Carl Fabian Emanuel Björling (30 November 1839 – 6 May 1910) was a Swedish mathematician and meteorologist.
He was born on 30 November 1839 in Västerås, Sweden, and died on 6 May 1910. He was the son of mathematician Emanuel Björling and father of lawyer Carl Georg Björling.
He attained his Ph.D. from Uppsala University in 1863. In 1863, he became an associate professor of mathematics at Uppsala University. In 1867 he was appointed a lecturer of mathematics and physics at the Halmstad grammar school.
From 1873 to 1904 he was the professor of mathematics at Lund University. In 1886, he became a member of the Royal Swedish Academy of Sciences.