Special Functions and Orthogonal Polynomials: Symmetry and Applications

Dear Colleagues,

Special functions is an unfortunate denotation for numerous concrete functions playing an important role in various branches of mathematics and applied sciences. Paul Turán is accredited with the authorship of suggestion to call them “useful functions”. They appear in a variety of ways, such as solutions of differential/integral equations, densities of probability distributions, counting combinatorial objects and number-theoretic quantities, evaluation of integrals and summation of series, solutions of the Riemann–Hilbert problems, explicit expression for (multiple) orthogonal polynomials, fractional calculus, and matrix elements of group representations, to name a few.  

This Special Issue welcomes papers devoted to both the theory and applications of special functions. Emphasis will be placed on hypergeometric and related functions and orthogonal polynomials. The fundamental theory of these functions, such as representations, transformation and summation formulas, asymptotic approximations, inequalities, zeros, monotonicity, and complex analytic properties will be at the focus. The second main theme is orthogonal and multiple orthogonal polynomials; both papers concerned with their concrete families and with general properties are welcome. Furthermore, papers on other topics in both mathematics and sciences, where special functions play an important role, are also cordially invited. Articles of survey nature will also be considered.

Dr. Dmitrii Karp
Guest Editor

Manuscript Submission Information

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