Applicable Analysis and Discrete Mathematics Vol. 16, No 2 (October, 2022)

Online version (ISSN 2406-100X) posted on October 27, 2022.

Printed version (ISSN 1452-8630) appeared on October 27, 2022.

• Title:

  CHARACTERIZATION OF STRONGLY REGULAR INTEGRAL CIRCULANT GRAPHS BY SPECTRAL APPROACH

  Authors:

  Milan Basic

  Classification:

  2020 Mathematical Subject Classification: 05C50, 05E30.

  Keywords:

  Keywords and phrases: Circulant graphs, Integral graphs, Strongly regular graphs.

  Doi:

  DOI: https://doi.org/10.2298/AADM180713023B

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• Title:

  UMBRAL OPERATORS FOR CAYLEY AND SYLVESTER CONTINUANTS

  Authors:

  Emanuele Munarini

  Classification:

  2020 Mathematical Subject Classification: 05A40, 05A19, 05A15

  Keywords:

  Keywords and phrases: Umbral operators, Sheffer sequences, Tridiagonal determinants, Meixner polynomials, Central factorial polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM200120037M

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• Title:

  ASYMMETRIC EXTENSION OF PASCAL-DELANNOY TRIANGLES

  Authors:

  Said Amrouche and Hacene Belbachir

  Classification:

  2020 Mathematical Subject Classification: 5A10, 11B39, 11B37

  Keywords:

  Keywords and phrases: Generalized Pascal triangle, Recurrence relations, Generating function, q-analogue

  Doi:

  DOI: https://doi.org/10.2298/AADM200411028A

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• Title:

  OSCILLATION OF ODD-ORDER DIFFERENTIAL EQUATIONS WITH A NONPOSITIVE SUBLINEAR NEUTRAL TERM AND DISTRIBUTED DEVIATING ARGUMENTS

  Authors:

  John R. Graef, Irena Jadlovska and Ercan Tunc

  Classification:

  2020 Mathematical Subject Classification: 34K11, 34K40, 34C10

  Keywords:

  Keywords and phrases: Oscillation, Odd order, Neutral differential equation, Nonpositive neutral term, Sublinear neutral term.

  Doi:

  DOI: https://doi.org/10.2298/AADM200918012G

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• Title:

  A MONOTONICITY THEOREM FOR THE GENERALIZED ELLIPTIC INTEGRAL OF THE FIRST KIND

  Authors:

  Qi Bao, Xue-Jing Ren and Miao-Kun Wang

  Classification:

  2020 Mathematical Subject Classification: 33E05, 33C75

  Keywords:

  Keywords and phrases: Generalized elliptic integrals, Complete elliptic integrals, Psi function, Monotonicity, Inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM201005031B

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• Title:

  ASYMPTOTIC EXPANSIONS AND INEQUALITIES RELATING TO THE GAMMA FUNCTION

  Authors:

  Chao-Ping Chen and Cristinel Mortici

  Classification:

  2020 Mathematical Subject Classification: 33B15, 41A60, 26D15

  Keywords:

  Keywords and phrases: Bernoulli numbers, Inequality., Asymptotic expansion, Gamma function

  Doi:

  DOI: https://doi.org/10.2298/AADM200710034C

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• Title:

  SOME GENERAL WILKER-HUYGENS INEQUALITIES

  Authors:

  Tie-Hong Zhao and Yu-Ming Chu

  Classification:

  2020 Mathematical Subject Classification: 26D07, 33E20

  Keywords:

  Keywords and phrases: Trigonometric functions, Arc lemniscate functions, Wilker-Huygens inequality, Monotonicity.

  Doi:

  DOI: https://doi.org/10.2298/AADM210518032Z

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• Title:

  MACLAURIN’S SERIES EXPANSIONS FOR POSITIVE INTEGER POWERS OF INVERSE (HYPERBOLIC) SINE AND TANGENT FUNCTIONS, CLOSED-FORM FORMULA OF SPECIFIC PARTIAL BELL POLYNOMIALS, AND SERIES REPRESENTATION OF GENERALIZED LOGSINE FUNCTION

  Authors:

  Bai-Ni Guo, Dongkyu Lim and Feng Qi

  Classification:

  2020 Mathematical Subject Classification: 41A58, 05A19, 11B73, 11B83, 11C08, 26A39, 33B10, 33B15, 33B20

  Keywords:

