INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Scope & Guideline
Transforming Ideas into Mathematical Insights
Introduction
Aims and Scopes
- Integral Transforms:
The journal emphasizes the study and development of various integral transforms including Fourier, Laplace, Mellin, and their generalized forms. This includes explorations of their properties, applications, and innovations in their computational techniques. - Special Functions:
A significant focus is placed on special functions such as Bessel, Laguerre, and orthogonal polynomials, exploring their properties, interrelations, and applications in solving differential equations and other mathematical problems. - Functional Analysis:
The journal encompasses research on functional analytic methods, including the study of function spaces, operator theory, and the application of integral transforms in functional analysis. - Pseudo-differential Operators:
Research related to pseudo-differential operators and their applications in various areas of mathematics, particularly in relation to integral transforms, is a consistent theme within the journal. - Applications in Physics and Engineering:
Many articles explore the applications of integral transforms and special functions in physics and engineering, particularly in areas such as signal processing, quantum mechanics, and mathematical physics. - Theoretical Mathematics:
The journal also publishes theoretical research that advances the understanding of integral transforms and special functions, contributing to the broader field of mathematics.
Trending and Emerging
- Fractional Calculus and Transforms:
There is an increasing focus on fractional calculus and its applications, particularly in the context of fractional Fourier transforms and fractional differential equations, highlighting a growing interest in non-integer order derivatives. - Wavelet Transforms and Time-Frequency Analysis:
Wavelet transforms and their applications in time-frequency analysis are becoming more prominent, indicating a trend towards exploring how these methods can provide insights into signal processing and data analysis. - Computational Techniques and Algorithms:
Emerging themes include the development of new computational techniques and algorithms for evaluating integral transforms and special functions, reflecting the need for efficient methods in both theoretical and applied mathematics. - Multi-dimensional and Generalized Transforms:
Research on multi-dimensional and generalized transforms is trending, showcasing an interest in expanding the traditional frameworks of integral transforms to accommodate more complex scenarios. - Interdisciplinary Applications:
There is a noticeable increase in the exploration of interdisciplinary applications, particularly in physics, engineering, and computer science, indicating a trend where mathematical innovations are being utilized in practical contexts.
Declining or Waning
- Classical Orthogonal Polynomials:
Although classical orthogonal polynomials have been a staple of the journal, there seems to be a waning interest in purely classical approaches, with fewer publications focusing solely on these topics without a modern context. - Basic Integral Representations:
Research centered around basic integral representations of functions has seen a decline, possibly due to the increasing complexity and specialization of topics in recent publications. - Elementary Functions:
There is a noticeable decrease in publications that focus on elementary functions and their basic properties, as the journal leans more towards advanced mathematical concepts and applications.
Similar Journals
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences
Catalyzing Innovation in Analysis and OptimizationThe Journal of Contemporary Mathematical Analysis, published by PLEIADES PUBLISHING INC, is a prominent peer-reviewed journal dedicated to advancing the field of mathematics. With ISSN 1068-3623 and E-ISSN 1934-9416, this journal serves as a platform for scholars to disseminate innovative research in various subfields, including analysis, applied mathematics, control, and optimization. Established in 2009 and running until 2024, the journal is recognized in the Q4 category across its domains, reflecting its evolving impact within the academic community. Despite currently ranking in the lower quartiles according to Scopus metrics, it is an invaluable resource for emerging researchers and professionals seeking to contribute to and engage with contemporary mathematical theories and applications. The journal’s focus on bridging theory with practical application makes it essential for those working at the intersection of mathematics and its diverse real-world applications.
Differential and Integral Equations
Shaping the Future of Applied MathematicsDifferential and Integral Equations is a renowned peer-reviewed journal published by KHAYYAM PUBL CO INC, focusing on the rich and expanding field of mathematical analysis and applied mathematics. With its ISSN 0893-4983, this journal serves as a critical platform for disseminating innovative research, particularly in the areas of differential and integral equation theory and its applications across various scientific disciplines. Maintaining a significant presence in the academic community, it ranks in the Q2 category for both Analysis and Applied Mathematics as of 2023, highlighting its impact and relevance. The journal's indexed rankings place it at the 67th percentile in Mathematics - Analysis and the 54th percentile in Mathematics - Applied Mathematics, further establishing it as a valued resource for emerging researchers and established professionals alike. Although open access is not currently available, the journal remains crucial for those seeking to contribute to and stay informed on advancements in differential equations and their applications, with converged publication years from 1988 to 1995, 2009 to 2014, and continuing through 2016 to 2024. Researchers, professionals, and students will find that this journal provides essential insights and fosters collaboration within the dynamic mathematical community.
