Applicable Analysis and Discrete Mathematics Vol. 17, No 1 (April, 2023)
Online version (ISSN 2406-100X) posted on April 27, 2023.
Printed version (ISSN 1452-8630) appeared on April 27, 2023.
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- Title:
- PROTECTION NUMBERS IN SIMPLY GENERATED TREES AND PÓLYA TREES
- Authors:
- Bernhard Gittenberger, Zbigniew Gołębiewski, Isabella Larcher and Małgorzata Sulkowska
- Classification:
- 2020 Mathematical Subject Classification: 05C05, 05A15, 05A16
- Keywords:
- Keywords and phrases: Protection number, Simply generated trees, Pólya trees, Non-plane binary trees
- Doi:
- Doi: 10.2298/AADM190329010G
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- Title:
- EULERIAN FRACTIONS AND STIRLING, BERNOULLI AND EULER FUNCTIONS WITH COMPLEX ORDER PARAMETERS AND THEIR IMPACT ON THE POLYLOGARITHM FUNCTION
- Authors:
- Paul Butzer, Tian-Xiao He and Clemens Markett
- Classification:
- 2020 Mathematical Subject Classification: 11B99, 11B68, 11M06
- Keywords:
- Keywords and phrases: Polylogarithm, Eulerian polynomials, Eulerian fractions, Stirling functions, Bernoulli functions
- Doi:
- Doi: 10.2298/AADM220506002B
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- Title:
- A NOTE ON DEGENERATE MULTI-POLY-BERNOULLI NUMBERS AND POLYNOMIALS
- Authors:
- Taekyun Kim and Dae San Kim
- Classification:
- 2020 Mathematical Subject Classification: 11B83, 05A19
- Keywords:
- Keywords and phrases: Degenerate multi-poly-Bernoulli polynomials, Multiple poly-logarithm, Stirling numbers, Bernoulli polynomials and numbers
- Doi:
- Doi: 10.2298/AADM200510005K
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- Title:
- NEW SERIES WITH CAUCHY AND STIRLING NUMBERS, PART 2
- Authors:
- Khristo N. Boyadzhiev and Levent Kargın
- Classification:
- 2020 Mathematical Subject Classification: 11B65, 05A19, 33B99, 30B10
- Keywords:
- Keywords and phrases: Cauchy number, Harmonic number, Hyperharmonic number, Central binomial coefficient, Series with special numbers
- Doi:
- Doi: 10.2298/AADM210112001B
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- Title:
- New sharp inequalities of Mitrinović-Adamović type
- Authors:
- Wei-Dong Jiang
- Classification:
- 2020 Mathematical Subject Classification: 26D15, 33E20
- Keywords:
- Keywords and phrases: Trigonometric functions, Mitrinović-Adamović inequality, Monotonicity, Inequality
- Doi:
- Doi: 10.2298/AADM210507010J
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- Title:
- The relationship between Huygens' and Wilker's inequalities and further remarks
- Authors:
- Chao-Ping Chen and Cristinel Mortici
- Classification:
- 2020 Mathematical Subject Classification: 26D05
- Keywords:
- Keywords and phrases: Inequalities, Huygens' inequality, Wilker inequality, Cusa's inequality
- Doi:
- Doi: 10.2298/AADM210727012C
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- Title:
- Bier Spheres of Extremal Volume and Generalized Permutohedra
- Authors:
- Filip D. Jevtić and Rade T. Živaljević
- Classification:
- 2020 Mathematical Subject Classification: 52B12, 52B35, 52B70
- Keywords:
- Keywords and phrases: Bier sphere, Braid fan, Generalized permutohedra, Van Kampen-Flores theorem
- Doi:
- Doi: 10.2298/AADM211010026J
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- Title:
- The Structure of the 2-factor Transfer Digraph Common for Rectangular, Thick Cylinder and Moebius Strip Grid Graphs
- Authors:
- Jelena Đokić, Ksenija Doroslovački and Olga Bodroža-Pantić
- Classification:
- 2020 Mathematical Subject Classification: 05C38, 05C50, 05A15, 05C30, 05C85
- Keywords:
- Keywords and phrases: 2-factor, Transfer matrix, Thick grid cylinder, Moebius strip
- Doi:
- Doi: 10.2298/AADM211211006D
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- Title:
- Complete monotonicity involving the divided difference of polygamma functions
- Authors:
- Zhen-Hang Yang and Jing-Feng Tian
- Classification:
