A relation connecting the values of a meromorphic function inside a disk with its boundary values on the circumference and with
its zeros and poles (Jensen 1899, Levin 1980). Let be holomorphic on a neighborhood
of the closed disk and , , ..., be the zeros of in the open disk counted according to their multiplicities, and assume
that
on .
Then
Borwein, P. and Erdélyi, T. "Jensen's Formula." §4.2.E.10c in Polynomials
and Polynomial Inequalities. New York: Springer-Verlag, p. 187, 1995.Jensen,
J. L. "Sur un nouvel et important théorème de la théorie
des fonctions." Acta Math.22, 359-364, 1899.Krantz,
S. G. "Jensen's Formula." §9.1.2 in Handbook
of Complex Variables. Boston, MA: Birkhäuser, pp. 117-118, 1999.Levin,
B. Ya. Distribution
of Zeros of Entire Functions. Providence, RI: Amer. Math. Soc., 1980.
be holomorphic on a neighborhood
of the closed disk 
and 
, 
, ..., 
be the zeros of 
in the open disk 
counted according to their multiplicities, and assume
that 
on 
.
Then
