Applicable Analysis and Discrete Mathematics Vol. 19, No 1 (April, 2025)

Online version (ISSN 2406-100X) posted on April 25, 2025.

Printed version (ISSN 1452-8630) appeared on April 25, 2025.

• Title:

  Enumeration of non-crossing partitions according to subwords with repeated letters

  Authors:

  Mark Shattuck

  Classification:

  2020 Mathematical Subject Classification: 05A15, 05A18, 05A05

  Keywords:

  Keywords and phrases: subword pattern, non-crossing partition, Catalan number, Generating function

  Doi:

  DOI: https://doi.org/10.2298/AADM211221017S

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• Title:

  FORMULAE FOR ANTI-TRIANGULAR BLOCK MATRICES WHICH INCLUDE THE DRAZIN INVERSE

  Authors:

  Daochang Zhang, Dijana Mosić and Predrag S. Stanimirović

  Classification:

  2020 Mathematical Subject Classification: 15A09, 39B42, 65F20

  Keywords:

  Keywords and phrases: Drazin inverse, Anti-triangular matrix, Block matrix, Index

  Doi:

  DOI: https://doi.org/10.2298/AADM230418022Z

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• Title:

  ON A PROBLEM OF MEZO AND ITS GENERALIZATIONS TO THREE CLASSES OF RATIONAL ZETA SERIES

  Authors:

  Kunle Adegoke, Robert Frontczak and Taras Goy

  Classification:

  2020 Mathematical Subject Classification: 11M99, 11B39, 33B15

  Keywords:

  Keywords and phrases: Zeta Riemann function, Rational zeta series, Polylogarithm, Clausen function, Fibonacci numbers

  Doi:

  DOI: https://doi.org/10.2298/AADM230402001A

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• Title:

  WATER CAPACITY OF DYCK BRIDGES

  Authors:

  Arnold Knopfmacher and Aubrey Blecher

  Classification:

  2020 Mathematical Subject Classification: 05A05, 05A15, 05A16

  Keywords:

  Keywords and phrases: Dyck paths, generating functions, asymptotics, capacity

  Doi:

  DOI: https://doi.org/10.2298/AADM230605004K

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• Title:

  SEVERAL NEW INEQUALITIES OF TANC FUNCTION WITH APPLICATIONS TO SEIFFERT MEAN

  Authors:

  Wen-Hui Li and Bai-Ni Guo

  Classification:

  2020 Mathematical Subject Classification: 26E60, 26D05, 33B10

  Keywords:

  Keywords and phrases: Seiffert mean; necessary and sufficient condition; inequality; difference ratio; tanc function; cosine function; tangent function; inverse tangent function

  Doi:

  DOI: https://doi.org/10.2298/AADM231013011L

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• Title:

  SHARP BOUNDS FOR THE ELLIPTIC INTEGRAL OF THE FIRST KIND IN TERMS OF TWO CLASSES OF LOGARITHMIC-TYPE FUNCTIONS

  Authors:

  Miao-Kun Wang

  Classification:

  2020 Mathematical Subject Classification: 33E05, 26D07

  Keywords:

  Keywords and phrases: Complete elliptic integrals, Logarithmic-type function, Absolutely monotonic function, Inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM230909023W

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• Title:

  TREES MAXIMIZING THE NUMBER OF ALMOST-PERFECT MATCHINGS

  Authors:

  Stijn Cambie, Bradley McCoy, Gunjan Sharma, Stephan Wagner and Corrine Yap

  Classification:

  2020 Mathematical Subject Classification: 05C05, 05C09, 05C70

  Keywords:

  Keywords and phrases: Trees, Matching, Almost-perfect matching, Maximal matching, Weighted Hosoya index

  Doi:

  DOI: https://doi.org/10.2298/AADM230824006C

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• Title:

  SHARP SHAFER-FINK, LAZAREVIĆ AND CUSA TYPE INEQUALITIES FOR THE GUDERMANNIAN AND INVERSE GUDERMANNIAN FUNCTIONS

  Authors:

  Jun-Ling Sun and Chao-Ping Chen

  Classification:

  2020 Mathematical Subject Classification: 26D05, 26D07

  Keywords:

