Bessel Polynomials (Lecture Notes in Mathematics 698) (1978)

Historic sketch.- Bessel polynomials and bessel functions: Differential equations and their solutions.- Recurrence relations.- Moments and orthogonality on the unit circle.- Relations of the BP to classical orthonormal polynomials and to other functions.- Generating functions.- Formulas of rodrigues' type.- The BP and continued fractions.- Expansions of functions in series of BP.- Properties of the zeros of BP.- On the algebraic irreducibility of the BP.- The galois group of B.P..- Asymptotic properties of the BP.- Applications.- Miscellanea.