Skip to main content
added 17 characters in body
Source Link
GabS
  • 407
  • 3
  • 11

How to compute the

$$\int_{0}^{1} \int_{0}^{1} \frac{(\log(1+x^2)-\log(1+y^2))^2 }{|x-y|^{2}}dx dy.$$ Is it possible to compute the integral analytically upto some terms. I believe it should involve hypergeometric series. Any Any ideas are welcome.

How to compute the

$$\int_{0}^{1} \int_{0}^{1} \frac{(\log(1+x^2)-\log(1+y^2))^2 }{|x-y|^{2}}dx dy.$$ Is it possible to compute the integral analytically. I believe it should involve hypergeometric series. Any ideas are welcome.

How to compute the

$$\int_{0}^{1} \int_{0}^{1} \frac{(\log(1+x^2)-\log(1+y^2))^2 }{|x-y|^{2}}dx dy.$$ Is it possible to compute the integral analytically upto some terms. I believe it should involve hypergeometric series. Any ideas are welcome.

added 127 characters in body
Source Link
GabS
  • 407
  • 3
  • 11

How to compute the

$$\int_{0}^{1} \int_{0}^{1} \frac{(\log(1+x^2)-\log(1+y^2))^2 }{|x-y|^{2}}dx dy.$$ Is it possible to compute the integral analytically. I believe it should involve hypergeometric series. Any ideas are welcome.

How to compute the

$$\int_{0}^{1} \int_{0}^{1} \frac{(\log(1+x^2)-\log(1+y^2))^2 }{|x-y|^{2}}dx dy.$$

How to compute the

$$\int_{0}^{1} \int_{0}^{1} \frac{(\log(1+x^2)-\log(1+y^2))^2 }{|x-y|^{2}}dx dy.$$ Is it possible to compute the integral analytically. I believe it should involve hypergeometric series. Any ideas are welcome.

more specific title
Link
Carlo Beenakker
  • 188.1k
  • 18
  • 448
  • 651

Estimate the Evaluation of a double integralsdefinite integral with a singularity

edited title
Link
GabS
  • 407
  • 3
  • 11
Loading
deleted 164 characters in body; edited tags
Source Link
GabS
  • 407
  • 3
  • 11
Loading
edited tags
Link
GabS
  • 407
  • 3
  • 11
Loading
Source Link
GabS
  • 407
  • 3
  • 11
Loading