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 ...

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 ...

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 ...