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 ...

Cambridge University Press (www.cambridge.org) is the publishing division of the University of Cambridge, one of the world’s leading research institutions and winner of 81 Nobel Prizes. Cambridge ...

In this article we prove the formulas (1) and (2). Transition to the limiting values of functions or to „the principal values of functions" shows that these formulas also hold for s = m (m natural ...

Thomas J Catalano is a CFP and Registered Investment Adviser with the state of South Carolina, where he launched his own financial advisory firm in 2018. Thomas' experience gives him expertise in a ...