  Keywords and phrases: Maclaurin’s series expansion, inverse sine function, partial Bell polynomial, generalized logsine function, first kind Stirling number

  Doi:

  DOI: https://doi.org/10.2298/AADM210401017G

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• Title:

  A NON-NEGATIVE INTEGER-VALUED MODEL: ESTIMATION, COUNT REGRESSION AND PRACTICAL EXAMPLES

  Authors:

  Hassan S. Bakouch, Kadir Karakaya, Christophe Chesneau and Yunus Akdogan

  Classification:

  2020 Mathematical Subject Classification: 60E05, 62E10, 62E15

  Keywords:

  Keywords and phrases: Poisson-Lindley distribution, Estimation, Data analysis, Count regression

  Doi:

  DOI: https://doi.org/10.2298/AADM210114029B

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• Title:

  AN IDENTITY INVOLVING DERANGEMENT NUMBERS AND BELL NUMBERS

  Authors:

  Zhibin Du and Carlos M. da Fonseca

  Classification:

  2020 Mathematical Subject Classification: 05A05, 05A10, 15A15, 11B37, 11C20

  Keywords:

  Keywords and phrases: Derangement numbers, Stirling numbers of the second kind, Bell numbers, Hessenberg matrices

  Doi:

  DOI: https://doi.org/10.2298/AADM200705010D

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• Title:

  A BERNSTEIN-SCHNABL TYPE OPERATOR: APPLICATIONS TO DIFFERENCE EQUATIONS

  Authors:

  Ana-Maria Acu, Madalina Dancs, Margareta Heilmann, Vlad Pasca and Ioan Rasa

  Classification:

  2020 Mathematical Subject Classification: 41A36, 39A06.

  Keywords:

  Keywords and phrases: Bernstein-Schnabl operators, Divided difference, Difference equations, Bernoulli polynomials, Eigenvalues and eigenpolynomials.

  Doi:

  DOI: https://doi.org/10.2298/AADM210714011A

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• Title:

  THE EXTENDED EULERIAN NUMBERS OVER FUNCTION FIELDS

  Authors:

  Abdelmejid Bayad and Mounir Hajli

  Classification:

  2020 Mathematical Subject Classification: 11A25, 11N37, 11G40, 11R42.

  Keywords:

  Keywords and phrases: Eulerian numbers, Function fields, Hasse-Weil zeta function

  Doi:

  DOI: https://doi.org/10.2298/AADM210930019B

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• Title:

  TWO PARAMETERIZED SERIES REPRESENTATIONS FOR THE DIGAMMA FUNCTION

  Authors:

  Horst Alzer and Junesang Choi

  Classification:

  2020 Mathematical Subject Classification: 33B10, 33C05.

  Keywords:

  Keywords and phrases: Digamma function, Beta function, Hypergeometric function, Gamma function, Euler-Mascheroni constant

  Doi:

  DOI: https://doi.org/10.2298/AADM211208022A

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• Title:

  A q-DIRAC BOUNDARY VALUE PROBLEM WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS

  Authors:

  Martin Bohner and F. Ayca Cetinkaya

  Classification:

  2020 Mathematical Subject Classification: 34B09, 34L05

  Keywords:

  Keywords and phrases: q-calculus, Dirac operator, Boundary value problems, Eigenvalues and eigenfunctions, Green’s function.

  Doi:

  DOI: https://doi.org/10.2298/AADM220323036B

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• Title:

  AN EQUIVALENT PROPERTY OF A HILBERT-TYPE INTEGRAL INEQUALITY AND ITS APPLICATIONS

  Authors:

  B. Yang, D. Andrica, O. Bagdasar, and M. Th. Rassias

  Classification:

  2020 Mathematical Subject Classification: 26D15 47A05

  Keywords:

  Keywords and phrases: Hilbert-type integral inequality, Weight function, Equivalent form, Operator, Norm

  Doi:

  DOI: https://doi.org/10.2298/AADM220514025Y

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• Title:

  NOTE ON AN INEQUALITY OF M. A. MALIK

  Authors:

  Abdullah Mir, Abrar Ahmad and Adil Hussain Malik

  Classification:

  2020 Mathematical Subject Classification: 30A10, 30C10, 30C15.

  Keywords:

  Keywords and phrases: Tur´an’s classical inequality, Minimum Modulus Principle, Polar derivative of a polynomial.

  Doi:

  DOI: https://doi.org/10.2298/AADM210529030M

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