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.

• 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:

  Hügelschäffer 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, Hügelschäffer'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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