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 ...

Simplify or manipulate expressions involving polynomial, radical, exponential, or logarithmic terms using appropriate properties and rules Use numeric or variable substitution while working with ...

Lehner's 1949 results on the j-invariant showed high divisibility of the function's coefficients by the primes p ∈ {2, 3, 5, 7}. Expanding his results, we examine a canonical basis for the space of ...