Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...

AbstractMaking use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses Ω𝑎,𝑐(𝑝, 𝐴, 𝐵, 𝜆) and Ω a,c + (p,A,B,λ) of ...

Revise differentiation of algebraic and trigonometric expressions, which can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a ...