Applicable Analysis and Discrete Mathematics Vol. 17, No 2 (October, 2023)

Online version (ISSN 2406-100X) posted on October 27, 2023.

Printed version (ISSN 1452-8630) appeared on October 27, 2023.

• Title:

  RANK PARTITION FUNCTIONS AND TRUNCATED THETA IDENTITIES

  Authors:

  Mircea Merca

  Classification:

  2020 Mathematical Subject Classification: 05A17, 11P81, 11P83

  Keywords:

  Keywords and phrases: Partitions, Dyson's rank, Theta series, Inequalities

  Doi:

  DOI: 10.2298/AADM190401023M

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• Title:

  ON SPECTRAL THEORY OF A K-UNIFORM DIRECTED HYPERGRAPH

  Authors:

  Gholam H. Shirdel, Ameneh Mortezaee and Effat Golpar-Raboky

  Classification:

  2020 Mathematical Subject Classification: 05C65, 15A18

  Keywords:

  Keywords and phrases: Directed Hypergraph, Adjacency tensor, Laplacian tensor, Signless Laplacian tensor, H-eigenvalue

  Doi:

  DOI: 10.2298/AADM180213022S

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• Title:

  EXISTENCE OF REGULAR NUT GRAPHS AND THE FOWLER CONSTRUCTION

  Authors:

  John Baptist Gauci, Tomaž Pisanski and Irene Sciriha

  Classification:

  2020 Mathematical Subject Classification: 15B34, 15B99, 15A03, 15A18, 05C50

  Keywords:

  Keywords and phrases: Singular matrix, Nullity, Nut graph, Core graph, Fowler construction

  Doi:

  DOI: 10.2298/AADM190517028G

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• Title:

  INTEGRAL CAYLEY GRAPHS OVER SEMI-DIHEDRAL GROUPS

  Authors:

  Tao Cheng, Lihua Feng, Guihai Yu and Chi Zhang

  Classification:

  2020 Mathematical Subject Classification: 05C50, 05C25

  Keywords:

  Keywords and phrases: Integral Cayley graph, Eigenvalue, Character, Semi-dihedral groups

  Doi:

  DOI: 10.2298/AADM190330001C

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• Title:

  ON SOME COMPUTATIONAL ASPECTS OF HERMITE & HAAR WAVELETS ON A CLASS OF NONLINEAR SINGULAR BVPS

  Authors:

  Amit K. Verma and Diksha Tiwari

  Classification:

  2020 Mathematical Subject Classification: 34B16, 42C40

  Keywords:

  Keywords and phrases: MRA, Quasilinearization, Newton Raphson, Haar Wavelets, Hermite Wavelets, Nonlinear Singular Boundary value problems

  Doi:

  DOI: 10.2298/AADM191123020V

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• Title:

  Sharp inequalities for the complete elliptic integrals of the first and second kind

  Authors:

  Wei-Dong Jiang

  Classification:

  2020 Mathematical Subject Classification: 26E60, 26D15, 33B10

  Keywords:

  Keywords and phrases: Gaussian hypergeometric function, Complete elliptic integral of the first kind, Complete elliptic integral of the second kind, Monotonicity, Inequality

  Doi:

  DOI: 10.2298/AADM200613020J

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• Title:

  EULER SUMS OF GENERALIZED HARMONIC NUMBERS AND CONNECTED EXTENSIONS

  Authors:

  Mümün Can, Levent Kargın, Ayhan Dil and Gültekin Soylu

  Classification:

  2020 Mathematical Subject Classification: 11M41, 11B83, 11M06

  Keywords:

  Keywords and phrases: Harmonic numbers, Hyperharmonic numbers, Generalized harmonic numbers, Euler sums, Riemann zeta function

  Doi:

  DOI: 10.2298/AADM210122014C

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• Title:

