Some properties of generalized hypergeometric Appell polynomials

In this paper, we present a new real-valued Appell-type polynomial family $A_n^{(k)}(m,x),$ every member of which is expressed by mean of a generalized hypergeometric function. The generating exponential function of this type of polynomials is firstly discovered and the proof that they are of Appell-type ones is given. We present the differential operator formal power series representation as well as an explicit formula over the standard basis, and establish a new identity for the generalized hypergeometric function. Besides, we derive the addition, the multiplication and some other formulas for this polynomial famil

Mere om det Beatsonske System og dermed forbundne Redskaber.

Mere om det Beatsonske System og dermed forbundne Redskaber

Nogle Uddrag af fremmed landoeconomisk Literatur, med et Par indledende Ord om en Kundskabs-Prøve for unge Landmænd.

Nogle Uddrag af fremmed landoeconomisk Literatur, med et Par indledende Ord om en Kundskabs-Prøve for unge Landmænd

Mere om selvhedet Foder.

Mere om selvhedet Foder

Den peruvianske Riis.

Den peruvianske Riis

Om en i Hertugdømmet Holsteen oprettet Examens-Commission for Landmænd, især Gods- og Avls-Forvaltere.

Om en i Hertugdømmet Holsteen oprettet Examens-Commission for Landmænd, især Gods- og Avls-Forvaltere

Stubroer.

Stubroer

Om det Beatsonske System, og hvad deri denne Anledning senest har tildraget sig i Tyskland.

Om det Beatsonske System, og hvad deri denne Anledning senest har tildraget sig i Tyskland

Forsamlinger af Landmænd.

Forsamlinger af Landmænd

SEIS: Insight's Seismic Experiment for Internal Structure of Mars.

By the end of 2018, 42 years after the landing of the two Viking seismometers on Mars, InSight will deploy onto Mars' surface the SEIS (Seismic Experiment for Internal Structure) instrument; a six-axes seismometer equipped with both a long-period three-axes Very Broad Band (VBB) instrument and a three-axes short-period (SP) instrument. These six sensors will cover a broad range of the seismic bandwidth, from 0.01 Hz to 50 Hz, with possible extension to longer periods. Data will be transmitted in the form of three continuous VBB components at 2 sample per second (sps), an estimation of the short period energy content from the SP at 1 sps and a continuous compound VBB/SP vertical axis at 10 sps. The continuous streams will be augmented by requested event data with sample rates from 20 to 100 sps. SEIS will improve upon the existing resolution of Viking's Mars seismic monitoring by a factor of ∼ 2500 at 1 Hz and ∼ 200 000 at 0.1 Hz. An additional major improvement is that, contrary to Viking, the seismometers will be deployed via a robotic arm directly onto Mars' surface and will be protected against temperature and wind by highly efficient thermal and wind shielding. Based on existing knowledge of Mars, it is reasonable to infer a moment magnitude detection threshold of M w ∼ 3 at 40 ∘ epicentral distance and a potential to detect several tens of quakes and about five impacts per year. In this paper, we first describe the science goals of the experiment and the rationale used to define its requirements. We then provide a detailed description of the hardware, from the sensors to the deployment system and associated performance, including transfer functions of the seismic sensors and temperature sensors. We conclude by describing the experiment ground segment, including data processing services, outreach and education networks and provide a description of the format to be used for future data distribution.Electronic supplementary materialThe online version of this article (10.1007/s11214-018-0574-6) contains supplementary material, which is available to authorized users