Results 21 to 30 of about 266 (93)

An explicit formula for computing Bell numbers in terms of Lah and Stirling numbers [PDF]

Mediterranean Journal of Mathematics 13 (2016), no. 5, 2795--2800, 2014
In the paper, the author finds an explicit formula for computing Bell numbers in terms of Lah numbers and Stirling numbers of the second kind.
arxiv   +1 more source

On bounds of the sine and cosine along straight lines on the complex plane

Acta Universitatis Sapientiae: Mathematica, 2019
In the paper, the author discusses and computes bounds of the sine and cosine along straight lines on the complex plane.
Qi Feng
doaj   +1 more source

Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels

Journal of King Saud University: Science, 2023
The discrete analysed fractional operator technique was employed to demonstrate positive findings concerning the Atangana-Baleanu and discrete Caputo-Fabrizo fractional operators.
Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Dumitru Baleanu, Eman Al-Sarairah, Soubhagya Kumar Sahoo, Nejmeddine Chorfi   +5 more
doaj  

Umbral Methods and Harmonic Numbers

Axioms, 2018
The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli, Bruna Germano, Silvia Licciardi, Maria Renata Martinelli   +3 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

Finite trigonometric sums arising from Ramanujan's theta functions [PDF]

arXiv, 2022
Two classes of finite trigonometric sums, each involving only $\sin$'s, are evaluated in closed form. The previous and original proofs arise from Ramanujan's theta functions and modular equations.
arxiv  

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

Some Analytical Properties of the Hyperbolic Sine Integral [PDF]

arXiv, 2023
By using some tools of analysis, we establish some analytical properties such as monotonicity and inequalities involving the hyperbolic sine integral function. As applications of some of the established properties, we obtain some rational bounds for the hyperbolic tangent function.
arxiv  

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