[6] viXra:1807.0532 [pdf] submitted on 2018-07-31 08:39:29
Authors: Edigles Guedes
Comments: 5 Pages.
I derive some finite product representations of gamma functions for the Pochhammer's symbol at rational argument.
Category: Functions and Analysis
[5] viXra:1807.0475 [pdf] submitted on 2018-07-28 20:40:47
Authors: Edigles Guedes
Comments: 15 pages.
I derived identities for some surd numbers, involving gamma functions; thence, I have represented them as infinite products.
Category: Functions and Analysis
[4] viXra:1807.0324 [pdf] replaced on 2018-07-28 16:23:07
Authors: Zaid Laadjal
Comments: Pages. After having some modifications on this preprint with other authors, it was published in J. Math. Inequal., Vol. 13, no. 3, (2019), 789–799., Doi: dx.doi.org/10.7153/jmi-2019-13-54
In this paper, we studied an open problem, where using two different methods, we obtained several results for a Lyapunov-type and Hartman-Wintner-type inequalities for a Hadamard fractional differential equation on a general interval [a;b],(1≤a<b) with the boundary value conditions.
Category: Functions and Analysis
[3] viXra:1807.0228 [pdf] submitted on 2018-07-11 05:35:49
Authors: Edigles Guedes
Comments: 6 Pages.
We derive some identities for limit of the exponential for digamma function, k-power and exponential function, involving gamma functions and Pochhammer symbols.
Category: Functions and Analysis
[2] viXra:1807.0227 [pdf] submitted on 2018-07-11 05:38:23
Authors: Edigles Guedes
Comments: 4 Pages.
I derive some news identities for limit of the exponential of Pi/8, involving Pochhammer symbols and secant function.
Category: Functions and Analysis
[1] viXra:1807.0135 [pdf] submitted on 2018-07-07 01:53:55
Authors: Viktor Strohm
Comments: 4 Pages.
The motion of a point along an ellipse under the action of a generalized force is investigated.
Result: differential equation of second-order curves with respect to the focus, differential equation of curves of the second order with respect to the center, general differential equation of second order curves. Several examples of the application of these equations are proposed.
Category: Functions and Analysis