Applicable Analysis and Discrete Mathematics
Vol. 5, No 2 (October, 2011)
Electronic version posted on September 14, 2011.


Dragoš Cvetković, Peter Rowlinson, Zoran Stanić, Myung-Gon Yoon:
Controllable graphs with least eigenvalue at least -2

2000 Mathematical Subject Classification: 05C50
Keywords and phrases: Graph spectra, control theory, main eigenvalues, bounded eigenvalues.

doi:10.2298/AADM110909022C






Emanuele Munarini:
RIORDAN MATRICES AND SUMS OF HARMONIC NUMBERS

2000 Mathematical Subject Classification: 05A15, 05A10
Keywords and phrases: Generating function, Fibonacci and Lucas number, Catalan and Motzkin number, binomial and trinomial coefficient.

doi:10.2298/AADM110609014M






Victor J. W. Guo:
On Jensen\'s and related combinatorial identities

2000 Mathematical Subject Classification: 05A10, 05A19
Keywords and phrases: Jensen’s identity, Chu’s identity, Mohanty-Handa’s identity, Graham-Knuth-Patashnik’s identity, multinomial coefficient.

doi:10.2298/AADM110717017G






Ayhan Dil, Veli Kurt:
POLYNOMIALS RELATED TO HARMONIC NUMBERS AND EVALUATION OF HARMONIC NUMBER SERIES II

2000 Mathematical Subject Classification: 11B73, 11B75, 11B83
Keywords and phrases: Exponential numbers and polynomials, geometric numbers and polynomials, Stirling numbers, harmonic and hyperharmonic numbers.

doi:10.2298/AADM110615015D






Kostis Andriopoulos, Peter Leach:
SINGULARITY ANALYSIS FOR AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL EQUATIONS

2000 Mathematical Subject Classification: 34A05, 34A34, 34M35
Keywords and phrases: Singularity analysis, Laurent expansions, Chazy equations.

doi:10.2298/AADM110715016A






Pham Hai:
ON TWO THEOREMS REGARDING EXPONENTIAL STABILITY

2000 Mathematical Subject Classification: 34D05, 39A12
Keywords and phrases: Exponential stability, Barbashin\'s theorem, Datko\'s theorem, Linear skew-evolution semiows..

doi:10.2298/AADM110810018H






M. R. Abdollahpour, A. Najati:
Besselian $G$-frames and Near $G$-Riesz bases

2000 Mathematical Subject Classification: 41A58, 42C15
Keywords and phrases: g-Bessel sequence, g-frame, Besselian g-frame, near g-Riesz basis.

doi:10.2298/AADM110510013A






Charlotte Brennan, Stephan Wagner, Arnold Knopfmacher, Toufik Mansour:
Separation of the maxima in samples of geometric random variables

2000 Mathematical Subject Classification: 60C05, 05A15, 05A16
Keywords and phrases: Geometric random variables, probability generating functions, maxima, asymptotics.

doi:10.2298/AADM110817019B






Danijela Rajter-Ćirić:
Fractional derivatives of Colombeau generalized stochastic processes defined on R+

2000 Mathematical Subject Classification: 46F30, 60G20, 60H10, 26A33
Keywords and phrases: Colombeau generalized stochastic processes, Fractional derivatives.

doi:10.2298/AADM110824020R






Miodrag Petković, Jovana Džunić, Ljiljana D. Petković:
A FAMILY OF TWO-POINT METHODS WITH MEMORY FOR SOLVING NONLINEAR EQUATIONS

2000 Mathematical Subject Classification: 65H05
Keywords and phrases: Nonlinear equations, Iterative methods, Multipoint methods with memory, Acceleration of convergence, Computational efficiency.

doi:10.2298/AADM110905021P





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