Result: On some integrals appearing in the theory of semiconductors

Title:
On some integrals appearing in the theory of semiconductors
Authors:
Simonzhenkov, S. D.
Publisher Information:
Omsk State University (Omskiĭ Gosudarstvennyĭ Universitet), Faculty of Computer Science (Fakul'tet Komp'yuternykh Nauk), Omsk
Subject Terms:
Other hypergeometric functions and integrals in several variables, Computation of special functions and constants, construction of tables, tabulation of integrals, recursive computation of integrals, confluent hypergeometric functions, Numerical approximation and evaluation of special functions
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/1855624
Accession Number:
edsair.c2b0b933574d..d5c90ba8311cab6c634bbdba70770108
Database:
OpenAIRE

Further Information

Using the confluent hypergeometric functions, the author proposes a numerical method for evaluating the integrals \[ A_n(p,x)=\frac{x^n}{\Gamma (p+1)}\int_{0}^{\infty} e^{-t}t^p (t^n+x^n)^{-1} dt \] and \[ B_n(p,x)=\frac{x^{2n}}{\Gamma (p+1)}\int_{0}^{\infty} e^{-t}t^p (t^n+x^n)^{-2} dt \] for \(p>-1\), \(x>0\), and \(n=1,2,\dots\) .