) Zbl 0542.65007 Deutsche Geodät. Kommission Bayer. Akad. Wiss., Reihe C 296, 57 S. (1984). MSC: 65D20 86A30 33E05 PDF BibTeX XML
Kahlig, Peter Elliptische Integrale für TI-58/59. Mathematische Routinen der Physik, Chemie und Technik. Teil III. (German) Zbl 0526.65016 Anwendung programmierbarer Taschenrechner, Band 16. Braunschweig - Wiesbaden: Friedr. Vieweg & Sohn. VIII, 142 S. DM 42.00 (1983). MSC: 65D20 33-04 33E05 PDF BibTeX XML
Chia, T. T. On a simple unified method of deriving recurrence relations among elliptic integrals. (English) Zbl 0492.33002 Int. J. Math. Educ. Sci. Technol. 13, 341-345 (1982). MSC: 33E05 PDF BibTeX XML Cite \textit{T. T. Chia}, Int. J. Math. Educ. Sci. Technol. 13, 341--345 (1982; Zbl 0492.33002) Full Text: DOI
Rusinko, K. N.; Gazda, M. I. Creep caused by torsion. (Russian) Zbl 0483.73031 Vestn. L’vov. Politekh. Inst. 141, 77-78 (1980). MSC: 74C99 74A60 74M25 44A15 PDF BibTeX XML
Almkvist, Gert The arithmetic-geometric mean and the arc length of the ellipse. (Swedish) Zbl 0417.65014 Nordisk Mat. Tidskr. 25-26, 121-130 (1978). MSC: 65D32 33E05 PDF BibTeX XML Cite \textit{G. Almkvist}, Nordisk Mat. Tidskr. 25--26, 121--130 (1978; Zbl 0417.65014)
Kolácek, F. Remark on Landen’s substitution. (Bemerkung zur Landen’schen Substitution.) (Czech) JFM 21.0495.03 Casop. XVIII, 21 (1889). Reviewer: Studnička, Prof. (Prag) MSC: 33E05 31A15 PDF BibTeX XML Cite \textit{F. Kolácek}, Čas. Mat. Fys. 18, 21 (1889; JFM 21.0495.03)
Catalan, E. On the addition of the elliptic functions of the first kind. (Sur l’addition des fonctions elliptiques de première espèce.) (French) JFM 16.0408.02 Belg. Mém. \(4^\circ\). XLV. 1-20 (1884). Reviewer: Mansion, Prof. (Gent) (Lampe, Prof. (Berlin)) MSC: 33E05 PDF BibTeX XML Full Text: EuDML
Peters, Paul Representations of elliptic functions by surfaces. (Darstellung elliptischer Functionen durch Flächen.) (German) JFM 15.0403.01 Pr. Königsberg i. Pr (1883). Reviewer: Müller, F., Dr. (Berlin) MSC: 33E05 PDF BibTeX XML
Griffiths, J. On a method for reducing the differential expression \(dt \div\sqrt{t-\alpha\cdot t-\beta\cdot t-\gamma\cdot t -\delta}\) to the standard form. (English) JFM 15.0375.01 Lond. M. S. XIV, 196-198 (1883). Reviewer: Müller, F., Dr. (Berlin) MSC: 33E05 PDF BibTeX XML Cite \textit{J. Griffiths}, Proc. Lond. Math. Soc. 14, 196--198 (1883; JFM 15.0375.01)
Griffiths, J. Elementary analytical proof of Grave’s and MacCullagh’s theorems, with an extension of the former. (English) JFM 14.0384.03 Lond., M. S., Proc. XIII, 177-179 (1882). Reviewer: Müller, F., Dr. (Berlin) MSC: 33E05 26B15 PDF BibTeX XML Cite \textit{J. Griffiths}, Proc. Lond. Math. Soc. 13, 177--179 (1882; JFM 14.0384.03)
Richelot, F. J. Landen’s transformation and its application to the expansion of elliptic functions. (Die Landen’sche Transformation in ihrer Anwendung auf die Entwickelung der elliptischen Funktionen.) (German) JFM 02.0234.02 Königsberg 1868*) (1868). Reviewer: Müller, Felix, Dr. (Berlin) MSC: 33E05 PDF BibTeX XML Full Text: EuDML