Applicable Analysis and Discrete Mathematics

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Applicable Analysis and Discrete Mathematics
(since 2007)Publications - Series: Mathematics
(1990-2007)Publications - Series: Mathematics and Physics
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Applicable Analysis and Discrete MathematicsPublisher: Faculty of Electrical Engineering, BelgradeISSN 1452-8630 (printed)ISSN 2406-100X (online)Issue: 4, No. 1Date: 2010

FAMILIES OF OPTIMAL MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS: A SURVEY	1 - 22
Miodrag S. Petković and Ljiljana D. Petković

Keywords: Multipoint methods, Optimal methods, Nonlinear equations, Computational efficiency, Kung-Traub's conjectureAMS: 65H05

Numerical analysis meets number theory: using rootfinding methods to calculate inverses mod $p^n$	23 - 31
Christos Xenophontos and Michael Knapp

Keywords: Newton's method, inverses modulo pn; secant methodAMS: 11A07 (65-01)

HENSEL CODES OF SQUARE ROOTS OF P-ADIC NUMBERS	32 - 44
Kecies Mohamed, Zerzaihi Tahar and Michael Knapp

Keywords: P-adic number, square root, Hensel code, fixed point, speed of convergenceAMS: 26E30. 34K28

On functions of Arakawa and Kaneko and multiple zeta functions	45 - 53
Markus Kuba

Keywords: Multiple zeta values, finite multiple zeta values, multiple zeta star values, finite stufle identityAMS: 11M06, 40B05

ABEL'S METHOD ON SUMMATION BY PARTS AND BALANCED q-SERIES IDENTITIES	54 - 65
Wenchang Chu

Keywords: Abel’s lemma on summation by parts, basic hypergeometric seriesAMS: 33D15, 05A30

Convergence properties of the q-deformed binomial distribution	66 - 80
Martin Zeiner

Keywords: q-deformed binomial distribution, q-Poisson distribution, limit theorems, Euler-distribution, exponential distributionAMS: Primary. 33D90; Secondary. 05A30, 60F05

Staircase words and Chebyshev polynomials	81 - 95
Arnold Knopfmacher, Toufik Mansour, Augustine Munagi and Helmut Prodinger

Keywords: Staircase word, staircase cyclic word, staircase necklace, Chebyshev polynomial, generating function, tridiagonal matrixAMS: 68R05, 05A05, 05A15, 05A16

Mirroring and Interleaving in the Paperfolding Sequence	96 - 118
Bruce Bates, Martin Bunder and Keith Tognetti

Keywords: Paperfolding, Binary Reflected Gray Code, Stern-Brocot treeAMS: 11B37, 11B83

On the number of certain types of strongly restricted permutations	119 - 135
Vladimir Baltic

Keywords: Restricted permutations, exact enumeration, recurrences, permanentsAMS: 05A15, 05A05, 11B37, 15A15

TWO SUBCLASSES OF 2-CONVEX POLYOMINOES: PROPERTIES FOR RECONSTRUCTION	136 - 155
Khalil Tawbe

Keywords: Discrete geometry, convex polyominoes, discrete tomographyAMS: 52C10

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