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Rocky Mountain Journal of Mathematics
VOL. 41 · NO. 1 | 2011
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 41, no. 1, (2011)
Rocky Mountain J. Math. 41 (1), (2011) Open Access
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Articles
Integrability of two dimensional quasi-homogeneous polynomial differential systems
A. Algaba, C. García, M. Reyes
Rocky Mountain J. Math. 41 (1), 1-22, (2011) DOI: 10.1216/RMJ-2011-41-1-1 Open Access
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On orthogonal chords in normed planes
Javier Alonso, Horst Martini, Zokhrab Mustafaev
Rocky Mountain J. Math. 41 (1), 23-35, (2011) DOI: 10.1216/RMJ-2011-41-1-23 Open Access
KEYWORDS: Birkhoff orthogonality, convex figure, constant width, isosceles orthogonality, maximal chord, normed plane, 46B20, 52A10, 52A21, 52A40
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Normal families and shared sets of meromorphic functions
Jun-Fan Chen
Rocky Mountain J. Math. 41 (1), 37-43, (2011) DOI: 10.1216/RMJ-2011-41-1-37 Open Access
KEYWORDS: meromorphic function, normal family, shared set, 30D45
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Finite rank products of Toeplitz operators on the harmonic Bergman space
Boo Rim Choe, Hyungwoon Koo, Kyunguk Na
Rocky Mountain J. Math. 41 (1), 45-78, (2011) DOI: 10.1216/RMJ-2011-41-1-45 Open Access
KEYWORDS: Finite rank product, Toeplitz operator, harmonic symbol, harmonic Bergman space, 47B35, ‎32A36‎
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On finite sums of Laguerre polynomials
Mark W. Coffey
Rocky Mountain J. Math. 41 (1), 79-93, (2011) DOI: 10.1216/RMJ-2011-41-1-79 Open Access
KEYWORDS: Laguerre polynomials, generalized hypergeometric function, 33C45, 33C15
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The Laguerre-Sobolev-type orthogonal polynomials. Holonomic equation and electrostatic interpretation
Herbert Dueñas, Francisco Marcellán
Rocky Mountain J. Math. 41 (1), 95-131, (2011) DOI: 10.1216/RMJ-2011-41-1-95 Open Access
KEYWORDS: orthogonal polynomials, Laguerre polynomials, Holonomic equation, Zeros, Logarithmic potential, 33C47
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Numerical measures for two-graphs
David M. Duncan, Thomas R. Hoffman, James P. Solazzo
Rocky Mountain J. Math. 41 (1), 133-154, (2011) DOI: 10.1216/RMJ-2011-41-1-133 Open Access
KEYWORDS: Two-graphs, Seidel adjacency matrix, vertex switching, 05C50, 05C90
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Projective operator spaces, almost periodicity and completely complemented ideals in the Fourier algebra
Brian Forrest
Rocky Mountain J. Math. 41 (1), 155-176, (2011) DOI: 10.1216/RMJ-2011-41-1-155 Open Access
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Asymptotic distance and its application
Jaroslav Hančl, Ladislav Miš´ik, János T. Tóth
Rocky Mountain J. Math. 41 (1), 177-188, (2011) DOI: 10.1216/RMJ-2011-41-1-177 Open Access
KEYWORDS: Asymptotic distance, infinite series, Liouville numbers, 11J82
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Filters in ordered $\Gamma$-semigroups
Kostaq Hila
Rocky Mountain J. Math. 41 (1), 189-203, (2011) DOI: 10.1216/RMJ-2011-41-1-189 Open Access
KEYWORDS: Γ-semigroup, ordered $\Gamma$-semigroup, po-ordered $\Gamma$-semigroup, Filters, semilattice congruence, 06F05
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Generalized cauchy problem for hyperbolic functional differential systems
Zdzisł aw Kamont
Rocky Mountain J. Math. 41 (1), 205-228, (2011) DOI: 10.1216/RMJ-2011-41-1-205 Open Access
KEYWORDS: functional differential systems, generalized Cauchy problem, bicharacteristics, weak solutions, 35R10, 35R45, 35F25
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Commutative group algebras whose quotient rings by nilradicals are generated by idempotents
Hideyasu Kawai, Nobuharu Onoda
Rocky Mountain J. Math. 41 (1), 229-238, (2011) DOI: 10.1216/RMJ-2011-41-1-229 Open Access
KEYWORDS: 20C07, 16S34
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An identity of the symmetry for the Frobenius-Euler polynomials associated with the Fermionic $p$-adic invariant $q$-integrals on ${\bf Z}_p$
Taekyun Kim
Rocky Mountain J. Math. 41 (1), 239-247, (2011) DOI: 10.1216/RMJ-2011-41-1-239 Open Access
KEYWORDS: fermionic $p$-adic $q$-integral, Frobenius-Euler number, 11B68, 11S80
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Sharp oscillation criteria for a class of fourth order nonlinear differential equations
T. Kusano, J. Manojlović, T. Tanigawa
Rocky Mountain J. Math. 41 (1), 249-274, (2011) DOI: 10.1216/RMJ-2011-41-1-249 Open Access
KEYWORDS: Fourth order nonlinear differential equation, positive solution, ‎oscillation‎, sub-half-linear, super-half-linear
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Value distribution of differences of meromorphic functions
J.K. Langley
Rocky Mountain J. Math. 41 (1), 275-291, (2011) DOI: 10.1216/RMJ-2011-41-1-275 Open Access
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A characterization of normed spaces among metric spaces
Peter Šemrl
Rocky Mountain J. Math. 41 (1), 293-298, (2011) DOI: 10.1216/RMJ-2011-41-1-293 Open Access
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Socle finiteness of the local cohomology
Jan Trlifaj, M. Tamer Koşan
Rocky Mountain J. Math. 41 (1), 299-309, (2011) DOI: 10.1216/RMJ-2011-41-1-299 Open Access
KEYWORDS: local cohomology, Gorenstein local ring, regular local ring, socle, 13D45, 13H05, 13H10, 14B15
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Maximal ranks and integer points on a family of elliptic curves II
P.G. Walsh
Rocky Mountain J. Math. 41 (1), 311-317, (2011) DOI: 10.1216/RMJ-2011-41-1-311 Open Access
KEYWORDS: Elliptic curve, prime number, 11G05
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Hardy type estimates for commutators of fractional integrals
Yueshan Wang, Yuexiang He
Rocky Mountain J. Math. 41 (1), 319-335, (2011) DOI: 10.1216/RMJ-2011-41-1-319 Open Access
KEYWORDS: fractional integral, commutator, Hardy space, local Hardy space, BMO, LMO, 42B20, 42B25
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Retracted
[Retraction] Duplicate inversions and Fox-Wright function identities
Chuanan Wei
Rocky Mountain J. Math. 41 (1), 337-354, (2011) DOI: 10.1216/RMJ-2011-41-1-337 Open Access
KEYWORDS: Duplicate inversions, Saalschütz's theorem, Fox-Wright function identities, 05A19, 33C20
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Articles
Randomly orthogonal factorizations of bipartite graphs
Sizhong Zhou, Jiancheng Wu
Rocky Mountain J. Math. 41 (1), 337-348, (2011) DOI: 10.1216/RMJ-2011-41-1-355 Open Access
KEYWORDS: Bipartite graph, subgraph, $(0,f)$-factor, orthogonal factorization, 05C70
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