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
Pioneering Research in Harmonic Analysis and ApplicationsAPPLIED AND COMPUTATIONAL HARMONIC ANALYSIS is a leading journal in the field of applied mathematics, published by Academic Press Inc Elsevier Science. With an impressive impact ranking reflected in its Q1 quartile status and a Scopus rank of #84 out of 635 in Applied Mathematics, the journal highlights significant advancements and innovative applications of harmonic analysis and computational techniques. Established in 1993 and continuing through 2024, it offers a platform for researchers and professionals to publish high-quality original research and review articles. Although it does not operate under an open access model, the journal's rigorous peer-review process ensures that only the most impactful research is disseminated, making it an essential resource for students and scholars alike. By facilitating a deeper understanding of both theoretical and practical aspects of harmonic analysis, this journal plays a crucial role in furthering academic dialogue and collaboration within the mathematical community.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
Fostering interdisciplinary approaches to difference equations.The Journal of Difference Equations and Applications, published by Taylor & Francis Ltd, is a vital resource for researchers and professionals in the fields of algebra, analysis, and applied mathematics. With its ISSN 1023-6198 and E-ISSN 1563-5120, this esteemed journal aims to foster the development and understanding of difference equations and their applications across various mathematical contexts. Since its inception in 1995, the journal has consistently ranked within the Q2 category for Algebra and Number Theory, Analysis, and Applied Mathematics, showcasing its high-impact contributions to the field. The journal is particularly noteworthy for its rigorous peer-review process and commitment to advancing mathematical knowledge and research. Although it is not open access, it remains accessible through various institutional subscriptions. With a focus on innovative methodologies and interdisciplinary approaches, the Journal of Difference Equations and Applications is essential reading for those looking to stay at the forefront of mathematical research and applications.
PUBLICATIONES MATHEMATICAE DEBRECEN
Charting the Course of Mathematical ExcellencePublicationes Mathematicae Debrecen is a renowned international journal published by the University of Debrecen, Institute of Mathematics, situated in Hungary. This journal, with both ISSN 0033-3883 and E-ISSN 2064-2849, has established itself in the field of mathematics since its inception, with coverage extending from 1997 to 2024. Recognized for its rigorous academic standards, it currently holds a Q3 ranking in the mathematics (miscellaneous) category for 2023 and ranks at the 42nd percentile among general mathematics journals in Scopus. Publicationes Mathematicae Debrecen aims to disseminate high-quality research across various areas of mathematics, contributing to the advancement of knowledge and practice in this dynamic field. Although it is not an open-access journal, its readers can access a wealth of scholarly work that addresses both theoretical and applied mathematical issues, making it an invaluable resource for researchers, professionals, and students alike.
Analysis-International Mathematical Journal of Analysis and its Applications
Bridging Theory and Application in MathematicsAnalysis - International Mathematical Journal of Analysis and its Applications, published by Walter de Gruyter GmbH, has been a pivotal resource in the fields of analysis and applied mathematics since its inception in 1981. This journal, with the ISSN 0174-4747 and E-ISSN 2196-6753, aims to bridge theoretical and practical applications of mathematical principles, catering to a global audience of researchers, professionals, and students. Operating from Berlin, Germany, it has established a reputation for publishing high-quality, peer-reviewed articles that contribute significantly to the understanding of analysis, numerical methods, and their applications in various scientific domains. While currently not an Open Access journal, it offers a wealth of knowledge to those invested in advancing mathematical theories and their real-world applications. The journal's presence in the Q3 quartile category across critical mathematical disciplines, as denoted by its Scopus rankings, reflects its commitment to scholarly excellence and relevance in a rapidly evolving field. With contributions expected to continue through 2024, Analysis remains an essential platform for advancing discourse and dissemination of innovative mathematical ideas.
