A0675
Title: Relation between distribution of number of photons detected and interpolation function of Bernoulli-Barnes polynomials
Authors: Burcin Simsek - Bristol-Myers Squibb (United States) [presenting]
Abstract: Using the binomial theorem, some novel identities are provided in the same type as those provided in a prior study of photon counts in two-photon laser scanning microscopy. By using this equation and other identities, some new formulas and relations, including the Barnes zeta functions and the Bernoulli-Barnes polynomials and numbers, are derived. A Raabe-type formula is also proven related to these polynomials and numbers. Moreover, applications of these identities and formulas are investigated to stochastic point processes.
