Equal
(Built-in Mathematica Symbol) lhs == rhs returns True if lhs and rhs are identical.
ExpToTrig[expr] converts exponentials in expr to trigonometric functions.
HypergeometricPFQ[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the generalized hypergeometric function \[Null]_p F_q (a; b; z).
InverseGudermannian[z] gives the inverse Gudermannian function gd -1 (z).
Sum
(Built-in Mathematica Symbol) Sum[f, {i, i_max}] evaluates the sum \[Sum]i = 1 i_max f. Sum[f, {i, i_min, i_max}] starts with i = i_min. Sum[f, {i, i_min, i_max, di}] uses steps d i. Sum[f, {i, {i_1, i_2, ...
The standard way in which Mathematica works is to take any expression you give as input, evaluate the expression completely, and then return the result. When you are trying ...
FourierSinTransform[expr, t, \[Omega]] gives the symbolic Fourier sine transform of expr. FourierSinTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...
HypergeometricU[a, b, z] is the confluent hypergeometric function U(a, b, z).
InverseLaplaceTransform[expr, s, t] gives the inverse Laplace transform of expr. InverseLaplaceTransform[expr, {s_1, s_2, ...}, {t_1, t_2, ...}] gives the multidimensional ...
Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...