The problem of analytic continuation is considered for the Lauricella function $ F_D^{(N)} $,
a generalized hypergeometric functions of $ N $ complex variables. For an arbitrary $ N $ a …

. Эти гипергеометрические ряды являются N-мерным аналогом решений Куммера,
известных в теории классического гипергеометрического уравнения Гаусса. В работе …

Infinite series identities derived from the very well-poised $$\Omega $$ -sum | The
Ramanujan Journal Skip to main content SpringerLink Account Menu Find a journal Publish …

The focus of this work is the solution of a fundamental problem that arises in non–dissipative
nonlinear oscillators and related applications, namely the rare possibility of explicitly …

Wetting of deformable surfaces is a highly debated topic in interface science. A classical
approach employing the localized Young's traction γsinθ and curvature-induced traction …

This paper obtains several evaluations of multivariate hypergeometric functions for particular
parameter values and at special algebraic points. They have a high interest not only on their …

Text In this article we derive some new identities concerning π, algebraic radicals and some
special occurrences of the Gauss hypergeometric function 2 F 1 in the analytic continuation …

Text This paper, pursuing the work started in [16] and [17], holds six new formulae for π, see
Eq.(3.4 a),(3.4 b),(3.4 c),(3.4 d),(3.4 e),(3.4 f), through ratios of first kind complete elliptic …

In this article starting from some reductions of hyperelliptic integrals of genus 3 into elliptic
integrals, due to Michael Roberts (A Tract on the addition of Elliptic and hyperelliptic …

We derive the closed form solutions for the surface area, the capacitance and the
demagnetizing factors of the ellipsoid immersed in the Euclidean space R^ 3. The exact …