The Plank function approximation

A. V. Shilkov

Keldysh Institute of Applied Mathematics RAS, 4, Miusskaya Square, 125047 Moscow, Russia

Abstract: In thermal radiation transport problems often it is required to calculate the integral from Plank function on a finite interval of spectrum. The paper presents analytical approximation of this integral and related integrals.

Keywords: thermal radiation, Plank function, incomplete Riemann zeta function, analytical approximation.

Received: 13.02.2012

 English version: Mathematical Models and Computer Simulations, 2013, 5:2, 175–179

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