A Note on <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>q</a:mi> </a:math>-Fubini-Appell Polynomials and Related Properties
Abdulghani Muhyi, Serkan Aracı
Abstract
The present article is aimed at introducing and investigating a new class of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M2"> <a:mi>q</a:mi> </a:math> -hybrid special polynomials, namely, <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M3"> <c:mi>q</c:mi> </c:math> -Fubini-Appell polynomials. The generating functions, series representations, and certain other significant relations and identities of this class are established. Some members of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M4"> <e:mi>q</e:mi> </e:math> -Fubini-Appell polynomial family are investigated, and some properties of these members are obtained. Further, the class of 3-variable <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" id="M5"> <g:mi>q</g:mi> </g:math> -Fubini-Appell polynomials is also introduced, and some formulae related to this class are obtained. In addition, the determinant representations for these classes are established.