Applicable Analysis and Discrete Mathematics Vol. 5, No 2 (October, 2011)

Online version (ISSN 2406-100X) posted on September 14, 2011.

• Title:

  Controllable graphs with least eigenvalue at least -2

  Authors:

  Dragoš Cvetković, Peter Rowlinson, Zoran Stanić, Myung-Gon Yoon

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Graph spectra, control theory, main eigenvalues, bounded eigenvalues

  Doi:

  DOI: 10.2298/AADM110909022C

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• Title:

  RIORDAN MATRICES AND SUMS OF HARMONIC NUMBERS

  Authors:

  Emanuele Munarini

  Classification:

  2000 Mathematical Subject Classification: 05A15, 05A10

  Keywords:

  Keywords and phrases: Generating function, Fibonacci and Lucas number, Catalan and Motzkin number, binomial and trinomial coefficient

  Doi:

  DOI: 10.2298/AADM110609014M

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• Title:

  On Jensen's and related combinatorial identities

  Authors:

  Victor J. W. Guo

  Classification:

  2000 Mathematical Subject Classification: 05A10, 05A19

  Keywords:

  Keywords and phrases: Jensen’s identity, Chu’s identity, Mohanty-Handa’s identity, Graham-Knuth-Patashnik’s identity, multinomial coefficient

  Doi:

  DOI: 10.2298/AADM110717017G

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• Title:

  POLYNOMIALS RELATED TO HARMONIC NUMBERS AND EVALUATION OF HARMONIC NUMBER SERIES II

  Authors:

  Ayhan Dil, Veli Kurt

  Classification:

  2000 Mathematical Subject Classification: 11B73, 11B75, 11B83

  Keywords:

  Keywords and phrases: Exponential numbers and polynomials, geometric numbers and polynomials, Stirling numbers, harmonic and hyperharmonic numbers

  Doi:

  DOI: 10.2298/AADM110615015D

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• Title:

  SINGULARITY ANALYSIS FOR AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL EQUATIONS

  Authors:

  Kostis Andriopoulos, Peter Leach

  Classification:

  2000 Mathematical Subject Classification: 34A05, 34A34, 34M35

  Keywords:

  Keywords and phrases: Singularity analysis, Laurent expansions, Chazy equations

  Doi:

  DOI: 10.2298/AADM110715016A

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• Title:

  ON TWO THEOREMS REGARDING EXPONENTIAL STABILITY

  Authors:

  Pham Hai

  Classification:

  2000 Mathematical Subject Classification: 34D05, 39A12

  Keywords:

  Keywords and phrases: Exponential stability, Barbashin's theorem, Datko's theorem, Linear skew-evolution semiows.

  Doi:

  DOI: 10.2298/AADM110810018H

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• Title:

  Besselian $G$-frames and Near $G$-Riesz bases

  Authors:

  M. R. Abdollahpour, A. Najati

  Classification:

  2000 Mathematical Subject Classification: 41A58, 42C15

  Keywords:

  Keywords and phrases: g-Bessel sequence, g-frame, Besselian g-frame, near g-Riesz basis

  Doi:

  DOI: 10.2298/AADM110510013A

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• Title:

  Separation of the maxima in samples of geometric random variables

  Authors:

  Charlotte Brennan, Stephan Wagner, Arnold Knopfmacher, Toufik Mansour

  Classification:

  2000 Mathematical Subject Classification: 60C05, 05A15, 05A16

  Keywords:

  Keywords and phrases: Geometric random variables, probability generating functions, maxima, asymptotics

  Doi:

  DOI: 10.2298/AADM110817019B

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• Title:

  Fractional derivatives of Colombeau generalized stochastic processes defined on R+

  Authors:

  Danijela Rajter-Ćirić

  Classification:

  2000 Mathematical Subject Classification: 46F30, 60G20, 60H10, 26A33

  Keywords:

  Keywords and phrases: Colombeau generalized stochastic processes, Fractional derivatives

  Doi:

  DOI: 10.2298/AADM110824020R

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• Title:

  A FAMILY OF TWO-POINT METHODS WITH MEMORY FOR SOLVING NONLINEAR EQUATIONS

  Authors:

  Miodrag Petković, Jovana Džunić, Ljiljana D. Petković

  Classification:

  2000 Mathematical Subject Classification: 65H05

  Keywords:

  Keywords and phrases: Nonlinear equations, Iterative methods, Multipoint methods with memory, Acceleration of convergence, Computational efficiency

  Doi:

  DOI: 10.2298/AADM110905021P

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