ON AN EXTENSION OF A QUADRATIC TRANSFORMATION FORMULA DUE TO GAUSS

Generalization of a Quadratic Transformation Formula due to Gauss

Extension of a quadratic transformation due to Exton

Keywords: Quadratic transformation Hypergeometric function of order two Kummer–type transformations Bailey's transform a b s t r a c t By applying various known summation theorems to a general formula based upon Bailey's transform theorem due to Slater, Exton has obtained numerous new quadratic transformations involving hypergeometric functions of two and of higher order. Some of the results ha...

Extension of a quadratic transformation due to Whipple with an application

The aim of this research is to provide an extension of an interesting and useful quadratic transformation due to Whipple. The result is derived with the help of extension of classical Saalschütz’s summation theorem recently added in the literature. The transformation is further used to obtain a new hypergeometric identity by employing the so-called beta integral method introduced and studied sy...

Quadratic Zonotopes - An Extension of Zonotopes to Quadratic Arithmetics

Affine forms are a common way to represent convex sets of R using a base of error terms ǫ P r ́1, 1s. Quadratic forms are an extension of affine forms enabling the use of quadratic error terms ǫiǫj . In static analysis, the zonotope domain, a relational abstract domain based on affine forms has been used in a wide set of settings, e.g. setbased simulation for hybrid systems, or floating point an...

the aesthetic dimension of howard barkers art: a frankfurtian approach to scenes from an execution and no end of blame

رابطه ی میانِ هنر و شرایطِ اجتماعیِ زایش آن همواره در طولِ تاریخ دغدغه ی ذهنی و دل مشغولیِ اساسیِ منتقدان و نیز هنرمندان بوده است. از آنجا که هنر در قفس آهنیِ زندگیِ اجتماعی محبوس است، گسترش وابستگیِ آن با نهاد ها و اصولِ اجتماعی پیرامون، صرفِ نظر از هم سو بودن و یا غیرِ هم سو بودنِ آن نهاد ها، امری اجتناب ناپذیر به نظر می رسد. با این وجود پدیدار گشتنِ چنین مباحثِ حائز اهمییتی در میان منتقدین، با ظهورِ مکتب ما...

Gauss-Hermite approximation formula

A multidimesional function y(~r) defined by a sample of points {~ri, yi} is approximated by a differentiable function ỹ(~r). The problem is solved by using the GaussHermite folding method developed in the nuclear shell correction method by Strutinsky.