Proceedings of the American Mathematical Society, Vol. 134, No. 8 (Aug., 2006), pp. 2259-2270 (12 pages) An analogue of Taylor's formula, which arises by substituting the classical derivative by a ...

Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...

Each term in this sequence is doubling (multiplying by 2) to create the next term. Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to multiply or divide by a ...