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Computational Methods and Function Theory
H-index 8

Computational Methods and Function Theory

1617-9447

Published by: Springer

https://www.springer.com/journal/40315

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 373 13 30 8

Additional Metrics

Number of Best Scientists*: 17
Documents by Best Scientists*: 35
Top 100 Ranked Scientists*: 0
SCIMAGO H-index: 22
SCIMAGO SJR: 0.545
Impact Factor: N/A

Overview

Top Research Topics at Computational Methods and Function Theory?

The scientific interests tackled in the journal are Mathematical analysis, Pure mathematics, Combinatorics, Discrete mathematics and Meromorphic function. The in-depth study on Mathematical analysis also explores topics in the intersecting field of Boundary (topology). Pure mathematics research featured in the journal incorporates concerns from various other topics such as Class (set theory), Type (model theory), Order (group theory) and Domain (mathematical analysis).

The work on Combinatorics tackled in Computational Methods and Function Theory brings together disciplines like Function (mathematics), Entire function and Order (ring theory). The study on Discrete mathematics presented in Computational Methods and Function Theory intersects with subjects under the field of Polynomial. Meromorphic function works presented in Computational Methods and Function Theory have a specific focus on Nevanlinna theory.

The Unit disk works featured in Computational Methods and Function Theory incorporate elements from Analytic function and Unit circle.

  • Mathematical analysis (37.44%)
  • Pure mathematics (33.63%)
  • Combinatorics (29.04%)

What are the most cited papers published in the journal?

  • Complex Difference Equations of Malmquist Type (105 citations)
  • Conformal Mappings between Canonical Multiply Connected Domains (96 citations)
  • Clifford Analysis: History and Perspective (87 citations)

Research areas of the most cited articles at Computational Methods and Function Theory:

The most cited articles are organized to address concerns in the fields of Mathematical analysis, Pure mathematics, Combinatorics, Discrete mathematics and Meromorphic function. The most cited articles feature Mathematical analysis research that overlaps with concepts in Function (mathematics). Issues in Pure mathematics were discussed in the published papers, taking into consideration concepts from other disciplines like Class (set theory), Type (model theory) and Order (group theory).

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

  • Mathematical analysis
  • Complex number
  • Real number

The previous edition focused in particular on these issues:

The journal mainly deals with areas of study such as Combinatorics, Pure mathematics, Entire function, Meromorphic function and Order (ring theory). It explores issues in Combinatorics which can be linked to other research areas like Function (mathematics), Type (model theory) and Complex plane. The journal focuses on Complex plane but sometimes tackles the closely related disciplines such as

  • Unit disk which is related to area like Harmonic (mathematics),
  • Regular polygon which is related to area like Harmonic function..

Computational Methods and Function Theory focuses on Pure mathematics but the discussions also offer insight into other areas such as Derivative, Differential (mathematics) and Composition (combinatorics). The studies on Entire function discussed can also contribute to research in the domains of Discrete mathematics, Conjecture and Modulus. The concepts on Meromorphic function presented in Computational Methods and Function Theory can also apply to other research fields, including Normality and Uniqueness.

The most cited articles from the last journal are:

  • Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals (7 citations)
  • Unicity of Entire Functions Concerning Their Shifts and Derivatives (5 citations)
  • Generalization of Pólya's Zero Distribution Theory for Exponential Polynomials, and Sharp Results for Asymptotic Growth (4 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.

The top authors publishing in Computational Methods and Function Theory (based on the number of publications) are:

  • Elias Wegert (15 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • David Minda (13 papers) published 2 papers at the last edition, 1 more than at the previous edition,
  • Alan F. Beardon (12 papers) published 5 papers at the last edition, 4 more than at the previous edition,
  • James K. Langley (12 papers) absent at the last edition,
  • Vladimir V. Andrievskii (11 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.

Only papers with recognized affiliations are considered

The top affiliations publishing in Computational Methods and Function Theory (based on the number of publications) are:

  • University of Nottingham (24 papers) published 1 paper at the last edition the same number as at the previous edition,
  • University of Eastern Finland (23 papers) published 5 papers at the last edition,
  • Université de Montréal (18 papers) absent at the last edition,
  • Purdue University (18 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Technical University of Berlin (15 papers) absent at the last 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, 7.89% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 20.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 5.71% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 18.57% of all publications and 55.71% 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.

Top Publications

  • Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals

    Tie-Hong Zhao;Zai-Yin He;Yu-Ming Chu

    (2021)
    166 Citations
  • Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind

    (2020)
    85 Citations
  • Numerical Conformal Mapping with Rational Functions

    Lloyd N. Trefethen

    (2020)
    50 Citations
  • Inequalities for Generalized Grötzsch Ring Function

    (2021)
    45 Citations
  • Bohr type inequalities for functions with a multiple zero at the origin

    Saminathan Ponnusamy;Karl-Joachim Wirths

    (2020)
    20 Citations
  • Conformal Invariants in Simply Connected Domains

    Mohamed M. S. Nasser;Matti Vuorinen

    (2020)
    10 Citations
  • Conformal Modulus of the Exterior of Two Rectilinear Slits

    D. Dautova;S. Nasyrov;M. Vuorinen

    (2020)
    8 Citations
  • Teichmüller’s Theorem in Higher Dimensions and Its Applications

    Anatoly Golberg;Toshiyuki Sugawa;Matti Vuorinen

    (2020)
    8 Citations
  • Schwarz–Pick and Landau Type Theorems for Solutions to the Dirichlet–Neumann Problem in the Unit Disk

    Peijin Li;Qinghong Luo;Saminathan Ponnusamy

    (2021)
    4 Citations
  • Transformation Properties of Hypergeometric Functions and Their Applications

    (2021)
    4 Citations

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