Purpose In this paper, the author introduces a degenerate exponential integral function and
further studies some of its analytical properties. The new function is a generalization of the …

A Harmonic Mean Inequality for the Exponential Integral Function Page 1 HAL Id: hal-03220402
https://hal.science/hal-03220402 Preprint submitted on 7 May 2021 HAL is a multi-disciplinary …

In 1934, Hopf established an elegant inequality bounding the exponential integral function.
In 1959, Gautschi established an improvement of Hopf's results. In 1969, Luke also …

Motivated by the p-analogue of the exponential integral function [1], we introduce a two-
parameter generalization of the Incomplete Exponential Integral function. By using the …

A Harmonic Mean Inequality Concerning the Generalized Exponential Integral Function Page
1 HAL Id: hal-03224564 https://hal.science/hal-03224564 Preprint submitted on 11 May 2021 …

THE i-th DERIVATIVE OF THE p-ANALOGUE OF THE EXPONENTIAL INTEGRAL FUNCTION
AND SOME PROPERTIES The exponential integral function Page 1 Available online at …

In this paper, we established some monotonicity and convexity properties of the p-analogue
of the exponential integral function. The increasing and decreasing, positive and negative …

A HARMONIC MEAN INEQUALITY CONCERNING THE GENERALIZED EXPONENTIAL
INTEGRAL FUNCTION Special functions play a pivotal role in bot Page 1 ADV MATH SCI …