Special Issue "Special Polynomials"
Deadline for manuscript submissions: closed (30 March 2020).
Interests: q-Calculus; p-adic Analysis; Analytic Number Theory; Complex Analysis
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Special numbers and polynomials play an extremely important role in the development of several branches of mathematics, physics and engineering. The problems arising in the mathematical physics and engineering fields are mathematically framed in terms of differential equations. Most of them can only be solved using families of special functions which provide new means of mathematical analysis. Such families can be described in various ways, for instance, by orthogonality conditions, as solutions to differential equations, by generating functions, by recurrence relations, by operational formulas, and by bosonic and fermionic p-adic integrals. In last few years, attention has been centered on obtaining new representations of families of special functions and polynomials.
Each paper that will be published in this Special Issue aims to enrich the understanding of current research problems, theories and applications of some special functions and polynomials.
Prof. Dr. Taekyun Kim
Manuscript Submission Information
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- the modern umbral calculus (binomial, Appell, and Sheffer polynomial sequences)
- number theory and special functions
- applications of special functions to statistics, physical sciences and engineering
- applications of bosonic and fermionic p-adic integrals to special functions and polynomials