Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions

Euler's Formula via Potential Functions

A new proof of Euler's formula for polytopes is presented via an approach using potential functions. In particular, a connection between Euler's formula and the Morse relation from differential topology is established.

The Analytic Class Number Formula and L-functions

A generalized Birkhoff-Young-Chebyshev quadrature formula for analytic functions

A generalized N-point Birkhoff–Young quadrature of interpolatory type, with the Chebyshev weight, for numerical integration of analytic functions is considered. The nodes of such a quadrature are characterized by an orthogonality relation. Some special cases of this quadrature formula are derived. 2011 Elsevier Inc. All rights reserved.

On Interpolation and Sampling in Hilbert Spaces of Analytic Functions

In this paper we give new proofs of some theorems due to Seip Seip Wallst en and Lyubarskii Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights The results are also given in a somewhat more general setting Introduction In a series of recent papers Seip S Seip Wallst en S W and Lyuabarskii Seip L S have studi...

Interpolation of entire functions, product formula for basic sine function