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Report from the Open Problems Session at OPSFA13.

Howard S Cohl1

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Summary
This summary is machine-generated.

Researchers present open problems in orthogonal polynomials, special functions, and applications from the 13th International Symposium (OPSFA13). These challenges drive future research in mathematical analysis and its applications.

Keywords:
Gegenbauer polynomialsSchur’s inequalityconnection coefficientsdistribution of zeroshypergeometric functionslinearization coefficientsmultiple summationmultiple zeta valuesnumerical algorithmsorthogonal polynomialssymbolic summation

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Area of Science:

  • Mathematical Analysis
  • Special Functions
  • Orthogonal Polynomials

Background:

  • The 13th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA13) convened in Gaithersburg, Maryland.
  • The symposium serves as a key venue for disseminating recent advancements and identifying future research directions.

Purpose of the Study:

  • To document and present the open problems discussed at OPSFA13.
  • To stimulate further research and collaboration in the fields of orthogonal polynomials and special functions.

Main Methods:

  • The abstract does not detail specific methodologies but refers to the presentation of open problems.
  • Discussions and presentations by leading researchers in the field.

Main Results:

  • A collection of significant open problems in orthogonal polynomials, special functions, and their applications was identified.
  • These problems represent key challenges for the mathematical community.

Conclusions:

  • The open problems presented at OPSFA13 highlight active areas of research.
  • Addressing these challenges is expected to lead to new theoretical insights and practical applications.