On Bell based Appell polynomials
نویسندگان
چکیده
Recently, several Bell based polynomials such as Bernoulli, Euler, Genocchi and Apostol versions were defined investigated. The main aim of this paper is to introduce the general family Appell polynomials, which includes many new members in addition existing ones, investigate their properties including determinantal representation, recurrence relation, derivative formula, shift operators differential equation. Furthermore, we 2-iterated Bell-Appell similar properties. With help family, also obtain closed form summation formulae between usual generalized polynomials. Finally, Bernoulli-Euler, Bernoulli-Genocchi, Euler-Genocchi Stirling-Appell second kind special cases state corresponding results.
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ژورنال
عنوان ژورنال: Turkish Journal of Mathematics
سال: 2023
ISSN: ['1303-6149', '1300-0098']
DOI: https://doi.org/10.55730/1300-0098.3415