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Integral Transforms and Special Functions
H-index 5

Integral Transforms and Special Functions

1065-2469

Published by: Taylor & Francis

https://www.tandfonline.com/toc/gitr20/current

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 591 10 14 4

Additional Metrics

Number of Best Scientists*: 14
Documents by Best Scientists*: 17
Top 100 Ranked Scientists*: 0
SCIMAGO H-index: 50
SCIMAGO SJR: 0.592
Impact Factor: 1

Overview

Top Research Topics at Integral Transforms and Special Functions?

Integral Transforms and Special Functions facilitates discussions on Mathematical analysis, Pure mathematics, Algebra, Discrete mathematics and Orthogonal polynomials. Many of the studies tackled connect Mathematical analysis with a similar field of study like Function (mathematics). The research on Pure mathematics tackled can also make contributions to studies in the areas of Space (mathematics), Type (model theory) and Series (mathematics).

Special functions is the primary subject of Algebra works presented in it. Integral Transforms and Special Functions connects the study in Orthogonal polynomials with the closely related area of Laguerre polynomials. Classical orthogonal polynomials research presented in the journal encompasses a variety of subjects, including Discrete orthogonal polynomials and Difference polynomials.

Integral Transforms and Special Functions addresses concerns in Bessel function which are intertwined with other disciplines, such as Bessel process, Struve function and Bessel polynomials. The journal holds forums on Two-sided Laplace transform that merges themes from other disciplines such as Mellin transform, Laplace transform and Laplace transform applied to differential equations. Issues in Generalized hypergeometric function were discussed, taking into consideration concepts from other disciplines like Basic hypergeometric series and Confluent hypergeometric function.

  • Mathematical analysis (44.94%)
  • Pure mathematics (37.07%)
  • Algebra (18.22%)

What are the most cited papers published in the journal?

  • GENERALIZED MITTAG-LEER FUNCTION AND GENERALIZED FRACTIONAL CALCULUS OPERATORS (318 citations)
  • Integration and differentiation to a variable fractional order (299 citations)
  • Completely monotonic functions (264 citations)

Research areas of the most cited articles at Integral Transforms and Special Functions:

Mathematical analysis, Pure mathematics, Discrete mathematics, Algebra and Fractional calculus are the main subjects of interest in the journal articles. The studies tackled in the journal publications, which mainly focus on Mathematical analysis, apply to Function (mathematics) as well. The most cited papers address concerns in Algebra which are intertwined with other disciplines, such as Wilson polynomials, Orthogonal polynomials, Discrete orthogonal polynomials, Jacobi polynomials and Classical orthogonal polynomials.

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

  • Mathematical analysis
  • Complex number
  • Algebra

The previous edition focused in particular on these issues:

The main research concerns discussed in Integral Transforms and Special Functions are Pure mathematics, Mathematical analysis, Type (model theory), Fourier transform and Orthogonal polynomials. Some problems in Pure mathematics that were presented in it overlapped with concepts under Function (mathematics), Class (set theory) and Product (mathematics). It explores issues in Mathematical analysis which can be linked to other research areas like Cylinder and Inversion (discrete mathematics).

The studies on Type (model theory) discussed can also contribute to research in the domains of Differential operator, Fractional calculus, Mittag-Leffler function and Hankel transform. The close relationship between Convolution and Integral transform and Laplace transform is one of the points of interest dissected in Fourier transform research. While work presented in the journal provided substantial information on Orthogonal polynomials, it also covered topics in Recurrence relation, Polynomial and Differential equation.

The most cited articles from the last journal are:

  • Uncertainty principles for the Opdam–Cherednik transform on modulation spaces (4 citations)
  • Symbolic computations via Fourier–Legendre expansions and fractional operators (3 citations)
  • Quantitative uncertainty principles associated with the directional short-time Fourier transform (3 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 Integral Transforms and Special Functions (based on the number of publications) are:

  • Hari M. Srivastava (77 papers) absent at the last edition,
  • Semyon Yakubovich (35 papers) published 4 papers at the last edition, 3 more than at the previous edition,
  • John T. Conway (26 papers) published 4 papers at the last edition the same number as at the previous edition,
  • Yu. A. Brychkov (26 papers) published 4 papers at the last edition, 2 more than at the previous edition,
  • Vu Kim Tuan (19 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 Integral Transforms and Special Functions (based on the number of publications) are:

  • University of Victoria (74 papers) absent at the last edition,
  • Russian Academy of Sciences (34 papers) published 4 papers at the last edition, 1 more than at the previous edition,
  • University of Porto (34 papers) published 4 papers at the last edition, 3 more than at the previous edition,
  • Tunis University (32 papers) published 5 papers at the last edition, 1 less than at the previous edition,
  • University of Agder (25 papers) published 4 papers 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, 11.96% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 27.16% were posted by at least one author from the top 10 institutions publishing in the journal. Another 6.17% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 11.11% of all publications and 55.56% 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

  • Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

    Michael Ruzhansky;Niyaz Tokmagambetov;Berikbol Torebek

    (2020)
    10 Citations
  • Cauchy type problems for fractional differential equations

    Erkinjon Karimov;Michael Ruzhansky;Michael Ruzhansky;Niyaz Tokmagambetov;Niyaz Tokmagambetov

    (2021)
    7 Citations
  • Some properties relating to the Mittag–Leffler function of two variables

    Maged G. Bin-Saad;Anvar Hasanov;Michael Ruzhansky

    (2021)
    7 Citations
  • On the characterizations of third-degree semiclassical forms via polynomial mappings

    (2022)
    5 Citations
  • Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions

    (2023)
    4 Citations
  • Non-homogeneous wave equation on a cone

    Sheehan Olver;Yuan Xu

    (2021)
    4 Citations
  • Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices

    Peter J. Forrester;Shi-Hao Li;Shi-Hao Li

    (2021)
    3 Citations
  • A generalized sextic Freud weight

    Peter A. Clarkson;Kerstin Jordaan

    (2021)
    3 Citations
  • Bispectral Laguerre type polynomials

    Antonio J. Durán;Manuel D. de la Iglesia

    (2020)
    3 Citations
  • On the properties of zeros of Bessel series in the real line

    Antonio J. Durán;Mario Pérez;Juan L. Varona

    (2021)
    2 Citations

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