OOIR: Observatory of International Research

Papers

(The median citation count of Applicable Analysis and Discrete Mathematics is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-05-01 to 2025-05-01.)

Article	Citations
Asymptotic and numerical aspects of the generalized Marcum function of the second kind	18
Sharp bounds for the elliptic integral of the first kind in terms of two classes of logarithmic-type functions	11
The best possible constants approach for Wilker-Cusa-Huygens inequalities via stratification	9
Finite sums involving trigonometric functions and special polynomials: Analysis of generating functions and p-adic integrals	9
Estimating the generalized Euler-Mascheroni constant	6
An equivalent property of a Hilbert-type integral inequality and its applications	5
Generating functions for generalization Simsek numbers and their applications	5
A note on degenerate multi-poly-Bernoulli numbers and polynomials	5
Applications of the generalized function-to-sequence transform	5
Characterization of strongly regular integral circulant graphs by spectral approach	5
Rank partition functions and truncated theta identities	4
New family of Jacobi-Stirling numbers	4
Application of the fink identity to Jensen-type inequalities for higher order convex functions	4
Granular computing on basic digraphs	3
New series with Cauchy and Stirling numbers, Part 2	3
Enumeration of Hamiltonian cycles on a thick grid cylinder - Part II: Contractible Hamiltonian cycles	3
An identity involving derangement numbers and Bell numbers	3
The extended Eulerian numbers over function fields	3
The constructor-blocker game	3
Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma	2
Extensions of the Erdös-lax polynomial inequality	2
Noncanonical fourth-order nonlinear neutral differential equations of Emden-Fowler type: Oscillation via canonical transform	2
Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold	2
Symmetric sums of binomial coefficients	2
On rapidly varying sequences	2

Smooth squared, triangular, and hexagonal bargraphs	2
Formulas for q-combinatorial Simsek numbers and polynomials: Analyzing with computational implementations	2
Two parameterized series representations for the digamma function	2
Sharp bounds on Hankel determinants of bounded turning functions involving the hyperbolic tangent function	2
Some properties of the Catalan numbers	1
Bier spheres of extremal volume and generalized permutohedra	1
A monotonicity theorem for the generalized elliptic integral of the first kind	1
On the Rademacher perturbed geometric distribution	1
Homology of polyomino tilings on flat surfaces	1
Absolute monotonicity of a family of functions related to Chen-Malesevic conjecture	1
On generalization of Mercer’s inequality involving averages of convex functions	1
Oscillation of odd-order differential equations with a nonpositive sublinear neutral term and distributed deviating arguments	1
Series expansions for powers of sinc function and closed-form expressions for specific partial bell polynomials	1
Voronovskaja type results for the Aldaz-Kounchev-Render versions of generalized Baskakov operators	1
Inverse problem for Dirac operators with a constant delay less than half the length of the interval	1
Some fixed point theorems for α-admissible θ-ɸ-multivalued contraction mappings in b-metric spaces	1
The structure of the 2-factor transfer digraph common for rectangular, thick cylinder and Moebius strip grid graphs	1
Some new results related to the constant e and function (1+1/x)x	1
Refinements of some inequalities involving means	1
Asymptotic expansions of stable, stabilizable and stabilized means with applications	1
3-path vertex cover and dissociation number of hexagonal graphs	1
Enumeration of non-crossing partitions according to subwords with repeated letters	0
Estimates on some quadrature rules via weighted Hermite-Hadamard inequality	0
Trees maximizing the number of almost-perfect matchings	0
Hügelschäffer egg curve and surface	0
Some general Wilker-Huygens inequalities	0
Note on an inequality of M.A. Malik	0
Umbral operators for Cayley and Sylvester continuants	0
Existence of regular nut graphs and the fowler construction	0
New sharp inequalities of Mitrinovic-Adamovic type	0
Impulsive q-Sturm-Liouville problems	0
A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions	0
Scaled evolution of the Hanin inequality	0
Euler sums of generalized harmonic numbers and connected extensions	0
On the zero bounds of polynomials and regular functions of a quaternionic variable	0
Sharp bounds for Toader mean by arithmetic and centroidal means in exponential type with applications	0
Asymptotic expansions and inequalities relating to the gamma function	0
Comparison inequalities of Bernstein-type between polynomials with restricted zeros	0
Asymmetric extension of Pascal-Delannoy triangles	0
On a problem of Mező and its generalizations to three classes of rational zeta series	0
Commutative von Neumann regular rings are 1-Gröbner	0
Equivalent conditions of a reverse Hilbert - type integral inequality in the whole plane and applications	0
A new class of generalized Fubini polynomials and their computational algorithms	0
Counting subword patterns in permutations arising as flattened partitions of sets	0
Multi-dimensional Weyl almost periodic type functions and applications	0
Four types of variant Euler harmonic sums	0
Sharp inequalities for the complete elliptic integrals of the first and second kinds	0
Integral Cayley graphs over semi-dihedral groups	0
Water capacity of Dyck bridges	0
By analysis of moments of geometric distribution: New formulas involving Eulerian and Fubini numbers	0

Vertex-degree-based topological indices of arbitrary sets of hexagons in the regular hexagonal grid	0
Connected domination game: Predomination, Staller-start game, and lexicographic products	0
Families of log Legendre Chi function integrals	0
A non-negative integer-valued model: Estimation, count regression and practical examples	0
Fixed point equations with abstract Volterra operators on spaces of functions of several variables	0
A note on sharpening of a theorem of Ankeny and Rivlin	0
Complete asymptotic expansions related to the probability density function of the χ2-distribution	0
Sharp Wilker, Huygens, Adamovic-Mitrinovic, Cusa and Shafer-Fink type inequalities involving the sine integral	0
Several new inequalities of tanc function with applications to Seiffert mean	0
On spectral theory of a k-uniform directed hypergraph	0
Anisotropic discrete boundary value problems	0
Some results on degenerate Fubini and degenerate Bell polynomials	0
A Bernstein-Schnabl type operator: Applications to difference equations	0
Oscillatory behavior of semi-canonical third-order delay differental equations with a superlinear neutral term	0
On approximating properties of blended variant of Kantorovich-Stancu type Lupaş operators	0
Refinements of Huygens-Wilker-Lazarovic inequalities via the hyperbolic cosine polynomials	0
An identity involving derangement numbers and Bell numbers	0
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 gen	0
Determinant evaluation of banded Toeplitz matrices via bivariate polynomial families	0
Euler sums of generalized harmonic numbers and connected extensions	0
Sharp double-exponent type bounds for the lemniscate sine function	0
Formulae for anti-triangular block matrices which include the Drazin inverse	0
Comparison inequalities between polynomials with constraints on their zeros	0
On the Seidel integral graphs which belong to the class αKa ∪ βKb,b	0
Laplace transform of analytic composite functions via Bell’s polynomials	0
Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions	0
Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity	0
Complete monotonicity involving the divided difference of polygamma functions	0
Eulerian fractions and Stirling, Bernoulli and Euler functions with complex order parameters and their impact on the polylogarithm function	0
On some computational aspects of Hermite & Haar wavelets on a class of nonlinear singular BVPs	0
Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order	0
Sharp Shafer-Fink, Lazarevic and Cusa type inequalities for the Gudermannian and inverse Gudermannian functions	0
Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants	0
New family of root-finding algorithms based on inverse rational interpolation	0
The relationship between Huygens’ and Wilker’s inequalities and further remarks	0
Protection numbers in simply generated trees and Pólya trees	0