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Acta Mathematica, 1950, Volume 83
ISSN:
0001-5962 (Print)
1871-2509 (Online)
In this volume (9 articles)
Issue 1
[1] Karl F. Sundman in memoriam
G. Järnefelt
TBD mathscidoc:1701.33998
Acta Mathematica, 83, (1), i-vi, 1950.1
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[2] Johannes Hjelmslev in memoriam
Harald Bohr
TBD mathscidoc:1701.33999
Acta Mathematica, 83, (1), vii-ix, 1950.1
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[3] The p-adic generalisation of the Thue-Siegel theorem
C. J. Parry Winsford, Cheshire
TBD mathscidoc:1701.331000
Acta Mathematica, 83, (1), 1-100, 1950.1
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[4] Conformal invariants and function-theoretic null-sets
Lars Ahlfors Cambridge, Mass Arne Beurling Uppsala
TBD mathscidoc:1701.331001
Acta Mathematica, 83, (1), 101-129, 1950.1
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[5] Hypergeometric functions of two variables
A. Erdélyi Pasadenia, (California)
TBD mathscidoc:1701.331002
Acta Mathematica, 83, (1), 131-164, 1950.1
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1
Carlson B C. Lauricella\u0027s hypergeometric function FD[J]. Journal of Mathematical Analysis and Applications, 1963, 7(3): 452-470.
2
Carlson B C. Some Series and Bounds for Incomplete Elliptic Integrals[C]., 1961: 125-134.
3
Colavecchia F D, Gasaneo G. f1: a code to compute Appell\u0027s F1 hypergeometric function[J]. Computer Physics Communications, 2004, 157(1): 32-38.
4
Kumar R, Kant R. Admittance of diffusion limited adsorption coupled to reversible charge transfer on rough and finite fractal electrodes[J]. Electrochimica Acta, 2013: 275-287.
5
Alicia Dickenstein · Laura Felicia Matusevich · Ezra Miller. Binomial D-modules. 2006.
6
Alicia Dickenstein · Laura Felicia Matusevich · Timur Sadykov. Bivariate hypergeometric D-modules. 2003.
7
Miller E. Theory and Applications of Lattice Point Methods for Binomial Ideals[C]., 2010: 99-154.
8
Jurgen Schulze. Coulomb Gas on the Half Plane. 1996.
9
Erdelyi A. The analytic theory of systems of partial differential equations[J]. Bulletin of the American Mathematical Society, 1951, 57(5): 339-353.
10
Hasanov A, Turaev M, Choi J, et al. DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC 4 F 3 FUNCTION[C]., 2010, 32(1): 1-16.
Abstract
The systematic investigation of contour integrals satisfying the system of partial differential equations associated with Appell's hypergeometric function$F$_{1}leads to new solutions of that system. Fundamental sets of solutions are given for the vicinity of all singular points of the system of partial differential equations. The transformation theory of the solutions reveals connections between the system under consideration and other hypergeometric systems of partial differential equations. Presently it is discovered that any hypergeometric system of partial differential equations of the second order (with two independent variables) which has only three linearly independent solutions can be transformed into the system of$F$_{1}or into a particular or limiting case of this system. There are also other hypergeometric systems (with four linearly independent solutions) the integration of which can be reduced to the integration of the system of$F$_{1}.
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[6] Primfunktionen und multiplikative automorphe funktionen auf nichtgeschlossenen Riemannschen Flächen und Zylindergebieten
Karl Stein Münster
TBD mathscidoc:1701.331003
Acta Mathematica, 83, (1), 165-196, 1950.1
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[7] Normalisable transformations in Hilbert space and systems of linear integral equations
A. C. Zaanen Bandoeng (Java)
TBD mathscidoc:1701.331004
Acta Mathematica, 83, (1), 197-248, 1950.1
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1
M Laura Arias · Gustavo Corach · M Celeste Gonzalez. Partial isometries in semi-Hilbertian spaces. 2008.
2
Hassi S, Sebestyen Z, De Snoo H, et al. On the nonnegativity of operator products[J]. Acta Mathematica Hungarica, 2005: 1-15.
3
Grimmer M. Selbstverifizierende mathematische Softwarewerkzeuge im High Performance Computing[C]., 2007.
4
L Tzafriri. The connection between normalizable and spectral operators. 1965.
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[8] Über Folgen und Scharen von analytischen und meromorphen Funktionen mehrerer Variabeln, sowie von analytischen Abbildungen
H. Rutishauser Zürich
TBD mathscidoc:1701.331005
Acta Mathematica, 83, (1), 249-325, 1950.1
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[9] Zur klassenzahl in reinen Zahlkörpern von ungeraden Primzahlgrade
L. Holzer Graz
TBD mathscidoc:1701.331006
Acta Mathematica, 83, (1), 327-348, 1950.1
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Impact Factor
3.719
Available
1882 - 2016
Volumes
228
Issues
301
Articles
2167