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The luminosity distance in the standard cosmology as given by $\Lambda$CDM and consequently the distance modulus for supernovae can be defined by the Pad\'e approximant.
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Einstein, A.; de Sitter, W · 1932
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Milne, E.A · 1933
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Sur la détermination des polynômes d´approximation de degré donnée
Remez, E · 1934
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Remez, E · 1957
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A new look at the statistical model identification
Akaike, H · 1974
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Essentials of Padé approximants
Baker, G · 1975
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An analytic expression for the luminosity function for galaxies
Schechter, P · 1976
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Numerical Recipes in FORTRAN. The Art of Scientific Computing
Press, W.H.; Teukolsky, S.A.; Vetterling, W.T.; Flannery, B.P · 1992
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Peebles, P.J.E · 1993
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Look-Back Time the Age of the Universe and the Case for a Positive Cosmological Constant
Krisciunas, K · 1993
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Johnson, N.L.; Kotz, S.; Balakrishnan, N · 1994
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Padé approximants
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Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A.G.; Filippenko, A.V.; Challis, P.; Clocchiatti, A · 1998
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Distance measures in cosmology
Hogg, D.W · 1999
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Data Reduction and Error Analysis for the Physical Sciences
Bevington, P. R. and Robinson, D. K. · 2003
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The Galaxy Luminosity Function and Luminosity Density at Redshift z = 0.1
Blanton, M.R.; Hogg, D.W.; Bahcall, N.A.; Brinkmann, J.; Britton, M · 2003
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Introduction to Cosmology
Ryden, B · 2003
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How many cosmological parameters?
Liddle, A.R · 2004
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Redshift of photons penetrating a hot plasma
Brynjolfsson, A · 2004
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Constraints on Dark Energy Models from Supernovae
An Analytical Approximation of the Luminosity Distance in Flat Cosmologies with a Cosmological Constant
Adachi, M.; Kasai, M · 2012
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The Hubble Space Telescope Cluster Supernova Survey. V. Improving the Dark-energy Constraints above z greater than 1 and Building an Early-type-hosted Supernova Sample
Suzuki, N.; Rubin, D.; Lidman, C.; Aldering, G.; Amanullah, R.; Barbary, K.; Barrientos, L.F · 2012
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A right and left truncated gamma distribution with application to the stars
Zaninetti, L · 2013
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Astrophysical Formulae: Space, Time, Matter and Cosmology
Lang, K · 2013
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On the Luminosity Distance and the Hubble Constant
Heymann, Y · 2013
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Godlowski, W.; Szydowski, M · 2005
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Cosmology Under Milne’s Shadow
Chodorowski, M.J · 2005
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Recoil Between Photons and Electrons Leading to the Hubble Constant and CMB
Ashmore, L · 2006
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Magnitude-Redshift Relation for SNe Ia, Time Dilation, and Plasma Redshift
Brynjolfsson, A · 2006
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The zCOSMOS 10k-Bright Spectroscopic Sample
Lilly, S.J.; Le Brun, V.; Maier, C.; Mainieri, V · 2009
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NIST handbook of mathematical functions
Olver, F.W.J.e.; Lozier, D.W.e.; Boisvert, R.F.e.; Clark, C.W.e · 2010
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Aviles, A.; Bravetti, A.; Capozziello, S.; Luongo, O · 2014
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Cosmological applications of Pade approximant
Wei, H.; Yan, X.P.; Zhou, Y.N · 2014
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Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
Betoule, M.; Kessler, R.; Guy, J.; Mosher, J · 2014
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Nonparametric reconstruction of the cosmic expansion with local regression smoothing and simulation extrapolation
Montiel, A.; Lazkoz, R.; Sendra, I.; Escamilla-Rivera, C.; Salzano, V · 2014
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Null tests of the cosmological constant using supernovae
Yahya, S.; Seikel, M.; Clarkson, C.; Maartens, R.; Smith, M · 2014
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Inference on The Doubly Truncated Gamma Distribution For Lifetime Data
Okasha, M.K.; Alqanoo, I.M · 2014
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Distance-redshift relation in plane symmetric universes
Adamek, J.; Di Dio, E.; Durrer, R.; Kunz, M · 2014
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A Numerical Test of Pade Approximation for Some Functions with singularity
Yamada, H.S.; Ikeda, K.S · 2014
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On the Number of Galaxies at High Redshift
Zaninetti, L · 2015
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