Volume 41 Issue 1 | Rocky Mountain Journal of Mathematics

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)

No abstract available

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

No abstract available

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

KEYWORDS: Birkhoff orthogonality, convex figure, constant width, isosceles orthogonality, maximal chord, normed plane, 46B20, 52A10, 52A21, 52A40

No abstract available

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

KEYWORDS: meromorphic function, normal family, shared set, 30D45

No abstract available

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

KEYWORDS: Finite rank product, Toeplitz operator, harmonic symbol, harmonic Bergman space, 47B35, ‎32A36‎

No abstract available

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

KEYWORDS: Laguerre polynomials, generalized hypergeometric function, 33C45, 33C15

No abstract available

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

KEYWORDS: orthogonal polynomials, Laguerre polynomials, Holonomic equation, Zeros, Logarithmic potential, 33C47

No abstract available

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

KEYWORDS: Two-graphs, Seidel adjacency matrix, vertex switching, 05C50, 05C90

No abstract available

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

No abstract available

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

KEYWORDS: Asymptotic distance, infinite series, Liouville numbers, 11J82

No abstract available

Filters in ordered $\Gamma$-semigroups

Kostaq Hila

Rocky Mountain J. Math. 41 (1), 189-203, (2011) DOI: 10.1216/RMJ-2011-41-1-189

KEYWORDS: Γ-semigroup, ordered $\Gamma$-semigroup, po-ordered $\Gamma$-semigroup, Filters, semilattice congruence, 06F05

No abstract available

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

KEYWORDS: functional differential systems, generalized Cauchy problem, bicharacteristics, weak solutions, 35R10, 35R45, 35F25

No abstract available

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

KEYWORDS: 20C07, 16S34

No abstract available

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

KEYWORDS: fermionic $p$-adic $q$-integral, Frobenius-Euler number, 11B68, 11S80

No abstract available

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

KEYWORDS: Fourth order nonlinear differential equation, positive solution, ‎oscillation‎, sub-half-linear, super-half-linear

No abstract available

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

No abstract available

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

No abstract available

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

KEYWORDS: local cohomology, Gorenstein local ring, regular local ring, socle, 13D45, 13H05, 13H10, 14B15

No abstract available

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

KEYWORDS: Elliptic curve, prime number, 11G05

No abstract available

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

KEYWORDS: fractional integral, commutator, Hardy space, local Hardy space, BMO, LMO, 42B20, 42B25

No abstract available

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

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

KEYWORDS: Bipartite graph, subgraph, $(0,f)$-factor, orthogonal factorization, 05C70

No abstract available

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