Applicable Analysis and Discrete Mathematics Vol. 3, No 2 (October, 2009)

Electronic version posted on August 26, 2009.

Printed version appeared on August 31, 2009.

Caroline Sweezy: AN EXTENSION OF A NORM INEQUALITY FOR A SEMI-DISCRETE gλ* FUNCTION

2000 Mathematical Subject Classification: 42B25, 35J25
Key words and phrases: minimal smoothness, semi-discrete Littlewood-Paley type inequalities, good-λ inequalities, strictly elliptic operators, non-smooth bounded domains.

doi:10.2298/AADM0902177S

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ROMI F. SHAMOYAN, OLIVERA R. MIHIĆ: ON TRACES OF HOLOMORPHIC FUNCTIONS ON THE UNIT POLYBALL

2000 Mathematical Subject Classification: 32A18
Key words and phrases: holomorphic functions, trace problem, Bergman, Bloch classes on polyballs, Bergman type projection.

doi:10.2298/AADM0902198S

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Brian Fisher: ON THE COMPOSITION OF THE DISTRIBUTIONS $x_+^{-s}lm^mx_+$ and $x_+^mu$

2000 Mathematical Subject Classification: 46F10
Key words and phrases: Distribution, delta-function, composition of distributions, neutrix, neutrix limit.

doi:10.2298/AADM0902212F

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Donal O'Regan: FIXED POINT INDEX FOR COMPOSITE TYPE MAPS

2000 Mathematical Subject Classification: 47H10
Key words and phrases: Index theory, compact absorbing contractions.

doi:10.2298/AADM0902224O

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Akbar Azam, Muhammad Arshad, Ismat Beg: BANACH CONTRACTION PRINCIPLE ON CONE RECTANGULAR METRIC SPACES

2000 Mathematical Subject Classification: 47H10, 54H25
Key words and phrases: Fixed point, contraction mapping principle, cone rectangular metric space, cone metric space.

doi:10.2298/AADM0902236A

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Martin Bohner, Taher S. Hassan: Oscillation and boundedness of solutions to first and second order forced functional dynamic equations with mixed nonlinearities

2000 Mathematical Subject Classification: 39A10
Key words and phrases: Dynamic equation, time scales, oscillations, mixed nonlinear, non-homogeneous.

doi:10.2298/AADM0902242B

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Lynn Erbe, Taher Hassan, Allan Peterson: Oscillation criteria for first order forced dynamic equations

2000 Mathematical Subject Classification: 34C10, 34K11
Key words and phrases: equation, first order, oscillation.

doi:10.2298/AADM0902253E

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Abbas Najati, Themistocles M Rassias: Stability of homomorphisms and $(theta,phi)$-derivations

2000 Mathematical Subject Classification: 39B72, 47H09
Key words and phrases: Generalized metric space, fixed point, stability, Banach algebra, semiprime ring, Jordan derivation, generalized Jordan derivation.

doi:10.2298/AADM0902264N

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E. Bendito, A. M. Encinas, A. Carmona: Eigenvalues, eigenfunctions and Green's Functions on a Path via Chebyshev Polynomials

2000 Mathematical Subject Classification: 39A12, 34B45, 05E35
Key words and phrases: Discrete Schrödinger operator, Paths, Green’s Function, eigenvalues, Chebyshev Polynomials.

doi:10.2298/AADM0902282B

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Lane Clark: LIMIT DISTRIBUTION OF ASCENT, DESCENT OR EXCEDANCE LENGTH SUMS OF PERMUTATIONS

2000 Mathematical Subject Classification: 05A10, 60F05
Key words and phrases: ascents, descents, excedances, length sums, central limit theorems.

doi:10.2298/AADM0902303C

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Roman Witula, Damian Slota: δ-FIBONACCI NUMBERS

2000 Mathematical Subject Classification: 11B39, 11B83, 11A07, 39A10
Key words and phrases: Fibonacci numbers, Lucas numbers.

doi:10.2298/AADM0902310W

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Saeid Alikhani, Yee-hock Peng: CHROMATIC ZEROS AND GENERALIZED FIBONACCI NUMBERS

2000 Mathematical Subject Classification: 05C15, 11B39
Key words and phrases: Chromatic Zero; Fibonacci Numbers; n-anacci constants.

doi:10.2298/AADM0902330A

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Qiu-Ming Luo: SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS

2000 Mathematical Subject Classification: Primary 11M35; Secondary 11B68
Key words and phrases: Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Hurwitz Zeta function, Hurwitz-Lerch Zeta function, Lerch's functional equation.

doi:10.2298/AADM0902336L

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Bibin K. Jose, Zsolt Tuza: Hypergraph domination and strong independence

2000 Mathematical Subject Classification: 05C65, 05C69
Key words and phrases: Balanced hypergraph, strongly independent set, inverse domination number, independent domination number, disjoint domination number.

doi:10.2298/AADM0902347J

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S. Arumugam, Sithara Jerry: FRACTIONAL EDGE DOMINATION IN GRAPHS

2000 Mathematical Subject Classification: 05C69
Key words and phrases: edge dominating function, edge irredundant function, edge independent function.

doi:doi:10.2298/AADM0902359A

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Bo Zhou, Ivan Gutman: MORE ON THE LAPLACIAN ESTRADA INDEX

2000 Mathematical Subject Classification: 05C50
Key words and phrases: Spectrum (of graph), Laplacian spectrum (of graph), Estrada index, Laplacian Estrada index.

doi:10.2298/AADM0902371Z

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Shengbiao Hu: A SHARP LOWER BOUND OF THE SPECTRAL RADIUS OF SIMPLE GRAPHS

2000 Mathematical Subject Classification: 05C50
Key words and phrases: Eigenvalues, Spectral radius, Lower bound, Trees.

doi:10.2298/AADM0902379H

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Letıcia R. Bueno, Luerbio Faria, Celina M. H. de Figueiredo, Guilherme D. da Fonseca: Hamiltonian Paths in Odd Graphs

2000 Mathematical Subject Classification: 05C10, 05C45, 05C70
Key words and phrases: Hamilton path, odd graphs, Kneser graphs, middle levels problem.

doi:10.2298/AADM0902386B

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