Results 31 to 40 of about 92 (86)

Some special functions and cylindrical diffusion equation on α-time scale

Demonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu, Tuncer Zehra, Gergün Seçil, Yantir Ahmet   +3 more
doaj   +1 more source

Generalized Fractional Integral Inequalities of σ‐Convex Functions

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
wiley   +1 more source

Solution to an open problem on a logarithmic integral and derived results

Annals of the West University of Timisoara: Mathematics and Computer Science
This article solves an open problem that was previously stated by providing an exact evaluation of a logarithmic integral. Furthermore, the result is generalized by introducing a new adjustable parameter.
Coine Clément, Chesneau Christophe
doaj   +1 more source

Generalization of Some Inequalities for the Ratio of Gamma Functions [PDF]

, 2014
access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
M. M. Iddrisu, E. Prempeh, Copyright C K. Nantomah, K. Nantomah   +3 more
core  

Generalization of Some Inequalities for The Gamma Function

, 2020
An inequality involving the Euler gamma function is presented. This result generalizes several recently published results by C. Alsina and M.S. Tomás, N. V . Vinh, N. P. N. Ngoc.
Thao Hien, Nguyen Ngoc, Pham Thi, Nguyen Van Vinh, Ngo Phuoc   +4 more
core  

On certain properties and expansions of zeta matrix function, digamma matrix function and polygamma matrix function

, 2020
We introduce the generalized zeta matrix function, digamma matrix function and polygamma matrix function. We obtain the regions of convergence of these matrix functions, some recurrence relations and their integral representations.
Sahai, Vivek, Dwivedi, Ravi
core  

The evaluation of a definite integral by the method of brackets illustrating its flexibility

Open Mathematics
The method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan, Santander John Lopez, Moll Victor H.   +2 more
doaj   +1 more source

A Fractional LC − RC Circuit [PDF]

, 2006
Mathematics Subject Classification: 26A33, 30B10, 33B15, 44A10, 47N70, 94C05We suggest a fractional differential equation that combines the simple harmonic oscillations of an LC circuit with the discharging of an RC circuit.
Alzoubi, F., Hasan (Qaseer), M., Rousan, A., Khateeb, H., Ayoub, N., Al-Qadi, M., Albiss, B.   +6 more
core  

alsirehyAMS312708-8p.dvi

, 2014
The neutrix convolutions (1+x) s ln(1+x + ) x r and x s ln(1+x + ) x r are evaluated for r, s = 0, 1, 2, . . . . Further results are also given.
Brian Fisher, Fatma Al-Sirehy
core  

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source