- 2020 Mathematical Subject Classification: 33B15, 26A48, 15A45
- Keywords:
- Keywords and phrases: Polygamma functions, Divided difference, Majorization, Complete monotonicity
- Doi:
- Doi: 10.2298/AADM210630007Y
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- Title:
- Asymptotic Expansions for the Wallis Sequence and Some New Mathematical Constants Associated with the Glaisher-Kinkelin and Choi-Srivastava Constants
- Authors:
- Xue-Feng Han, Chao-Ping Chen and Hari M. Srivastava
- Classification:
- 2020 Mathematical Subject Classification: 11M06, 41A60, 40A05
- Keywords:
- Keywords and phrases: Wallis' sequence, Asymptotic expansion, Glaisher-Kinkelin constant, Generalized Glaisher-Kinkelin constant, Barnes G-function, Choi-Srivastava constants, Stirling's formula, Riemann zeta function, Euler-Maclaurin summation formula
- Doi:
- Doi: 10.2298/AADM220414024H
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- Title:
- Hugelschaffer Egg Curve and Surface
- Authors:
- Maja Petrović and Branko Malešević
- Classification:
- 2020 Mathematical Subject Classification: 14H50, 53A04
- Keywords:
- Keywords and phrases: Egg shaped curve/surface, Hugelschaffer's model, Elliptic integral
- Doi:
- Doi: 10.2298/AADM220526027P
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- Title:
- MODIFICATION EXPONENTIAL EULER TYPE SPLINES DERIVED FROM APOSTOL-EULER NUMBERS AND POLYNOMIALS OF COMPLEX ORDER
- Authors:
- Damla Gun and Yilmaz Simsek
- Classification:
- 2020 Mathematical Subject Classification: 41A15, 11B68, 05A15
- Keywords:
- Keywords and phrases: Exponential Euler splines, Apostol-Euler numbers and polynomials, Generating functions, Beta-type rational functions
- Doi:
- Doi: 10.2298/AADM220712011G
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- Title:
- ON THE ZERO BOUNDS OF POLYNOMIALS AND REGULAR FUNCTIONS OF A QUATERNIONIC VARIABLE
- Authors:
- Gradimir V. Milovanović and Abdullah Mir
- Classification:
- 2020 Mathematical Subject Classification: 30E10, 30G35, 16K20
- Keywords:
- Keywords and phrases: Quaternions, Quaternionic polynomials, Enestrom-Kakeya theorem, Slice regular functions, Zero-sets of a regular function
- Doi:
- Doi: 10.2298/AADM220905033M
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- Title:
- ANISOTROPIC DISCRETE BOUNDARY VALUE PROBLEMS
- Authors:
- Omar Hammouti, Said Taarabti and Ravi P. Agarwal
- Classification:
- 2020 Mathematical Subject Classification: 47A75, 34B15, 35B38
- Keywords:
- Keywords and phrases: Discrete nonlinear boundary value problems, Critical point theory, Nontrivial solution
- Doi:
- Doi: 10.2298/AADM220824008H
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- Title:
- INVERSE PROBLEM FOR DIRAC OPERATORS WITH A CONSTANT DELAY LESS THAN HALF THE LENGTH OF THE INTERVAL
- Authors:
- Nebojša Đurić and Biljana Vojvodić
- Classification:
- 2020 Mathematical Subject Classification: 34A55, 34K29
- Keywords:
- Keywords and phrases: Dirac-type operator, Constant delay, Functional-differential operator, Inverse spectral problem
- Doi:
- Doi: 10.2298/AADM221211009D
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- Title:
- GENERATING FUNCTIONS FOR GENERALIZATION SIMSEK NUMBERS AND THEIR APPLICATIONS
- Authors:
- Mouloud Goubi
- Classification:
- 2020 Mathematical Subject Classification: 11B83, 11B68, 26C05, 26C10
- Keywords:
- Keywords and phrases: Simsek numbers, Generating functions, Exponential partial Bell polynomials
- Doi:
- Doi: 10.2298/AADM200522005G
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- Title:
- A NOTE ON SHARPENING OF A THEOREM OF ANKENY AND RIVLIN
- Authors:
- Aseem Dalal and Narendra K. Govil
- Classification:
- 2020 Mathematical Subject Classification: 30A10, 30C10, 30E10
- Keywords:
- Keywords and phrases: Inequalities in complex plane, Polynomials and rational functions, Approximation in complex plane
- Doi:
- Doi: https://doi.org/10.2298/AADM200206012D
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