COMPTES RENDUS MATHEMATIQUE
Advancing mathematical frontiers, one paper at a time.COMPTES RENDUS MATHEMATIQUE is an esteemed open-access journal published by ACAD SCIENCES, dedicated to advancing the field of mathematics. Founded in France, this journal has established itself as a vital platform for scholarly communication within the mathematical community, receiving a commendable Q2 ranking in Mathematics (Miscellaneous) for 2023, reflective of its commitment to high-quality research dissemination. The journal’s impact is further underscored by its position within the Scopus rankings, where it is recognized among the top 205 out of 399 journals in the broader category of General Mathematics. With an open-access model launched in 2020, COMPTES RENDUS MATHEMATIQUE ensures that research is widely accessible, promoting collaboration and innovation within academia. Covering a wide range of mathematical disciplines, it welcomes contributions that push the boundaries of knowledge in the field. The journal's convergence of issues from 2002 to 2024 positions it as a reliable source of foundational and cutting-edge mathematics research, appealing to researchers, professionals, and students alike. Its address is located in the heart of Paris at 23 Quai de Conti, 75006, France, reinforcing its legacy in a city renowned for its scholarly contributions.
Applicable Analysis and Discrete Mathematics
Fostering Collaboration in Mathematical ResearchApplicable Analysis and Discrete Mathematics is a prestigious academic journal dedicated to the fields of analysis, applied mathematics, and discrete mathematics. Published by the esteemed University of Belgrade, Faculty of Electrical Engineering, this journal has established itself as a vital resource for researchers, professionals, and students alike, with a strong focus on advancing theoretical and practical knowledge in these disciplines. As of 2023, it holds a commendable ranking in the Q2 quartile across multiple categories including Analysis, Applied Mathematics, and Discrete Mathematics and Combinatorics, reflecting its significant impact and relevance in the academic community, with Scopus rankings placing it in the top 25% for Discrete Mathematics and Combinatorics. Although currently not an open-access journal, it strives to provide a platform for high-quality original research articles and discussions that bridge theoretical insights and real-world applications. Since its inception in 2007 and set to continue through 2024, the journal remains committed to fostering innovation and collaboration within the mathematical sciences.
Dolomites Research Notes on Approximation
Elevating Mathematical Discourse through Open AccessDolomites Research Notes on Approximation (ISSN: 2035-6803) is a distinguished open access journal published by PADOVA UNIV PRESS, based in Italy. Since its inception in 2009, the journal has become a vital resource for researchers and professionals in the fields of applied mathematics and miscellaneous mathematics. With its current quartile rankings in Q3 for Applied Mathematics and Q2 for Mathematics (Miscellaneous) as of 2023, Dolomites Research Notes provides a platform for high-quality research insights and breakthroughs. Ranked #34 out of 90 in the miscellaneous mathematics category and #389 out of 635 in applied mathematics on Scopus, the journal maintains a strong global presence in the academic community. Its commitment to disseminating innovative research from 2013 to 2024 makes it essential reading for those engaged in the mathematical sciences. Researchers, students, and academics alike will benefit from the wealth of knowledge presented in its articles, fostering continued advancement and exploration in the field.
FORUM MATHEMATICUM
Unraveling Complexities: Where Mathematics Meets InsightFORUM MATHEMATICUM, published by WALTER DE GRUYTER GMBH, is a distinguished academic journal based in Germany, known for its significant contributions to the field of mathematics. With an ISSN of 0933-7741 and an E-ISSN of 1435-5337, the journal features comprehensive studies ranging from applied mathematics to diverse mathematical disciplines. Having maintained a commendable presence since 1989, FORUM MATHEMATICUM has achieved notable classification rankings, including Q2 in Applied Mathematics and Q1 in miscellaneous Mathematics as of 2023. Additionally, it holds a Scopus rank within the top 60th percentile in General Mathematics, making it a prominent platform for researchers and professionals seeking rigorous analysis and innovative methodologies in mathematics. While the journal does not currently offer open access, its rich content is pivotal for advancing mathematical theory and applications, appealing to students and seasoned academics alike.