Special hypergeometric functions

extension of the factorial function, with its argument shifted down by 1, to real and complex numbers

mathematical function with a constant base and a variable exponent, denoted exp_a(x) or a^x

families of solutions to related differential equations

mathematical function

solutions to Legendre's differential equation

sigmoid shape special function which occurs in probability, statistics and partial differential equations

polynomial sequence

special function over the surface of a sphere

special function defined by an integral

family of special functions defined by an integral

two sequences of polynomials

polynomial sequence

special function defined as the antiderivative of 1∕㏑(𝑥)

special function defined by an integral

special function defined by an integral

polynomial sequence

special function in the physical sciences

orthogal polynomial sequence on the interval [−1,1] with respect to the weight function (1−𝑥²)^{𝛼−½}

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(of a real number a) unique real root of the polynomial x^5+x+a

irreducible representation of the rotation group SO

solution to Schrödinger equation with Coulomb potential

concept in mathematics

solution of a confluent hypergeometric equation

family of orthogonal polynomials

mathematics concept