In mathematics, the Neville theta functions, named after Eric Harold Neville, are defined as follows: θ c ( z , m ) = 2 π q ( m ) 1 / 4 m 1 / 4 K ( m )...

elliptic functions with the Neville theta functions pq ⁡ ( u , m ) = θ p ( u , m ) θ q ( u , m ) {\displaystyle \operatorname {pq} (u,m)={\frac {\theta _{\operatorname...

Look up theta function in Wiktionary, the free dictionary. Theta functions ϑ ( z ; τ ) {\displaystyle \vartheta (z;\tau )} are special functions of several...

elliptic functions Lemniscate elliptic functions Theta functions Neville theta functions Modular lambda function Closely related are the modular forms...

149:292. 1944: Jacobian Elliptic Functions, Clarendon Press via Internet Archive Neville's algorithm Neville theta functions Senechal, Marjorie. (2012). I...

years on Ramanujan's formulae in the area of modular equations, mock theta functions and q-series, and for some time looked after Ramanujan's lost notebook...

to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of α {\displaystyle \alpha...

such as the Ramanujan prime, the Ramanujan theta function, partition formulae and mock theta functions, have opened entire new areas of work and inspired...

\left(-{\frac {x^{2}}{\sin ^{2}\theta }}-{\frac {y^{2}}{\cos ^{2}\theta }}\right)\,\mathrm {d} \theta .} The imaginary error function, denoted erfi, is defined...

description of the elliptic functions, especially in the description of the modular identity of the Jacobi theta function, the Hermite elliptic transcendents...