Applicable Analysis and Discrete Mathematics

Top Research Topics at Applicable Analysis and Discrete Mathematics?

The journal mainly tackles studies in Combinatorics, Discrete mathematics, Pure mathematics, Mathematical analysis and Applied mathematics. Combinatorics study tackled is connected to the field of Upper and lower bounds. The journal explores research in Discrete mathematics and the adjacent study of Eigenvalues and eigenvectors.

Issues in Pure mathematics were discussed, taking into consideration concepts from other disciplines like Type (model theory) and Inequality. The journal focused on Mathematical analysis research but expanded to cover Nonlinear system.

• Combinatorics (37.84%)
• Discrete mathematics (32.77%)
• Pure mathematics (19.03%)

What are the most cited papers published in the journal?

• Fractional integrals and derivatives in q-calculus (168 citations)
• Second-order differential equations: Conditions of complete integrability (158 citations)
• STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES (145 citations)

Research areas of the most cited articles at Applicable Analysis and Discrete Mathematics:

The published articles are organized to reinforce research efforts on Combinatorics, Discrete mathematics, Mathematical analysis, Pure mathematics and Graph. While Discrete mathematics is the key highlight in the journal articles, thet also covered some subjects on Graph theory and Cardinality, Resolving set and Metric dimension. The Mathematical analysis research tackled in the most cited articles is interrelated with Applied mathematics which concerns subjects like Discrete equation, Left and right, Euler's formula and Experimental data.

What topics the last edition of the journal is best known for?

• Mathematical analysis
• Algebra
• Real number

The previous edition focused in particular on these issues:

The objective of Applicable Analysis and Discrete Mathematics is to combine knowledge in the areas of Pure mathematics, Discrete mathematics, Combinatorics, Applied mathematics and Inequality. The Pure mathematics research presented in Applicable Analysis and Discrete Mathematics explores the relationship between Monotonic function and the closely related topic of Injective function, Mittag-Leffler function and Function (mathematics). The research on Discrete mathematics tackled can also make contributions to studies in the areas of Legendre chi function, Spectrum (topology) and Barnes G-function.

Most of the Combinatorics studies addressed also intersect with Polyomino. Topics in Applied mathematics explored in the journal were investigated in conjunction with research in Polynomial, Rational function, Asymptote, Computation and Algebraic number field. It explores issues in Inequality which can be linked to other research areas like Logarithm, Type (model theory), Minimax, Exponential growth and Exponential function.

The most cited articles from the last journal are:

• On complete monotonicity of three parameter Mittag-Leffler function (5 citations)
• Some new estimates of precision of Cusa-Huygens and Huygens approximations (3 citations)
• Rank partition functions and truncated theta identities (1 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Applicable Analysis and Discrete Mathematics (based on the number of publications) are:

• Toufik Mansour (11 papers) absent at the last edition,
• Angeles Carmona (7 papers) absent at the last edition,
• Helmut Prodinger (7 papers) published 1 paper at the last edition,
• Zoran Stanić (6 papers) absent at the last edition,
• Andrés M. Encinas (6 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Applicable Analysis and Discrete Mathematics (based on the number of publications) are:

• University of Belgrade (13 papers) published 6 papers at the last edition, 2 more than at the previous edition,
• University of Haifa (10 papers) absent at the last edition,
• Stellenbosch University (8 papers) published 1 paper at the last edition,
• Polytechnic University of Catalonia (8 papers) absent at the last edition,
• Serbian Academy of Sciences and Arts (8 papers) published 1 paper at the last edition the same number as at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 8.57% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 31.25% were posted by at least one author from the top 10 institutions publishing in the journal. Another 9.38% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 15.62% of all publications and 43.75% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.