Results 41 to 50 of about 39,153 (198)
A physicist's guide to the solution of Kummer's equation and confluent hypergeometric functions
Condensed Matter Physics, 2022 The confluent hypergeometric equation, also known as Kummer's equation, is one of the most important differential equations in physics, chemistry, and engineering. Its two power series solutions are the Kummer function, M(a,b,z), often referred to as the
W. N. Mathews Jr. +3 more
doaj +1 more source
Kummer-faithfulness for function fields
, 2023 A perfect field $K$ is said to be Kummer-faithful if the Mordell-Weil group of every semi-abelian variety over every finite extension of $K$ has no nonzero divisible element. The class of Kummer-faithful fields contains that of sub-$p$-adic fields and is thought to be suitable for developing anabelian geometry.
openaire +2 more sources
Journal of Otolaryngology - Head and Neck Surgery, 2022 Background The aim of this study was to evaluate speech outcomes following surgical intervention for velopharyngeal dysfunction (VPD). Perceptual speech outcome data were subsequently analyzed in conjunction with patient factors such as congenital ...
Ryan Instrum +3 more
doaj +1 more source
On Kapteyn-Kummer Series' Integral Form [PDF]
, 2016 In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer's $M$ (or confluent hypergeometric ${}_1F_1$) functions.
Baricz, Árpád +2 more
core +2 more sources
On the generalized Jacobi-Kummer cyclotomic function [PDF]
Transactions of the American Mathematical Society, 1916 where q is a prime of the form Xv + 1, and c, d are integers prime to q. The pioneer work in this field was done by Gauss,t who showed that for X = 3 the determination of the number of solutions could be made to depend on the representation of 4q by the form A2 + 27B2, and for X = 4 on the representation of q by the form A2 + B2.
openaire +1 more source
New Laplace transforms of Kummer’s confluent hypergeometric functions
Mathematical and Computer Modelling, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Yong Sup +2 more
openaire +2 more sources
Bioengineered Lymphatic Vessels in Synthetic Matrices to Study Breast Cancer Cell Functions
Advanced Healthcare Materials, EarlyView.Lymphatic vessels are involved in cancer metastasis. To study the interplay between metastasizing cancer cells and lymphatic vessels under highly reproducible conditions, advanced in vitro models are required. In this work, 3D lymphatic networks are formed in biomimetic hydrogels and their interactions with invasive and non‐invasive cancer cell‐lines ...
Rodi Odabasi +7 more
wiley +1 more source
Carlitz-Kummer function fields
Journal of Number Theory, 1990 Let \(L\) be a field and let \(m\) be a positive integer prime to the characteristic of \(L\). Assume that \(L\) contains a primitive \(m\)-th root of unity. One then has the basic Kummer duality which describes abelian extensions of \(L\) of exponent \(m\) in terms of subgroups of \(L^*\) which contain \(L^{*m}\).
openaire +2 more sources
, 2017 Kummer (1851) and, many years later, Ihara (2005) both posed conjectures on invariants related to the cyclotomic field $\mathbb Q(\zeta_q)$ with $q$ a prime. Kummer's conjecture concerns the asymptotic behaviour of the first factor of the class number of
A. Granville +18 more
core +1 more source
The Birth-Death-Mutation process: a new paradigm for fat tailed distributions [PDF]
, 2010 Fat tailed statistics and power-laws are ubiquitous in many complex systems. Usually the appearance of of a few anomalously successful individuals (bio-species, investors, websites) is interpreted as reflecting some inherent "quality" (fitness, talent ...
David A. Kessler +3 more
core +5 more sources