mathematics, a Jackson q-Bessel function (or basic Bessel function) is one of the three q-analogs of the Bessel function introduced by Jackson (1906a, 1906b...

Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's...

Hahn–Exton q-Bessel function or the third Jackson q-Bessel function is a q-analog of the Bessel function, and satisfies the Hahn-Exton q-difference equation...

q-Gaussian Tsallis entropy Basic hypergeometric series Elliptic gamma function Hahn–Exton q-Bessel function Jackson q-Bessel function q-exponential q-gamma...

Heaviside step function, J ν ( z ) {\textstyle J_{\nu }(z)} is a Bessel function, I ν ( z ) {\textstyle I_{\nu }(z)} is a modified Bessel function of the first...

function. It was introduced by Jackson (1905). It is given by Γ q ( x ) = ( 1 − q ) 1 − x ∏ n = 0 ∞ 1 − q n + 1 1 − q n + x = ( 1 − q ) 1 − x ( q ; q...

Bernoulli: Bernoulli polynomial Friedrich Bessel: Bessel function, Bessel–Clifford function H. Blasius: Blasius functions R. P. Boas, R. C. Buck: Boas–Buck polynomial...

vertical heights whose kernel is given in terms of the order-zero Bessel function of the first kind as 1 | x − x ′ | = ∫ 0 ∞ J 0 ( k R 2 + R ′ 2 − 2...

introduced several q-analogs such as the Jackson–Bessel functions, the Jackson-Hahn-Cigler q-addition, the Jackson derivative, and the Jackson integral. Ernst...

critically damped (i.e., Q = 1⁄2). A second-order Bessel filter (i.e., continuous-time filter with flattest group delay) has an underdamped Q = 1⁄√3. A second-order...