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
.
:
for real 
and 
for complex 
.
.
: 
.
: 
.
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.
.
root 
of algebraic equation 
: 
.
: 
: 
: 
.
: 
.
: 
.
by 
): 
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in terms of 
.
‐symbol.
‐symbol.
digits in the base 
. 
is the number of times the digit 
appears in the base 
representation of the integer 
; 
.
and 
: 
Jacobi symbol is identical to Kronecker symbol.
and 
: 
Kronecker symbol is identical to Jacobi symbol.