This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums.
- Here, is taken to have the value 1.
- is a Bernoulli polynomial.
- is a Bernoulli number, and here,
- is an Euler number.
- is the Riemann zeta function.
- is the gamma function.
- is a polygamma function.
- is a polylogarithm.
Read more about List Of Mathematical Series: Sums of Powers, Binomial Coefficients, Trigonometric Functions, Rational Functions, See Also
Famous quotes containing the words list of, list, mathematical and/or series:
“Every morning I woke in dread, waiting for the day nurse to go on her rounds and announce from the list of names in her hand whether or not I was for shock treatment, the new and fashionable means of quieting people and of making them realize that orders are to be obeyed and floors are to be polished without anyone protesting and faces are to be made to be fixed into smiles and weeping is a crime.”
—Janet Frame (b. 1924)
“Shea—they call him Scholar Jack—
Went down the list of the dead.
Officers, seamen, gunners, marines,
The crews of the gig and yawl,
The bearded man and the lad in his teens,
Carpenters, coal-passers—all.”
—Joseph I. C. Clarke (1846–1925)
“The circumstances of human society are too complicated to be submitted to the rigour of mathematical calculation.”
—Marquis De Custine (1790–1857)
“Depression moods lead, almost invariably, to accidents. But, when they occur, our mood changes again, since the accident shows we can draw the world in our wake, and that we still retain some degree of power even when our spirits are low. A series of accidents creates a positively light-hearted state, out of consideration for this strange power.”
—Jean Baudrillard (b. 1929)