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Rocky Mountain Journal of Mathematics
VOL. 42 · NO. 4 | 2012
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 42, no. 4, (2012)
Rocky Mountain J. Math. 42 (4), (2012) Open Access
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Articles
Survey Article: Consequences of some outerplanarity extensions
L. Boza, E.M. Fedriani, J. Núñez
Rocky Mountain J. Math. 42 (4), 1073-1089, (2012) DOI: 10.1216/RMJ-2012-42-4-1073 Open Access
KEYWORDS: Graph embeddings, infinite graphs, tubular surfaces, Halin's theorem, increasing systems, 05C10, 05C83, 05C63
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On essential spectra of linear relations and quotient indecompos- able normed spaces
Teresa Álvarez
Rocky Mountain J. Math. 42 (4), 1091-1105, (2012) DOI: 10.1216/RMJ-2012-42-4-1091 Open Access
KEYWORDS: essential spectrum, quotient indecomposable normed space, 47A06
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Linear maps preserving generalized invertibility on commutative Banach algebras
Nadia Boudi, Hadder Youness
Rocky Mountain J. Math. 42 (4), 1107-1114, (2012) DOI: 10.1216/RMJ-2012-42-4-1107 Open Access
KEYWORDS: Commutative algebras, generalized inverses, multiplicative maps, linear preserver problems, socle, 47B48, 47A10, 46H05
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Gauss's three squares theorem involving almost-primes
Yingchun Cai
Rocky Mountain J. Math. 42 (4), 1115-1134, (2012) DOI: 10.1216/RMJ-2012-42-4-1115 Open Access
KEYWORDS: 11N36, 11P05
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A density condition for interpolation on the Heisenberg group
Bradley Currey, Azita Mayeli
Rocky Mountain J. Math. 42 (4), 1135-1151, (2012) DOI: 10.1216/RMJ-2012-42-4-1135 Open Access
KEYWORDS: Heisenberg group, Gabor frame, multiplicity free subspaces, sampling spaces, interpolation property, 42C15, 92A20, 43A80
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On some functional equations arising from $(m,n)$-Jordan deriva- tions and commutativity of prime rings
Maja Fošner, Joso Vukman
Rocky Mountain J. Math. 42 (4), 1153-1168, (2012) DOI: 10.1216/RMJ-2012-42-4-1153 Open Access
KEYWORDS: Prime ring, semiprime ring, derivation‎, Jordan derivation, Left derivation, left Jordan derivation, $(m,n)$-Jordan derivation, 16N60, 39B05
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Positive solutions of a system of coupled second order equations with three point boundary conditions
John R. Graef, Toufik Moussaoui
Rocky Mountain J. Math. 42 (4), 1169-1182, (2012) DOI: 10.1216/RMJ-2012-42-4-1169 Open Access
KEYWORDS: BVPs, positive solution, nonlocal conditions, GuoKrasnosel'skii's fixed point theorem, 34B10
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The number of spanning trees in some classes of graphs
M.H. Shirdareh Haghighi, Kh. Bibak
Rocky Mountain J. Math. 42 (4), 1183-1195, (2012) DOI: 10.1216/RMJ-2012-42-4-1183 Open Access
KEYWORDS: Spanning trees, Chebyshev polynomials, 05C05
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A note on characterizing completely multiplicative functions using generalized Möbius functions
P. Haukkanen, V. Sitaramaiah
Rocky Mountain J. Math. 42 (4), 1197-1206, (2012) DOI: 10.1216/RMJ-2012-42-4-1197 Open Access
KEYWORDS: Dirichlet convolution, multiplicative and completely multiplicative functions, distributivity, generalized Möbius function, Rearick's logarithmic operator, 11A25
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Parabolic subgroups of Coxeter groups acting by reflections on CAT(0) spaces
Tetsuya Hosaka
Rocky Mountain J. Math. 42 (4), 1207-1214, (2012) DOI: 10.1216/RMJ-2012-42-4-1207 Open Access
KEYWORDS: Reflection group, Coxeter group, parabolic subgroup of a Coxeter group, 20F65, 20F55, 57M07
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Non-autonomous parabolic problems with singular initial data in weighted spaces
Xiaojun Li
Rocky Mountain J. Math. 42 (4), 1215-1245, (2012) DOI: 10.1216/RMJ-2012-42-4-1215 Open Access
KEYWORDS: parabolic equation, non-autonomous equation, Singular initial data, existence, weighted spaces
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A correspondence between the isobaric ring and multiplicative arithmetic functions
Trueman Machenry, Kieh Wong
Rocky Mountain J. Math. 42 (4), 1247-1290, (2012) DOI: 10.1216/RMJ-2012-42-4-1247 Open Access
KEYWORDS: multiplicative arithmetic functions, symmetric polynomials, isobaric basis, linear recursions generalized Fibonacci sequences, O5EO5, 11B37, 11B39, 11N99
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On certain $q$-Phillips operators
Nazim Mahmudov, Vijay Gupta, Havva Kaffaoğlu
Rocky Mountain J. Math. 42 (4), 1291-1312, (2012) DOI: 10.1216/RMJ-2012-42-4-1291 Open Access
KEYWORDS: $q$-Phillips operators, $q$-integers, $q$-gamma functions, rate of convergence, $q$-integral, 41A25, 41A36
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Alternating subsets modulo $m$
Toufik Mansour, Augustine O. Munagi
Rocky Mountain J. Math. 42 (4), 1313-1325, (2012) DOI: 10.1216/RMJ-2012-42-4-1313 Open Access
KEYWORDS: Alternating subset, parity statistic, Fibonacci number, generating function, 05A05, 11B50, 05A15
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Geometry of canonical self-similar tilings
Erin P.J. Pearse, Steffen Winter
Rocky Mountain J. Math. 42 (4), 1327-1357, (2012) DOI: 10.1216/RMJ-2012-42-4-1327 Open Access
KEYWORDS: iterated function system, parallel set, Fractal, complex dimensions, zeta function, tube formula, Steiner formula, Renewal theorem, convex ring, inradius, Euler characteristic, Euler number, self-affine, Self-similar, tiling, curvature measure, generating function, fractal string, 28A80, 28A75, 52A20, 52C22, 52A38, 53C65, 51M25, 49Q15, 60K05, 54F45
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On the elliptic curves arising from 4-bar mechanisms
Zahid Raza, Shaheen Nazir
Rocky Mountain J. Math. 42 (4), 1359-1365, (2012) DOI: 10.1216/RMJ-2012-42-4-1359 Open Access
KEYWORDS: Elliptic curves, real points, 4-bar mechanisms, 14H52, 4P25, 70B15
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Global stability of two tuberculosis models with treatment and self-cure
Yali Yang, Jianquan Li, Yicang Zhou
Rocky Mountain J. Math. 42 (4), 1367-1386, (2012) DOI: 10.1216/RMJ-2012-42-4-1367 Open Access
KEYWORDS: tuberculosis, treatment, self-cure, Equilibrium, global stability
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Bifurcation and chaos in a pulsed plankton model with instantaneous nutrient recycling
Sanling Yuan, Yu Zhao, Anfeng Xiao, Tonghua Zhang
Rocky Mountain J. Math. 42 (4), 1387-1409, (2012) DOI: 10.1216/RMJ-2012-42-4-1387 Open Access
KEYWORDS: chemostat, plankton, pulsed, periodic solution, chaos, 34K45, 37G15, 92C45
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On minimal finite quotients of mapping class groups
Bruno P. Zimmermann
Rocky Mountain J. Math. 42 (4), 1411-1420, (2012) DOI: 10.1216/RMJ-2012-42-4-1411 Open Access
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