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Rocky Mountain Journal of Mathematics
VOL. 40 · NO. 3 | 2010
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 40, no. 3, (2010)
Rocky Mountain J. Math. 40 (3), (2010) Open Access
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Articles
Rings Over which All Modules are Strongly Gorenstein Projective
Driss Bennis, Najib Mahdoua, Khalid Ouarghi
Rocky Mountain J. Math. 40 (3), 749-759, (2010) DOI: 10.1216/RMJ-2010-40-3-749 Open Access
KEYWORDS: (Strongly) Gorenstein projective, injective, and flat modules, quasi-Frobenius rings
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Generalized Fourier-Feynman Transforms, Convolution Products, and First Variations on Function Space
Seung Jun Chang, Jae Gil Choi, David Skoug
Rocky Mountain J. Math. 40 (3), 761-788, (2010) DOI: 10.1216/RMJ-2010-40-3-761 Open Access
KEYWORDS: Generalized Brownian motion process, generalized analytic Feynman integral, generalized analytic Fourier-Feynman transform, convolution product, first variation, 60J65, 28C20
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Fourier-Feynman Transforms, Convolutions and First Variations on the Space of Abstract Wiener Space Valued Continuous Functions
K.S. Chang, B.S. Kim, T.S. Song, I. Yoo
Rocky Mountain J. Math. 40 (3), 789-812, (2010) DOI: 10.1216/RMJ-2010-40-3-789 Open Access
KEYWORDS: Wiener space, ‎Feynman integral‎, Fourier-Feynman first variation, Banach algebra ${\cal S}_B''$ transform, convolution, 28C20
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Grade Stable Lie Algebras I
Seul Hee Choi, Ki-Bong Nam
Rocky Mountain J. Math. 40 (3), 813-824, (2010) DOI: 10.1216/RMJ-2010-40-3-813 Open Access
KEYWORDS: simple, Witt algebra, graded Lie algebra, order, grade stable, self-centralizing, auto-invariant, ad-diagonal, 17B40, 17B56
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The Reflexive and Anti-Reflexive Solutions of a Linear Matrix Equation and Systems of Matrix Equations
Mehdi Dehghan, Masoud Hajarian
Rocky Mountain J. Math. 40 (3), 825-848, (2010) DOI: 10.1216/RMJ-2010-40-3-825 Open Access
KEYWORDS: Reflexive matrix, anti-reflexive matrix, conditional inverse, reflexive inverse, generalized reflection matrix, Kronecker matrix product, matrix equations, 15A06, ‎15A24‎, 65F15, 65F20
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Approximation of the Jacobi Polynomials and the Racah Coefficients
U. Elias, H. Gingold
Rocky Mountain J. Math. 40 (3), 849-872, (2010) DOI: 10.1216/RMJ-2010-40-3-849 Open Access
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Existence of Nonstationary Periodic Solutions of $G$-Symmetric Asymptotically Linear Autonomous Newtonian Systems with Degeneracy
Justyna Fura, Anna Goł ȩbiewska, Haibo Ruan
Rocky Mountain J. Math. 40 (3), 873-911, (2010) DOI: 10.1216/RMJ-2010-40-3-873 Open Access
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Bounds for Strengthened Hardy and Polya-Knopp's Differences
Sabir Hussain, J. Pečarić
Rocky Mountain J. Math. 40 (3), 913-928, (2010) DOI: 10.1216/RMJ-2010-40-3-913 Open Access
KEYWORDS: Inequalities‎, weights‎, Hardy's inequality, Pólya-Knopp's inequality, Log-convexity, 26D15, 26D10
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Ranks of Cross Commutators on Backward Shift Invariant Subspaces over the Bidisk
Kei Ji Izuchi, Kou Hei Izuchi
Rocky Mountain J. Math. 40 (3), 929-942, (2010) DOI: 10.1216/RMJ-2010-40-3-929 Open Access
KEYWORDS: Backward shift invariant subspace, invariant subspace, Hardy space, cross commutator, 47A15, 32A35‎, 47B35
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Multiplicity of Solutions for Elliptic Systems with Topological Methods
Yinghua Jin, Q-Heung Choi, Kyeongpyo Choi
Rocky Mountain J. Math. 40 (3), 943-955, (2010) DOI: 10.1216/RMJ-2010-40-3-943 Open Access
KEYWORDS: elliptic system, critical point, linking theorem, 35B50, 35J65
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Convex Polynomial and Ridge Approximation of Lipschitz Functions in ${\bf R}^d$
V.N. Konovalov, K.A. Kopotun, V.E. Maiorov
Rocky Mountain J. Math. 40 (3), 957-976, (2010) DOI: 10.1216/RMJ-2010-40-3-957 Open Access
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An Algorithm to Compute the Kauffman Polynomial of 2-Bridge Knots
Bin Lu, Jianyuan K. Zhong
Rocky Mountain J. Math. 40 (3), 977-993, (2010) DOI: 10.1216/RMJ-2010-40-3-977 Open Access
KEYWORDS: Kauffman skein modules, relative skein modules, Kauffman polynomials, rational knots
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On the Diophantine Equation $x^4-q^4 = py^3$
Florian Luca, Alain Togbé
Rocky Mountain J. Math. 40 (3), 995-1008, (2010) DOI: 10.1216/RMJ-2010-40-3-995 Open Access
KEYWORDS: 54B20, 54F15
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Some Remarks on the Generalized Tanaka-Webster Connection of a Contact Metric Manifold
Beniamino Cappelletti Montano
Rocky Mountain J. Math. 40 (3), 1009-1037, (2010) DOI: 10.1216/RMJ-2010-40-3-1009 Open Access
KEYWORDS: Tanaka-Webster connection, Legendrian foliations, biLegendrian connection, contact metric structure, Sasakian manifold, 53B05, 53C12, 53C15
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Minimal Prime Ideals and Semistar Operations
Parviz Sahandi
Rocky Mountain J. Math. 40 (3), 1039-1049, (2010) DOI: 10.1216/RMJ-2010-40-3-1039 Open Access
KEYWORDS: star operation, semistar operation, minimal prime ideal, 13A15, 13G05
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Multiple Dirichlet Series Interpolating Bell Numbers and Stirling Numbers
Hirofumi Tsumura
Rocky Mountain J. Math. 40 (3), 1051-1060, (2010) DOI: 10.1216/RMJ-2010-40-3-1051 Open Access
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Convexity of the Integral Arithmetic Mean of a Convex Function
X.M. Zhang, Y.M. Chu
Rocky Mountain J. Math. 40 (3), 1061-1068, (2010) DOI: 10.1216/RMJ-2010-40-3-1061 Open Access
KEYWORDS: convex function, Schur-convex function, arithmetic mean, positive semi-definite matrix, 26D15
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