Results 21 to 30 of about 88 (84)

Some Inequalities for Generalized Hyperbolic Functions

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
doaj   +1 more source

q-Functions and Distributions, Operational and Umbral Methods

Mathematics, 2021
The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials.
Giuseppe Dattoli, Silvia Licciardi, Bruna Germano, Maria Renata Martinelli   +3 more
doaj   +1 more source

On the Fresnel sine integral and the convolution

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2327-2333, 2003., 2003
The Fresnel sine integral S(x), the Fresnel cosine integral C(x), and the associated functions S+(x), S−(x), C+(x), and C−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel sine integral and its associated functions with x+r, xr are evaluated.
Adem Kılıçman
wiley   +1 more source

On the Fresnel integrals and the convolution

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2635-2643, 2003., 2003
The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated.
Adem Kiliçman, Brian Fisher
wiley   +1 more source

On some trigonometric power sums

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 3, Page 185-191, 2002., 2002
Using the generating function method, the closed formulas for various power sums of trigonometric functions are established. The computer algebra system Maple is used to carry out the complex calculations.
Hongwei Chen
wiley   +1 more source

On the sine integral and the convolution

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 6, Page 365-375, 2002., 2002
The sine integral Si(λx) and the cosine integral Ci(λx) and their associated functions Si+(λx), Si−(λx), Ci+(λx), Ci−(λx) are defined as locally summable functions on the real line. Some convolutions of these functions and sin(μx), sin+(μx), and sin−(μx) are found.
Brian Fisher, Fatma Al-Sirehy
wiley   +1 more source

Numerical Investigation of Fractional Third-Order Differential Equation Using Quartic B-Spline Functions

Advances in Mathematical Physics
MSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool, Muhammad Abbas, Madiha Shafiq, Y. S. Hamed, Asnake Birhanu   +4 more
doaj   +1 more source

The monotonicity of ratios involving arc tangent function with applications

Open Mathematics, 2019
In this paper, we investigate the monotonicity of the ...
Yang Zhen-Hang, Tin King-Fung, Gao Qin
doaj   +1 more source

Further results on the neutrix composition of distributions involving the delta function and the function cosh+-1(x1/r+1)$\cosh _ + ^{ - 1}\left( {{x^{1/r}} + 1} \right)$

Demonstratio Mathematica, 2019
The neutrix composition F(f (x)) of a distribution F(x) and a locally summable function f (x) is said to exist and be equal to the distribution h(x) if the neutrix limit of the sequence {Fn(f (x))} is equal to h(x), where Fn(x) = F(x) * δn(x) and {δn(x)}
Fisher Brian, Tas Kenan
doaj   +1 more source

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source