  NEW FAMILY OF ROOT-FINDING ALGORITHMS BASED ON INVERSE RATIONAL INTERPOLATION

  Authors:

  Jovana Džunić

  Classification:

  2020 Mathematical Subject Classification: 65H05

  Keywords:

  Keywords and phrases: Nonlinear equations, Multipoint iterative methods, Rational functions, Inverse interpolation

  Doi:

  DOI: 10.2298/AADM220708003D

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• Title:

  Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen's inequality via the extension of Mongomery identity

  Authors:

  Josip Pečarić, Anamarija Perušić Pribanić and Ksenija Smoljak Kalamir

  Classification:

  2020 Mathematical Subject Classification: 26D15, 26A51

  Keywords:

  Keywords and phrases: Montgomery's identity, Taylor's formula, Fink's identity, n-convex functions, Weighted Hermite-Hadamard inequality

  Doi:

  DOI: 10.2298/AADM220523015P

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• Title:

  Multi-dimensional Weyl almost periodic type functions and applications

  Authors:

  Marko Kostić and Vladimir E. Fedorov

  Classification:

  2020 Mathematical Subject Classification: 42A75, 43A60, 47D99

  Keywords:

  Keywords and phrases: Multi-dimensional Weyl almost periodic functions, Lebesgue spaces with variable exponents, Abstract Volterra integro-differential equations.

  Doi:

  DOI: 10.2298/AADM221130016K

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• Title:

  Existence and multiplicity for Dirichlet problem with $gamma(xi)$-Laplacian equation and Nehari manifold

  Authors:

  Jose Vanterler da C. Sousa, Daniela S. Oliveira and Ravi P. Agarwal

  Classification:

  2020 Mathematical Subject Classification: 26A33, 35B38, 35D05, 35J60, 35J70, 58E05

  Keywords:

  Keywords and phrases: Fractional differential equation, γ(ξ)-Laplacian equation, Variational methods, Nehari manifold, Multiple positive solutions

  Doi:

  DOI: 10.2298/AADM220903017S

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• Title:

  A new class of generalized Fubini polynomials and their computational algorithms

  Authors:

  Neslihan Kilar

  Classification:

  2020 Mathematical Subject Classification: 05A15, 11B68, 11B73

  Keywords:

  Keywords and phrases: Apostol type numbers and polynomials, Stirling numbers, Generalized Fubini numbers, Generating functions, Computational algorithms

  Doi:

  DOI: 10.2298/AADM210708023K

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• Title:

  Analytical and Asymptotic Representations for Two Sequences Related to Gauss' Lemniscate Functions

  Authors:

  Xue-Feng Han, Chao-Ping Chen and Hari M. Srivastava

  Classification:

  2020 Mathematical Subject Classification: 41A60, 11M35, 40A05

  Keywords:

  Keywords and phrases: Gamma and Beta function, Lemniscate functions, Asymptotic expansions, Zeta functions, Bell Polynomials

  Doi:

  DOI: 10.2298/AADM220810024H

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• Title:

  NEW FAMILY OF JACOBI-STIRLING NUMBERS

  Authors:

  Nenad Cakić, Beih S. El-Desouky and Rabab S. Gomaa

  Classification:

  2020 Mathematical Subject Classification: 11B73, 92E10, 05B50

  Keywords:

  Keywords and phrases: Stirling numbers, Jacobi-Stirling numbers, Explicit formula, Combinatorial identities, Legendre-Stirling numbers

  Doi:

  DOI: 10.2298/AADM210829013C

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• Title:

  SOME RESULTS ON DEGENERATE FUBINI AND DEGENERATE BELL POLYNOMIALS

  Authors:

  Taekyun Kim, Dae San Kim

  Classification:

  2020 Mathematical Subject Classification: 11B73,11B83

  Keywords:

  Keywords and phrases: Degenerate Fubini polynomials, Degenerate Bell polynomials

  Doi:

  DOI: 10.2298/AADM200310035K

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