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Special Polynomial Sequences

Call for Papers

Special functions are well known for their evincing properties and great applicability in interdisciplinary areas of science. The problems arising in physical sciences and engineering are mathematically framed in terms of differential equations. Most of them can only be solved using special functions. Special functions and orthogonal polynomials provide new means of analysis for the solution of large classes of differential equations often encountered in physical problems. In particular, sequences of special polynomials play a fundamental role in applied mathematics. Such sequences can be described in various ways, for example, by orthogonality conditions, as solutions to differential equations, by generating functions, by recurrence relations, and by operational formulas. In last few years, attention has been centered on obtaining new representations of polynomial sequences. This special issue seeks papers from mathematicians working in the areas related to analytical approaches of special polynomial sequences and their applications in other parts of mathematics and in science and industry. Papers from physicists, computational scientists, and application scientists illustrating the applications of these sequences in other fields are also welcome.

Potential topics include but are not limited to the following:

  • The modern umbral calculus (binomial, Appell, and Sheffer polynomial sequences)
  • Orthogonal polynomials, matrix orthogonal polynomials, multiple orthogonal polynomials, and orthogonal polynomials of several variables
  • Lie-theoretic approach to special functions
  • Matrix and determinant approach to special polynomial sequences
  • Applications of special polynomial sequences in approximation theory and in boundary value problems
  • Number theory and special functions
  • Asymptotic methods in orthogonal polynomials and special functions
  • Fractional calculus and special functions
  • Symbolic computations and special functions
  • Applications of special functions to statistics, physical sciences, and engineering

Authors can submit their manuscripts through the Manuscript Tracking System at

Submission DeadlineFriday, 30 November 2018
Publication DateApril 2019

Papers are published upon acceptance, regardless of the Special Issue publication date.

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