  Keywords and phrases: Shafer-Fink type inequalities; Lazarevi'c type inequalities; Cusa type inequalities; Gudermannian function; inverse Gudermannian function

  Doi:

  DOI: https://doi.org/10.2298/AADM230809021S

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• Title:

  SOME FIXED POINT THEOREMS FOR α-ADMISSIBLE θ-Φ-MULTIVALUED CONTRACTION MAPPINGS IN b-METRIC SPACES

  Authors:

  Abdellah Taqbibt, Milica Savatović, M'hamed Elomari and Said Melliani

  Classification:

  2020 Mathematical Subject Classification: 37C25 , 47H10, 47H09

  Keywords:

  Keywords and phrases: Admissible mapping, Fixed point, α-Complete spaces, θ-Φ-Multivalued contraction, b-Metric spaces

  Doi:

  DOI: https://doi.org/10.2298/AADM231005024T

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• Title:

  SOME PROPERTIES OF THE CATALAN NUMBERS

  Authors:

  Feng Qi

  Classification:

  2020 Mathematical Subject Classification: 05A16, 05A20, 11B75, 11R33, 11S23, 26A48, 44A10, 44A20

  Keywords:

  Keywords and phrases: Catalan number; asymptotic expansion; determinantal inequality; product inequality; complete monotonicity; minimality; integral representation; equivalence

  Doi:

  DOI: https://doi.org/10.2298/AADM240130002Q

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• Title:

  Formulas for $q$-combinatorial Simsek numbers and polynomials: Analyzing with computational implementations

  Authors:

  Irem Kucukoglu

  Classification:

  2020 Mathematical Subject Classification: 05A15, 11B83, 15A99

  Keywords:

  Keywords and phrases: Combinatorial numbers, q-analogues, Generating functions, Computation formulas, Derivative formulas, Mellin transform, Interpolation functions, p-adic q-integrals, Computational implementations

  Doi:

  DOI: https://doi.org/10.2298/AADM240227005K

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• Title:

  EXTENSIONS OF THE ERDöS-LAX POLYNOMIAL INEQUALITY

  Authors:

  Abdullah Mir, Tahir Fayaz and Wasim Ahmad Thoker

  Classification:

  2020 Mathematical Subject Classification: 30A10, 30C10, 30D15

  Keywords:

  Keywords and phrases: Bernstein-type inequalities, Extremal coefficients, Erdös-Lax inequality, Polar derivative, s-fold zeros

  Doi:

  DOI: https://doi.org/10.2298/AADM240306003M

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• Title:

  BY ANALYSIS OF MOMENTS OF GEOMETRIC DISTRIBUTION: NEW FORMULAS INVOLVING EULERIAN AND FUBINI NUMBERS

  Authors:

  Buket Simsek and Neslihan Kilar

  Classification:

  2020 Mathematical Subject Classification: 05A15, 60E05, 60E10, 11B68, 11B73

  Keywords:

  Keywords and phrases: Geometric distribution and moments, Characteristic and generating functions, Apostol-Bernoulli polynomials and numbers, Eulerian and Fubini numbers, Stirling numbers

  Doi:

  DOI: https://doi.org/10.2298/AADM240518025S

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• Title:

  ESTIMATING THE GENERALIZED EULER-MASCHERONI CONSTANT

  Authors:

  Cristinel Mortici

  Classification:

  2020 Mathematical Subject Classification: 26A07, 41A20, 40A05, 26A48

  Keywords:

  Keywords and phrases: harmonic numbers; the generalized Euler-Mascheroni constant; gamma function; digamma function; inequalities; asymptotic series

  Doi:

  DOI: https://doi.org/10.2298/AADM241029007M

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• Title:

  ABSOLUTE MONOTONICITY OF A FAMILY OF FUNCTIONS RELATED TO CHEN-MALEŠEVIĆ CONJECTURE

  Authors:

  Zhen-Hang Yang, Tie-Hong Zhao and Miao-Kun Wang

  Classification:

  2020 Mathematical Subject Classification: 26D05, 41A58

  Keywords:

  Keywords and phrases: Gaussian hypergeometric function, Chen-Malešević Conjecture, absolute monotonicity

  Doi:

  DOI: https://doi.org/10.2298/AADM250113010Y

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