Symbols used for functions

Sqrt root: .

Identities containing Sqrt

The absolute value of the real or complex number : for real and for complex .

Identities containing Abs

Complex conjugate of the number .

Identities containing Conjugate

Factorial of : .

Identities containing Factorial

Double factorial of :

Identities containing Factorial2

Binomial coefficient: .

Identities containing Binomial

Multinomial coefficient: .

Identities containing Multinomial

Pochhammer symbol representing the product: .

Identities containing Pochhammer

Power function: .

Identities containing Power

The root of algebraic equation : .

Identities containing Root

Positive infinity symbol.

Identities containing Infinity

Symbolic value of a complex number when its absolute value tends to infinity.

Identities containing ComplexInfinity

Symbolic value of a complex number when its absolute value tends to infinity and its argument coincides with :

Identities containing DirectedInfinity

Indeterminate value symbol.

Identities containing Indeterminate

One degree :

Identities containing Degree

The greatest integer less than or equal to : .

Identities containing Floor

The smallest integer greater than or equal to : .

Identities containing Ceiling

The integer closest to : .

Identities containing Round

The congruence (mod) (the remainder on division of by ): .

Identities containing Mod

The Clebsch‐Gordan coefficient for the decomposition of in terms of .

Identities containing ClebschGordan

The value of the Wigner ‐symbol.

Identities containing ThreeJSymbol

The value of the Racah ‐symbol.

Identities containing SixJSymbol

The list of the numbers of digits in the base b representation of . is the number of times the digit appears in the base representation of the integer ; .

Identities containing DigitCount

Jacobi symbol, an integer function of and : Jacobi symbol is identical to Kronecker symbol.

Identities containing JacobiSymbol

Kronecker symbol, an integer function of and : Kronecker symbol is identical to Jacobi symbol.

Identities containing KroneckerSymbol