Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials

Key Points

• The aim is to introduce a new class of Appell polynomials derived from Gould–Hopper–Fubini polynomials and explore their characteristics.
• Established a new hybrid class of special polynomials.
• Derived the generating function using the monomiality principle.
• Investigated symmetry identities and obtained a determinant representation.
• Supported findings with computational studies and visual representations.
• Introduced a novel family of Appell polynomials.
• Established connections with Gould–Hopper–Fubini polynomials.
• Derived important symmetry identities.
• Provided determinant representations for the new polynomials.