Published January 1, 2025
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Truncated-Exponential-Based General-Appell Polynomials
- 1. Gazi Univ, Grad Sch Nat & Appl Sci, TR-06500 Ankara, Turkiye
- 2. Gazi Univ, Fac Sci, Dept Math, TR-06560 Ankara, Turkiye
- 3. Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, via Mersin 10, TR-99628 Famagusta, North Cyprus, Turkiye
- 4. Univ Calabria, Dept Math & Comp Sci, I-87036 Arcavacata Di Rende, CS, Italy
Description
In this paper, a new and general form of truncated-exponential-based general-Appell polynomials is introduced using the two-variable general-Appell polynomials. For this new polynomial family, we present an explicit representation, recurrence relation, shift operators, differential equation, determinant representation, and some other properties. Finally, two special cases of this family, truncated-exponential-based Hermite-type and truncated-exponential-based Laguerre-Frobenius Euler polynomials, are introduced and their corresponding properties are obtained.
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