Advances in Approximation Theory, Appell Polynomials, and Orthogonal Polynomials: Fractional Calculus and Applications

Approximation theory, orthogonal polynomials, special functions, and fractional calculus are well-established fields of research within the mathematical sciences. Over the centuries, these areas have evolved into classical disciplines, enriched by groundbreaking contributions that have introduced innovative methodologies and provided deep insights into both theoretical and applied problems.

This Research Topic aims to showcase recent trends, novel methodologies, and significant applications in these fields. We particularly encourage contributions that explore the role of fractional calculus in approximation theory, as well as its connections to orthogonal polynomials and special functions, emphasizing their impact on solving contemporary theoretical and applied problems, including those in engineering mathematics.

We welcome submissions related to:
1. Innovative techniques in approximation theory.
2. Advancements in Appell polynomials, orthogonal polynomials, and special functions.
3. Applications of fractional calculus in mathematics, physics, and engineering.
4. Connections with combinatorics, number theory, function theory, and integrable systems and dynamical systems.

We are accepting a range of article types, including original research, review articles, and methodology papers.

Article types and fees

This Research Topic accepts the following article types, unless otherwise specified in the Research Topic description:

• Brief Research Report
• Curriculum, Instruction, and Pedagogy
• Data Report
• Editorial
• FAIR² Data
• General Commentary
• Hypothesis and Theory
• Methods
• Mini Review
• ... View all formats

Articles that are accepted for publication by our external editors following rigorous peer review incur a publishing fee charged to Authors, institutions, or funders.

Article types

This Research Topic accepts the following article types, unless otherwise specified in the Research Topic description:

• Brief Research Report
• Curriculum, Instruction, and Pedagogy
• Data Report
• Editorial
• FAIR² Data
• General Commentary
• Hypothesis and Theory
• Methods
• Mini Review
• Opinion
• Original Research
• Perspective
• Review
• Technology and Code

Keywords: orthogonal polynomials, special functions, fractional calculus, dynamical systems, engineering

Important note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.