Hypergeometric1F1Regularized (Built-in Mathematica Symbol)

Hypergeometric1F1Regularized[a, b, z] is the regularized confluent hypergeometric function \[Null]_1 F_1 (a; b; z)/\[CapitalGamma](b).

LessEqual (Built-in Mathematica Symbol)

x <= y or x <= y yields True if x is determined to be less than or equal to y. x_1 <= x_2 <= x_3 yields True if the x TraditionalForm\`i form a nondecreasing sequence.

Less (Built-in Mathematica Symbol)

x < y yields True if x is determined to be less than y. x_1 < x_2 < x_3 yields True if the x_i form a strictly increasing sequence.

LiouvilleLambda (Built-in Mathematica Symbol)

LiouvilleLambda[n] gives the Liouville function \[Lambda](n).

Log10 (Built-in Mathematica Symbol)

Log10[x] gives the base-10 logarithm of x.

MangoldtLambda (Built-in Mathematica Symbol)

MangoldtLambda[n] gives the von Mangoldt function \[CapitalLambda](n).

MathieuCharacteristicA (Built-in Mathematica Symbol)

MathieuCharacteristicA[r, q] gives the characteristic value a_r for even Mathieu functions with characteristic exponent r and parameter q.

MathieuCharacteristicB (Built-in Mathematica Symbol)

MathieuCharacteristicB[r, q] gives the characteristic value b_r for odd Mathieu functions with characteristic exponent r and parameter q.

MathieuCharacteristicExponent (Built-in Mathematica Symbol)

MathieuCharacteristicExponent[a, q] gives the characteristic exponent r for Mathieu functions with characteristic value a and parameter q.

MathieuCPrime (Built-in Mathematica Symbol)

MathieuCPrime[a, q, z] gives the derivative with respect to z of the even Mathieu function with characteristic value a and parameter q.